Publications

The Physics, Information, and Computation of Perennial Learning: Kolmogorov Complexity, Information Distance and Port-Hamiltonian Thermodynamics

Chandrajit Bajaj

Entropy, 2026, 28(5), 551, Special Issue dedicated to Professor Paul Vitányi

Computer Algebra Meets Hamiltonian Geometry

Chandrajit Bajaj

Maple Transactions, 2026, Tribute to Laureano González–Vega

Scalable Risk-Averse Well-Placement Optimization Using Quadratic Knapsack Problem and Randomized Singular Value Decomposition

R. Farell, J. E. Bickel, C. Bajaj

SPE Journal 31.01 (2026): 480-496.

A Novel Tri-Modal Viral–Ultrasound Gene-Delivery Therapy Protocol for Lysosomal Neurodegeneration via Stochastic Model Optimization with Uncertainty Quantification and Generalizability

Kartheek Nekkanti, Chandrajit Bajaj

arXiv

Learning Material-Aware Hamiltonian Risk Fields for Safe Navigation

A. S. Ellendula, Y. Wang, C. Bajaj

arXiv:2605.07038

When Descent Is Too Stable: Event-Triggered Hamiltonian Learning to Optimize

Y. Wang, C. Bajaj

arXiv:2605.06868

PHAST: Port-Hamiltonian Architecture for Structured Temporal Dynamics Forecasting

Shubham Bhardwaj and Chandrajit Bajaj

arXiv:2602.17998

QC-PHAST Search: Classical--Quantum Query Benchmarks for Finite-Pool Rare-Regime Discovery

Harsh Milind Tirhekar, Chandrajit Bajaj

arXiv:2607.21995

Validity Gates Expose Limits of Longitudinal Multimodal Parkinson Disease Prediction

H. M. Tirhekar, P. Yadav, C. Bajaj

Preprint, 2026 (arXiv submission in preparation)

Signed Dopaminergic Asymmetry Tracks Contralateral Motor Laterality in Parkinson’s Disease

H. M. Tirhekar, P. Yadav, C. Bajaj

Preprint, 2026 (arXiv submission in preparation)

A Prior-Robust Sensitivity and Factorial-Necessity Analysis of Tri-Modal Viral-Ultrasound Gene Delivery for Lysosomal Neurodegeneration

Kartheek Nekkanti, Chandrajit Bajaj

Preprint, 2026 (arXiv submission in preparation)

GRL-SNAM: Geometric Reinforcement Learning with Path Differential Hamiltonians for Simultaneous Navigation and Mapping in Unknown Environments

AS Ellendula, Y Wang, M Nguyen, C Bajaj

International Conference on Learning Representations (ICLR), 2026

Posterior-calibrated multimodal motor states reveal longitudinal and imaging-associated heterogeneity in Parkinson’s disease

H. M. Tirhekar, P. Yadav, C. Bajaj

bioRxiv:2026.06.12.732003v1
MICCAI 2026

AI4PD: A Multi-Agent Clinical Web Portal for Querying the Unseen States of Patients with Parkinson’s Disease

Ryan Farell, Harsh Milind Tirhekar, Garvit Bansal, Shubham Bhardwaj, Aditya Sai Ellendula, Andrew Farell, Kartheek Nekkanti, Aparna Dev, Priyanshi Yadav, Ashwin Vinod, Yi Wang, Chandrajit Bajaj

Submitted to MICAD 2026, 7th International Conference on Medical Imaging and Computer-Aided Diagnosis (under review)

A Differential and Pointwise Control Approach to Reinforcement Learning

MP Nguyen, CL Bajaj

The Thirty-ninth Annual Conference on Neural Information Processing Systems (NeurIPS), Dec 2025

Scalable Robust Bayesian Co-Clustering with Compositional ELBOs

A. Vinod, C. Bajaj

ArXiv

Learning Generalized Hamiltonian Dynamics with Stability from Noisy Trajectory Data

L McLennan, Y Wang, R Farell, M Nguyen, C Bajaj

ArXiv

Pathway Anchored Multimodal Clustering Reveals Circuit Level Signatures in Parkinsons Disease

A Vinod, AS Ellendula, S Bhardwaj, A Dev, A Dominic, C Bajaj

ArXiv

Integrated Genetic, Molecular, and Wearable Sensor Biomarkers Enable Bayesian Machine Learning-Driven Precision Stratification in Parkinson’s Disease: A Comprehensive Multi-Cohort Validation Study

Harsh Milind Tirhekar, Priyanshi Yadav, Chandrajit Bajaj

ArXiv

Self-balancing, Memory Efficient, Dynamic Metric Space Data Maintenance, for Rapid Multi-kernel Estimation

AS Ellendula, C Bajaj

Joint European Conference on Machine Learning and Knowledge Discovery in Databases, Sep 2025

Bayesian Port–Hamiltonian Surrogate for Three-Phase Reservoir Flow Simulation

R Farell, J Eric Bickel, C Bajaj

SPE Middle East Oil and Gas Show and Conference. SPE, 2025.

Field-Scale Bayesian Production Forecasting via Spectral Gaussian-Process Mixtures

R Farell, JE Bickel, C Bajaj

SPE/AAPG/SEG Unconventional Resources Technology Conference. URTEC, 2025.

Stochastic Differential Policy Optimization: A Rough Path Approach to Reinforcement Learning

MP Nguyen, CL Bajaj

Workshop on the Theory of AI for Scientific Computing (COLT), 2025

Robust Learning of Noisy Time Series Collections Using Stochastic Process Models with Motion Codes

C. Bajaj, M. Nguyen

ArXiv

4drecons: 4d neural implicit deformable objects reconstruction from a single rgb-d camera with geometrical and topological regularizations

X Cong, H Yang, L Chen, K Zhang, L Yi, C Bajaj

ArXiv

DeblurSR: Event-Based Motion Deblurring Under the Spiking Representation

C. Song, C. Bajaj, Q. Huang

Proc. Of the 38th Annual AAAI conference on Artificial Intelligence, Vancouver, Canada, Feb. 2024

Sample Efficient Learning of Factored Embeddings of Tensor Fields

C. Bajaj, T. Heo

The 27th International Conference on Artificial Intelligence and Statistics (AISTATS) , Valencia, Spain

GenCorres: Consistent Shape Matching via Coupled Implicit-Explicit Generative Models

H. Yang, X. Huang, B. Sun, C. Bajaj, Q. Huang

International Conference on Learning Representations, ICLR 2024, May 2024

Learning Optimal Control with Stochastic Models of Hamiltonian Dynamics, Springer Series, "Lecture Notes in Networks and Systems".

C. Bajaj, M. Nguyen

IntelliSys 2024, Sept.2-4, Amsterdam, Netherlands

Recipes for when Physics Fails: Recovering Robust Learning of Physics Informed Neural Networks

C. Bajaj, L. McLennan, T. Andeen, A. Roy

Machine Learning: Science and Technology, January 2023

TAssembly: Data-driven fractured object assembly using a linear template model

Z. Deng, J. Jiang, Z. Chen, W. Zhang, Q. Yao, C. Song, Y. Sun, Z. Yang, S. Yan, Q. Huang, C. Bajaj

Computers & Graphics- publisher Elsevier, Volume 113, June 2023, Pages 102-112

DeblurSR: Event-Based Motion Deblurring Under the Spiking Representation

C. Song, C. Bajaj, Q. Huang

ArXiv

GenCorres: Consistent Shape Matching via Coupled Implicit- Explicit Generative Models

H. Yang, X. Huang, B. Sun, C. Bajaj, Q. Huang

ArXiv

A Novel Perspective on Brain Tumor Classification Using Hybrid Algorithm

R. Jayanthi, A. Hepzibah Christinal, D.A. Chandy, and C. Bajaj

2023 IEEE International Conference on Computer, Electronics & Electrical Engineering and their applications (IC2E3), June 2023

Deep Contrastive Patch-Based Subspace Learning for Camera Image Signal Processing

Y. Yang, Y. Wang, C. Bajaj

2023 IEEE World Conference on Applied Intelligence and Computing (AIC 2023)

Reinforcement Learning of Self Enhancing Camera Image and Signal Processing

C. Bajaj, Y. Wang, Y. Yang

In Advances in Data-driven Computing and Intelligent Systems: Selected Papers from International Conference on Advances in Data-driven Computing and Intelligent Systems (ADCIS 2022), Volume 2 (pp. 281-303) Singapore: Springer Nature, Springer Book Series, "Lecture Notes in Networks and Systems".

Application of intelligent edge computing and machine learning algorithms in MBTI personality prediction

J.A. Sharon, A. Hepzibah Christinal, D. Abraham Chandy, C. Bajaj

Intelligent Edge Computing for Cyber-Physical Applications, May 2023, Edited by D. JudeHemanth, BrijB Gupta, Mohamed Elhoseny and Swanti Vijay Shinde, Chapter 11, pp. 187-215, doi:org/10.1016/B978-0-323-99412-5.00003-4

A Distribution-Dependent Mumford-Shah Model for Unsupervised Hyperspectral Image Segmentation

JC. Cohrs, C. Bajaj, B. Berkels

IEEE Transactions on Geoscience and Remote Sensing, Print ISSN: 0196-2892, Online ISSN: 1558-0644, Digital Object Identifier: 10.1109/TGRS.2022.3227061

Sequential Effect of Stochastic Distribution in Compressive Sensing for MRI Images

G. Kowsalya; D. Abraham Chandy, S. Preethi Ceon C. Bajaj

Expert Systems With Applications

HOFS: Higher Order Mutual Information, Approximation for Feature Selection in R

K.Gajowniczek, J. Wu, S. Gupta, C. Bajaj

SoftwareX

Probabilistic PolarGMM: Unsupervised Cluster Learning of Very Noisy Projection Images of Unknown Pose

S. Chockchowwat, C. Bajaj

arXiv:2206.12959

Learning Generative Embeddings using an Optimal Subsampling Policy for Tensor Sketching

C. Bajaj, T. Heo, R. Avlur

https://arxiv.org/abs/2209.00372

A Particle-based Sparse Gaussian Process Optimizer

C. Bajaj, OB. Vaidya, Y. Wang

arXiv:2211.14517v1, https://doi.org/10.48550/arXiv.2211.14517

Solving the Side-Chain Packing Arrangement of Proteins from Reinforcement Learned Stochastic Decision Making

C. Bajaj, C. Li, M. Nguyen

arXiv:2212.03320

E-CIR: Event-Enhanced Continuous Intensity Recovery

C. Song, Q. Huang, C. Bajaj

2022 Conference on Computer Vision and Pattern Recognition, CVPR 2022

Reinforcement Learning of Self Enhancing Camera Image and Signal Processing

C. Bajaj, Y. Wang, Y. Yang

International Conference on Advances in Data-driven Computing and Intelligent Systems (ADCIS 2022), Springer Book Series, "Lecture Notes in Networks and Systems"

Materials for emergent silicon-integrated optical computing

Alexander A. Demkov, Chandrajit Bajaj, John G. Ekerdt, Chris J. Palmstrom, S. J. Ben Yoo

Journal of Applied Physics-(Vol.130, Issue 7), DOI: 10.1063/5.0056441

An Efficient Algorithm to Compute the X-ray Transform

Chong Chen, Runqian Wang, Chandrajit Bajaj, Ozan Oktem

International Journal of Computer Mathematics, DOI:10.1080/00207160.2021, arXiv:20060068v2

Learning Transferable 3D Adversarial Cloaks for Deep Trained Detectors

Arman Maesumi, Mingkang Zhu, Yi Wang, Tianlong Chen, Zhangyang Wang, Chandrajit Bajaj

arxiv.org/abs/2104.11101

Learning Deep Latent Subspaces for Image Denoising

Yunhao Yang, Yuhan Zheng, Yi Wang, Chandrajit Bajaj

arXiv:2104.00253

Invariance-based Multi-Clustering of Latent Space Embeddings for Equivariant Learning

Chandrajit Bajaj, Avik Roy, Haoran Zhang

arXiv 2107.11717, 2021

Deep Predictive Learning of Carotid Stenosis Severity

Yiqun Diao, Oliver Zhao, Priya Kothapalli, Peter Monteleone, Chandrajit Bajaj

arXiv:2108.00296

Learning Optimal Control with Stochastic Models of Hamiltonian Dynamics

Chandrajit Bajaj, Minh Nguyen

arXiv:2111.08108

Robust Learning of Physics Informed Neural Networks

Chandrajit Bajaj, Luke McLennan, Timothy Andeen, Avik Roy

https://arxiv.org/abs/2110.13330, October 26, 2021

Recursive Self-Improvement for Camera Image and Signal Processing Pipeline

Chandrajit Bajaj, Yi Wang, Yunghao Yang, Yuhan Zheng

arXiv:2111.07499

ARAPReg: An As-Rigid-As Possible Regularization Loss for Learning Deformable Shape Generators

Bo Sun, Xiangru Huang, Zaiwei Zhang, Junfeng Jiang, Qixing Huang, Chandrajit Bajaj

International Conference on Computer Vision(ICCV) 2021, arXiv:2108.09432

Scene Synthesis via Uncertainty-Driven Attribute Synchronization

Haitao Yang, Zaiwei Zhang, Siming Yan, Chongyang Ma, Haibin Huang, Yi Zheng, Chandrajit Bajaj, Qixing Huang

International Conference on Computer Vision (ICCV) 2021

Development of Low Rank Sparse Matrix Decomposition for Improving Spatial and Temporal Resolutions of MRI Medical Data

G. Kowsalya, A.Hepzibah Christinal, D.Abraham Chandy, S.Jebasingh, R. Hephzibah, C. Bajaj

Intl. Conference on Advancements in Electrical, Electronics, Communication, Computing and Automation, 2021, ELCVIA: Electronic Letters on Computer Vision and Image Analysis, DOI:10.5565/rev/elcvia.1412

VoroCrust: Voronoi Meshing Without Clipping

A. Abdelkader, C. L. Bajaj, M. S. Ebeida, A. H. Mahmoud, S. A. Mitchell, J. D. Owens, A. A. Rushdi

ACM Transaction on Graphics, May 2020, Article No.:23

Weighted Random Forests to Improve Arrhythimia Classification

K. Gajowniczek, I. Grzegorczyk, T. Zabkowski, C. Bajaj

Electronics as part of the Special Issue Computational Intelligence for Physilogical Sensors and Body Sensor Network. Electronics 2020 Jan; 9,99; doi:10.3390/electronics9010099.

Can 3D Adversarial Logos Cloak Humans?

T. Chen, Y Wang J Zhou, S. Liu, S. Chang, C. Bajaj, Z. Wang

arXiv:2006.14655

A Fast and Adaptive Algorithm to Compute the X-ray Transform

C. Chen, R. Wang, C. Bajaj, O. Oktem

arXiv: 2006.00686v2

A Fully Automated, Faster Noise Reduction Approach to Increasing the Analytical Capability of Chemical Imaging for Digital Histopathology

S. Gupta, S. Mittal, A. Kajdacsy-Balla, R. Bhargava, C. L. Bajaj

Plos One https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0205219 DOI: 10.1101/425835,

Tensor Maps for Synchronizing Heterogeneous Shape Collections

Q. Huang, Z. Liang, H. Wang, S. Zuo, C. Bajaj

ACM Transactions on Graphics (Siggraph 2019), 38:4 (106:1--106:18) DOI: 10.1145/3197517.3201359

Blind Hyperspectral-Multispectral Image Fusion via Graph Laplacian Regularization

C. L. Bajaj, T. Wang

Arxiv:1902.08224

A Streaming model for Generalized Rayleigh with extensions to Minimum Noise Fraction

S. Gupta, C. Bajaj

Proc. Of IEEE Big Data Conferencee 2019, DOI: 10.1109/BigData47090.2019.9006512

SketchyCoreSVD: SketchySVD from Random Subsampling of the Data Matrix

C. Bajaj, Y. Wang, T. Wang

Proc. Of IEEE Big Data Conferencee 2019, DOI: 10.1109/BigData47090.2019.9006345

Stein Variational Gradient Descent With Matrix-Valued Kernels

Dilin Wang, Ziyang Tang, Chandrajit Bajaj, Qiang Liu

Proc. of 33rd Neural Information processing, NeurIPS 2019, Accepted for publication.

Primal-Dual Mesh Optimization with Mathematical Foundations

S. Mitchell, P. Knupp, A. Abdelkader, M. Awad, C. Bajaj, M. Deakin, M. Ebeida, D. Engwirda, A. Mahmoud, D. Manocha, D. McKay, S. Mousley, J. Owens, C. Park, A. Patney, A. Rushdi, L. Swiler, L. Wei

Sandia National Lab(SNL-NM) Albuquerque, NM

SketchyCoreSVD: SketchySVD from Random Subsampling of the Data Matrix

Chandrajit Bajaj, Yi Wang, Tianming Wang

http://arxiv.org/abs/1907.13634, Proc. of IEEE Big Data Conference, Los Angeles, CA, 2019, DOI: 10.1109/BigData47090.2019.9006345

Sampling Conditions for Conforming Voronoi Meshing by the VoroCrust Algorithm

A. Abdelkader, C. L. Bajaj, M. S. Ebeida, A. H. Mahomoud, S. A. Mitchell, A. A. Rushdi, J. D. Owens

LIPIcs: Leibniz International Proceedings in Informatics, Volume 99, ArXiv:1803.06078, Symposium on Computational Geometry (SOCG 2018), Budapest, Hungary, June 2018

Uncertainty Quantified Computational Analysis of the Energetics of Viral Capsid Assembly

N. Clement, M. Rasheed and C. Bajaj

Journal of Computational Biology, Volume 25, Issue 1, 25(1): 51-71

Functional Data Approximation on Bounded Domains using Polygonal Finite Elements

J. Cao, Y. Xiao, Z. Chen, W. Wang, C. Bajaj

Computer Aided Geometric Design, Volume 63, Pages 149-163, 2018

SMAC: Simultaneous Mapping and Clustering Using Spectral Decompositions

C. Bajaj, T. Gao, Q. Huang, Z. He, Z. Liang

International Conference on Machine Learning 2018, Stockholm, Sweden, July 2018 (ICML 2018)

Dynamic Filtering with Large Sampling Field for ConvNets

J. Wu, D. Li, Y. Yang, C. Bajaj , X. Ji

Ferrari V., Hebert M., Sminchisescu C., Weiss Y. (eds) Computer Vision – ECCV 2018. Lecture Notes in Computer Science, vol 11214. Springer, https://doi//.org/10.1007/978-3-030-01249-612

A Mathematical Primer for Computational Data Sciences (frequently updated)

C. Bajaj

VoroCrust Illustrated: Theory and Challenges

A. Abdelkader, C. Bajaj, M. Ebeida, A. Mahmoud, S. Mitchell, J. Owens, A. Rushdi

Shape based image reconstruction using linearized deformations.

O. Oktem, C. Chen, N. O. Domanic, P. Ravikumar, C. Bajaj

Inverse Problems, Volume 33, No 3 (Mar 2017), pp.1-33

Geometric Detection Algorithms for Cavities on Protein Surfaces in Molecular Graphics: A Survey

T. Simões, D. Lopes, S. Dias, F. Fernandes, J. Pereira, J. Jorge, C. Bajaj, and A. Gomes

Computer Graphics Forum, Volume 36, Issue 8, pp. 643-683

Statistical Framework for Uncertainty Quantification in Computational Molecular Modeling

M. Rasheed, N. Clement, A. Bhowmick, C. Bajaj

IEEE/ACM Transactions on Computational Biology and Bioinformatics, Volume 15, Issue 4 pgs 146-155 DOI: 10.1109/TCBB.2017.2771240

A Seed Placement Strategy for Conforming Voronoi Meshing

A. Abdelkader, C. Bajaj, M. Ebeida, S. Mitchell

Canadian Conference on Computational Geometry (CCCG) 2017, Ottawa, Ontario, Canada, July 2017

Translation Synchronization via Truncated Least Squares

X. Huang, Z. Liang, C. Bajaj, Q. Huang

Advances in Neural Information Processing Systems 30 (NIPS 2017), Long Beach, California, December 2017

Efficient Clustering-based Noise Covariance Estimation for Maximum Noise Fraction

S. Gupta, C. Bajaj

National Conference on Computer Vision, Pattern Recognition, Image Processing and Graphics (NCVPRIPG), Mandi, India, December 2017 DOI: 10.1007/978-981-13-0020-2_21

Splines and Geometric Modeling

C. Bajaj

Handbook of Discrete and Computational Geometry, 3rd Edition J.E. Goodman and J. O'Rourke, editors, CRC Press LLC, Boca Raton, FL, 1997. pp. 1479-1502

X-ray, Cryo-EM, and computationally predicted protein structures used in integrative modeling of HIV Env glycoprotein gp120 in complex with CD4 and 17b

M. Rasheed, R. Bettadapura, C. Bajaj

Data in Brief, Volume 6 (March 2016), pp. 833-839

Construction of Scalar and Vector Finite Element Families on Polygonal and Polyhedral Meshes

A. Gillette, A. Rand, C. Bajaj

J. Comput. Methods Appl. Math., DOI: 10.1515/cmam-2016-0019

Disk Density Tuning of a Maximal Random Packing

M. Ebeida, A. Rushdi, M. Awad, A. Mahmoud, D-M. Yan, S. English, J. Owens, C. Bajaj, S. Mitchell

Eurographics Symposium on Geometry Processing 2016, Computer Graphics Forum

All-Hex Meshing of Multiple-Region Domains without Cleanup

M. Awad, A. Rushdi, M. Awad, M. A. Abas, S. Mitchell, A. Mahmoud, C. Bajaj, M. Ebeida

(25 th IMR), Procedia Engineering, Volume 163, 2016, pp. 251-261

Higher Order Mutual Information Approximation for Feature Selection

J. Wu, S. Gupta, C. Bajaj

arXiv:1612.00554

Statistical Framework for Uncertainty Quantification in Computational Molecular Modeling

M. Rasheed, N. Clement, A. Bhowmick, C. Bajaj

Proc. Of the 7th ACM Conference on Bioinformatics, Computational Biology and Health Informatics, Seattle, WA, Oct . 2016 (ACM-BCB 2016)

Predicting and explaining identity risk, exposure and cost using the ecosystem of identity attributes

R. Zaeem, S. Budalakoti, K. Barber, M. Rasheed, C. Bajaj

IEEE- International Camahan Conference on Security Technology (ICCST)

Human Heart Preservation Analysis using Convective Cooling

A. Abdoli, G. Dulikravich, C. Bajaj, D. Stowe, M. Salik Jahania

International Journal for Numerical Methods in Heat and Fluid Flow, Vol 25, Iss 6, pp. 1426-1443

Approximating the Generalized Voronoi Diagram of Closely Spaced Objects

J. Edwards, E. Daniel, V. Pascucci, C. Bajaj

Eurographics 2015, Guest Editors: O. Sorkine-Hornung and M. Wimmer, Computer Graphics Forum, 2015, 34(2): 299-309. DOI:10.111/cgf.12561 (pdf (opens in a new tab))

Computational Refinement and Validation Protocol for Proteins with Large Variable Regions Applied to Model HIV Env Spike in CD4 and 17b Bound State

M. Rasheed, R. Bettadapura, C. Bajaj

Structure, 2015, 23,(6): pp.1138-1149. (manuscript (opens in a new tab)) and (supplement (opens in a new tab))

PF2fit: Polar Fast Fourier Matched Alignment of Atomistic Structures with 3D Electron Microscopy Maps

R. Bettadapura, M. Rasheed, A. Vollrath, C. Bajaj

PLOS Computational Biology, 2015. (manuscript (opens in a new tab)) DOI 10.1371/journal.pcbi.1004289 (opens in a new tab)

Quality Partitioned Meshing of Multi-material Objects

Q. Zhang , D. Cha, C. Bajaj

Proc. Of 24th Intl. Meshing Roundtable (2015); Procedia Engineering (2015) Vol 124: pp. 187-199 (local pdf (opens in a new tab))

Robust All Quad Meshing of Domains With Connected Regions

A. Rushdi, S. Mitchell, C. Bajaj, M. Sbeida

Proc. Of 24th Intl. Meshing Roundtable, (2015); Procedia Engineering (2015) Vol 124: pp. 96-108, doi: 10.1016/j.proeng.2015.10.125, (local pdf (opens in a new tab))

Highly Symmetric and Congruently Tiled Meshes for Shells and Domes

M. Rasheed, C. Bajaj

Proc. Of 24th Intl. Meshing Roundtable, (2015); Procedia Engineering, Volume 124 (2015), pp. 213-225 (local pdf (opens in a new tab))

Computational reconstitution of spine calcium transients from individual proteins

T. Bartol, D. Keller, J. Kinney, C. Bajaj, K. Harris, T. Sejnowski, M. Kennedy

Frontiers in Synaptic Neuroscience, Volume 7, Issue 17 (Oct 2015), pp. 1-24

On the construction of general cubature formula by flat extensions

M.Bucero, C. Bajaj and B. Mourrain

Linear Algebra and its Applications, Special Issue, August 1, 2016, Vol 502, pp. 104-125(arXiv version (opens in a new tab))

Characterization and Construction of a Family of Highly Symmetric Spherical Polyhedra with Application in Modeling Self-Assembling Structures

M. Rasheed, C. Bajaj

arXiv:1507.08374

Quantifying and Visualizing Uncertainties in Molecular Models

M. Rasheed, N. Clement, A. Bhowmick, C. Bajaj

arXiv:1508.03882

Accelerated Molecular Mechanical and Solvation Energetics on Multicore CPUs and Many-Core GPUs

D. Cha, J. Jahan, Q. Zhang, A. Rand, R. Chowdhury, C. Bajaj

In Proceedings of the 6th ACM Conference on Bioinformatics, Computational Biology and Health Informatics (BCB '15). ACM, New York, NY, USA, 222-231.

VolRoverN: Enhancing surface and volumetric reconstruction for realistic dynamical simulation of cellular and subcellular function

J. Edwards, E. Daniel, J. Kinney, T. Bartol, T. Sejnowski, D. Johnston, K. Harris, and C. Bajaj

Neuroinformatics, 12(2): 277-289 (2014) doi:10.1007/s12021-013-9205-2 (opens in a new tab)

Quadratic Serendipity Finite Elements on Polygons using Generalized Barycentric Coordinates

A. Rand; A. Gillette; C. Bajaj

Mathematics for Computation,83, 2691-2716, (2014). online version (opens in a new tab), 2014

Electron tomography of cryo-immobilized plant tissue: a novel approach to studying 3D macromolecular architecture of mature plant cell walls in situ

P. Sarkar, E. Bosneaga, E. Yap Jr., J. Das, W. Tsai, A. Cabal, E. Neuhaus, D. Maji, S. Kumar, M. Joo, S. Yakovlev, R. Csencsits, Z. Yu, C. Bajaj, K. Downing, M. Auer

PLOS ONE (opens in a new tab), 2014. DOI: 10.1371/journal.pone.0106928 ( paper (opens in a new tab) and supplement (opens in a new tab))

Human Heart Conjugate Cooling Process: Unsteady Thermo-Fluid-Stress Analysis

A. Abdoli, G. Dulikravich, C. Bajaj, D. Stowe, M. Jahania

International Journal for Numerical Methods in Biomedical Engineering ( epub ahead of print (opens in a new tab)), doi: 10.1002/cnm.2662 ( pdf (opens in a new tab))

Efficient Maintenance and Update of Non-bonded Lists in Macromolecular Simulations

R. Chowdhury, D. Beglov, M. Moghaddasi, I. Paschalidis, P. Vakili, S. Vajda, C. Bajaj, D. Kozakov

J. Chem. Theory Comput. 2014, 10 (10), pp 4449-4454 (Online access here (opens in a new tab)) pre-print (opens in a new tab) and supplement (opens in a new tab) DOI:10.1021/ct400474w

On Low Discrepancy Samplings in Product Spaces of Motion Groups

C. Bajaj, A. Bhowmick, E. Chattopadhyay, D. Zuckerman

arXiv:1411.7753v1

Construction of Scalar and Vector Finite Element Families on Polygonal and Polyhedral Meshes

A. Gillette, A. Rand, C. Bajaj

arXiv:1405.6978

Multi-scale Bio-Modeling and Visualization

C. Bajaj

From Voxel Maps to Models

C. Bajaj

Imaging Life: Biological Systems from Atoms to Tissues ed. by G. Howard, W. Brown, and M. Auer Oxford University Press, chap 15, pg 397-429. ( pdf (opens in a new tab))

Nonuniform Fourier Transforms for Rigid-Body and Multi-Dimensional Rotational Correlations

C. Bajaj, B. Bauer, R.K. Bettadapura, A. Vollrath

SIAM Journal of Scientific Computing, vol 35 (4), B821-B845, 2013 doi:10.1137/120892386 (opens in a new tab)

On a Nanoscopically-Informed Shell Theory of Single-Wall Carbon Nanotubes

C. Bajaj, A. Favata and P. P. Guidugli

European Journal of Mechanics - A/Solids, 42, 137-157, 2013

High-resolution cryo-EM structure of the unique Trypanosoma brucei 80S ribosome

Y. Hashem , A. Georges , J. Fu , S. Buss , F. Jossinet , A. Jobe , Q. Zhang , H. Liao , R. Grassucci , C. Bajaj , E. Westhof , S. Madison-Antenucci, J. Frank

Nature, 494, 385-391, 2013, doi:10.1038/nature11872 (opens in a new tab),

Extracellular sheets and tunnels modulate glutamate diffusion in hippocampal neuropil

J. Kinney, J. Spacek, T. Bartol, C. Bajaj, K. Harris, T. Sejnowski

Journal of Comparative Neurology, 521(2):448-464, 2013, PMID: 22740128, doi: 10.1002/cne.23181 (opens in a new tab),

Protein-Protein Docking with F2Dock 2.0 and GB-Rerank

R. Chowdhury, M. Rasheed, D. Keidel, M. Moussalem, A. Olson, C. Bajaj

PLoS ONE 8(3): e51307, 2013, doi:10.1371/journal.pone.0051307 (opens in a new tab)

3D anisotropic diffusion on GPUs by closed-form local tensor computations

A. Kuijper, A. Schwarzkopf, T. Kalbe, C. Bajaj, S. Roth, M. Goesele

Numerical Mathematics Theory Methods and Applications, 6(1):72–94, 2013 ( pdf (opens in a new tab))

Surface segmentation for improved remeshing

J. Edwards, W. Wang, and C. Bajaj

Proceedings of 21st International Meshing Roundtable, Springer, 2013, 4013-418

Molecular Modeling: A Computational Science Perspective

C. Bajaj

Ch. 5: High-resolution Cryo-EM Structure of the Trypanosoma brucei Ribosome: A Case Study

Amedee des Georges, Yaser Hashem, Sarah N. Buss, Fabrice Jossinet, Qin Zhang, Hstau Y. Liao, Jie Fu, Amy Jobe, Robert A. Grassucci, Robert Langlois, Chandrajit Bajaj, Eric Westhof, Susan Madison

Computational Methods for Three-Dimensional Microscopy Reconstruction; Part of the series Applied and Numerical Harmonic Analysis doi:10.1007/978-1-4614-9521-5_5 (opens in a new tab)

Interpolation error estimates for mean value coordinates

A. Rand, A. Gillette, and C. Bajaj

Advanced in Computational Mathematics, 327-347, arXiv:1111.5588 (opens in a new tab), October, 2012, doi:10.1007/s10444-011-9218-z.

Shape-based Regularization of Electron Tomographic Reconstruction

A. Gopinath, G. Xu, D. Ress, O. Oktem, S. Subramaniam, and C. Bajaj

IEEE Transactions on Medical Imaging, December, 2012, NIHMSID# 417205, 31(13):2241-2252, doi: 10.1109/TMI.2012.2214229.

Detection of Secondary and Supersecondary Structures of Proteins for Cryo-Electron Microscopy

C. Bajaj, S. Goswami, and Q. Zhang

Journal of Structural Biology, Volume 177, Issue 2, February 2012, Pages 367-381,NIHMSID# 345060, PMC3312805, Publ.ID: YJSBI6135, doi:10.1016/j.jsb.2011.11.032 (opens in a new tab)

Error Estimates for Generalized Barycentric Interpolation

A. Gillette, A. Rand, C. Bajaj

Advances in Computational Mathematics, Volume 37, issue 3, 2012, page 417-439, NIHMSID #283685, PMC3549276, doi:10.1007/s10444-011-9218-z

Macromolecular Structure Modeling from 3DEM using VOLROVER 2.0

Q. Zhang, R. Bettadapura and C. Bajaj

Biopolymers, September, 97(9):709-731, 2012, NIHMSID# 365963, PMCID: PMC3511818, doi:10.1002/bip.22052 (opens in a new tab).

Interpolation Error Estimates for Mean Value Coordinates over Convex Polygons

A. Rand, A. Gillette, C. Bajaj

arXiv:1111.5588

Quadratic Serendipity Finite Elements on Polygons Using Generalized Barycentric Coordinates

A. Rand, A. Gillette, C. Bajaj

arXiv:1109.3259

Variable Radii Poisson-Disk Sampling

S. A. Mitchell, A. Rand, M. S. Ebeida, C. Bajaj

Proceedings of the 24th Canadian Conference on Computational Geometry 2012, Charlottetown, Prince Edward Island, Canada, August, 2012.

An Algebraic Spline Model of Molecular Surfaces for Energetic Computations

W. Zhao, G. Xu, C. Bajaj

IEEE/ACM Transactions on Computational Biology and Bioinformatics, 8(6): 1458-1467, 2011 http://dx.doi.org/10.1145/1236246.1236288 (opens in a new tab),NIHMSID153456,http://tinyurl.com/clzwrs6 (opens in a new tab),PMCID: PMC3153597.

F2Dock: Fast Fourier Protein-Protein Docking

C. Bajaj, R. Chowdhury, V. Siddahanavalli

IEEE/ACM Transactions on Computational Biology and Bioinformatics, 8(1):45-58 2011, NIHMSID153460, PMC3058388, http://tinyurl.com/NIHMSID153460 (opens in a new tab), doi: 10.1109/TCBB.2009.57.

Computational Inversion of Electron Tomography Images Using L2-Gradient Flows

G. Xu, M. Li, A. Gopinath, C. Bajaj

Journal of Computational Mathematics, V29(5):501-525, 2011, doi: 10.4208/jcm.1106-m3302 (opens in a new tab),NIHMSID# 266229, PMC Journal in Process.

Regularization of B-Spline Objects

G. Xu, C. Bajaj

Computer Aided Geometric Design, 258(1) 38-49, 2011, doi:10.1016/j.cagd.2010.09.008 (opens in a new tab), PMID: 21218183 (opens in a new tab).

A Dynamic Data Structure for Flexible Molecular Maintenance and Informatics

C. Bajaj, R. Chowdhury, M. Rasheed

Bioinformatics (2011) 27 (1): 55-62. PMCID: PMC3008647, doi: 10.1093/bioinformatics/btq627 (opens in a new tab)

An Efficient Higher-Order Fast Multipole Boundary Element Solution for Poisson-Boltzmann Based molecular Electrostatics

C. Bajaj, S.-C. Chen, and A. Rand

SIAM Journal on Scientific Computing, 33(2) 826-848, 2011, NIHMSID# 266230, doi:10.1137/090764645 (opens in a new tab), PMCID: PMC3110014 (opens in a new tab).

Surface-Based Analysis Methods for High-Resolution Functional Magnetic Resonance Imaging

R. Khan, Q. Zhang, S. Darayan, S. Dhandapani, S. Katyal, C. Greene, C. Bajaj, D. Ress

Graphical Models, 73(6):313-322, 2011, NIHMSID# 268212, PMCID: PMC19036544, doi:10.1016/j.gmod.2010.11.002 (opens in a new tab), PMID: 22125419 (opens in a new tab).

Fast Streaming 3D Level Set Segmentation on the GPU for Smooth Multi-phase Segmentation

O. Sharma, Q. Zhang, F. Anton, C. Bajaj

Transactions on Computational Sciences XIII, Lecture Notes on Computer Science, 6750:72-91, 2011, NIHMSID# 282368, PMC Journal in Process,doi:10.1007/978-3-642-22619-9_4 (opens in a new tab)

Dual Formulations of Mixed Finite Element Methods with Applications

A. Gillette and C. Bajaj

Computer-Aided Design, Special Issue for SPM 2010, 43(10): 1213-1221, 2011 doi:10.1016/j.cad.2011.06.017 (opens in a new tab), PMCID: PMC3185384 (opens in a new tab).

Single-Particle Reconstruction Using L2-Gradient Flow

M. Li, G. Xu, C. Sorzano, F. Sun, and C. Bajaj

Journal of Structural Biology (2011) 176 (3): 259-267, NIHMSID 318967, PMCID: PMC3215675, doi:10.1016/j.jsb.2011.08.005 (opens in a new tab), PMID: 21864687 (opens in a new tab).

Topologically correct reconstruction of tortuous contour forests

J. Edwards and C. Bajaj

Computer-Aided Design, 43(10): 1296-1306, 2011, NIHMSID 319941, doi:10.1016/j.cad.2011.06.019 (opens in a new tab), PMID: 22003256 (opens in a new tab), PMC Journal in Process.

On a Nanoscopically-Informed Shell Theory of Single-Wall Carbon Nanotubes

C. Bajaj, A. Favata, P. Podio-Guidugli

arXiv:1111.4574

Dual Formulations of Mixed Finite Element Methods with Applications

A. Gillette, C. Bajaj

arXiv:1012.3929

Error Estimates for Generalized Barycentric Interpolation

A. Gillette, A. Rand, C. Bajaj

arXiv:1010.5005

Volumetric Nonlinear Anisotropic Diffusion on GPUs

A. Schwarzkopf, T. Kalbe, A. Kuijper, M. Goesele, C. Bajaj

Proceedings of the Third International Conference on Scale Space Methods and Variational Methods in Computer Vision, vol. 6667, 2011

Fast Molecular Solvation Energetics and Force Computation

C. Bajaj, W. Zhao

SIAM Journal on Scientific Computing, 31(6): 4524-4552, January 2010, doi:10.1137/090746173 (opens in a new tab), PMCID: PMC2830669 (opens in a new tab).

Cryo-Electron Microscopy Data Denoising Based on the Generalized Digitized Total Variation Method

Q. Zhang, C. Bajaj

Far East Journal of Applied Mathematics, 45(2): 83-99, 2010, NIHMSID# 187605, doi:10.1002/bip.22052 (opens in a new tab), PMCID: PMC3106423 (opens in a new tab).

Surface-Based Imaging Methods for High-Resolution Functional Magnetic Resonance Imaging

D. Ress, S. Dhandapani, S. Katyal, and C. Greene, C. Bajaj

Proceedings of Second Intl. Symposium, CompIMAGE 2010: Computational Modeling of Objects Represented in Images, ed. by R. Barneva, V. Brimkov, H. Hauptman, R. Jorge, J. Tavares. LNCS 6026, Springer Verlag, 2010, p 130-140, NIHMSID# 187599.

Multi-Domain, Higher Order Level Set Scheme for 3D Image Segmentation on the GPU

O. Sharma, Q. Zhang, F. Anton, C. Bajaj

Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR), 2010, NIHMSID# 192191, PMC Journal in Process

Topologically correct reconstruction of tortuous contour forests

J. Edwards and C. Bajaj

Proceedings of the ACM Symposium on Solid and Physical Modeling, p.51-60, September 2010

A Generalization for Stable Mixed Finite Elements

A. Gillette and C. Bajaj

Proceedings of the ACM Symposium on Solid and Physical Modeling, p. 41-50, Sept. 2010

Constructing A-Spline Weight Functions for Stable WEB-Spline Finite Element Methods

C. Bajaj, R. Bettadapura, N. Lei, A. Mollere, C. Peng, A. Rand

Proceedings of the ACM Symposium on Solid and Physical Modeling, p. 153-158, Sept. 2010

Multi-level Grid Algorithms for Faster Molecular Energetics

C. Bajaj and R. Chowdhury

Proceedings of the ACM Symposium on Solid and Physical Modeling, p. 147-152, Sept. 2010

Quality Multi-Domain Meshing for Volumetric Data

Q. Zhang, B. Subramanian, G. Xu, C. Bajaj

Proceedings of 2010 3rd International Conference on Biomedical Engineering and Informatics, p. 472-476, PMCID: PMC3085488, http://tinyurl.com/PMC3085488 (opens in a new tab)

Electric-Potential Reconstructions of Single Particles Using L2-Gradient Flows

M. Li, G. Xu, C. Sorzano, R. Melero, and C. Bajaj

Proceedings of 2010 3rd International Conference on Biomedical Engineering and Informatics, p. 213-217, PMCID# PMC3091820, http://tinyurl.com/PMC3091820 (opens in a new tab)

A Fast Variational Method for the Construction of Adaptive Resolution C^2 Smooth Molecular Surfaces

C. Bajaj, G. Xu, Q. Zhang

Computer Methods in Applied Mechanics and Engineering, volume 198, p1684-1690 (2009) Special Issue in Honor of Professor J. T. Oden’s 70th Birthday, doi: 10.1016/j.cma.2008.12.042 (opens in a new tab), PMCID: PMC2755577 (opens in a new tab).

An Automatic 3D Mesh Generation Method for Domains with Multiple Materials.

Y. Zhang, T. J.R. Hughes, C. Bajaj

Computer Methods in Applied Mechanics and Engineering (CMAME), 199(5-8): 405-415, Jan 2009, NIHMSID: 132380, Publ.ID: CMA8983, doi:10.1016/j.cma.2009.06.007 (opens in a new tab), PMCID: PMC2805160 (opens in a new tab).

The Capsid Proteins of a Large, Icosahedral dsDNA Virus

X. Yan, Z. Yu, P. Zhang, A. Batistti, P. Chipman, C.Bajaj, M. Bergoin, M. Rossman and T. Baker

Journal of Molecular Biology, 385(4):1287-1299, 2009, doi: 10.1016/j.jmb.2008.11.002 (opens in a new tab), PMID: 19027752 (opens in a new tab), PMC2911444.

Scalable Isosurface Visualization of Massive Datasets on Commodity off-the-shelf Clusters

X. Zhang, C. Bajaj

Journal of Parallel and Distributed Computing, 69(1):39-53, 2009, doi: 10.1016/j.jpdc.2008.07.006 (opens in a new tab), PMCID: PMC2743442 (opens in a new tab).

Complementary Space for Enhanced Uncertainty and Dynamics Visualization

C.Bajaj, A. Gillette, S. Goswami, B. J. Kwon, J. Rivera

arXiv:0910.4084

Stable Mesh Decimation

C. Bajaj, A. Gillette, Q. Zhang

arXiv:0910.1402

Stable Mesh Decimation

C. Bajaj, A. Gillette, Q. Zhang

Proceedings of the 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling, San Francisco, CA, 2009.

Hierarchical Molecular Interfaces and Solvation Electrostatics

C. Bajaj, A. Chen, G. Xu, Q. Zhang, W. Zhao

Proceedings of the 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling, San Francisco, CA, 2009, NIHMSID193754, PMC Journal in Process

A Dynamic Data Structure for Flexible Molecular Maintenance and Informatics

C. Bajaj, R. Chowdhury, M. Rasheed

Proceedings of the 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling, San Francisco, CA, 2009, NIHMSID193756, PMC Journal in Process

Topology Based Selection and Curation of Level Sets

C. Bajaj, A. Gillette, S. Goswami

Topology-in-Visualization, ed. by A. Wiebel, H. Hege, K. Polthier, G. Scheuermann, 2009, pages 45-58, NIHMS155079, PMC Journal

Complementary Space for Enhanced Uncertainty and Dynamics Visualization

C. Bajaj, A. Gillette, S. Goswami, B. Kwon, and J. Rivera

Topological Data Analysis and Visualization: Theory, Algorithms and Applications, ed. by Pascucci, Tricoche, Hagen, Tierny, Springer-Verlag, in publication, 2009, NIHMSID194093, PMC Journal in Process

Bio-Molecule Surfaces Construction Via a Higher-Order Level Set Method

C. Bajaj, G. Xu, Q.Zhang

Journal of Computer Science and Technology. 23(6):1026-1036, 2008, doi:10.1007/s11390-008-9184-1 (opens in a new tab), PMCID: PMC2873780 (opens in a new tab).

Surface Smoothing and Quality Improvement of Quadrilateral/Hexahedral Meshes using Geometric Flow

Y. Zhang, C. Bajaj, G. Xu

Comm. in Numerical Methods in Engineering, Vol. 25(1), 1-18, 2009. doi:10.1002.cnm.1067 (opens in a new tab), PMCID: PMC2761001 (opens in a new tab).

Boolean Set Operations with Prism Algebraic Patches

C. Bajaj, A. Paoluzzi, S. Portuesi, N. Lei and W. Zhao

Computer-Aided Design and Applications, 5(5):730-742, 2008, doi: 10.3722/cadaps.2008.730-742 (opens in a new tab), PMCID: PMC3080140 (opens in a new tab).

Proto-Plasm: Parallel Language for Adaptive and Scalable Modeling of Biosystems

C. Bajaj , A. DiCarlo and A. Paoluzzi

Philosophical Transactions of the Royal Society A, 2008 Sep 13;366(1878):3045-65, doi:10.1098/rsta.2008.0076 (opens in a new tab), PMID: 18559320 (opens in a new tab).

Three-Dimensional Geometric Modeling of Membrane-bound Organelles in Ventricular Myocytes: Bridging the Gap between Microscopic Imaging and Mathematical Simulation

Z. Yu, C. Bajaj, M. Hoshijima, M. Holst, T. Hayashi, M. Ellisman, J. McCammon

Journal of Structural Biology, 164(3):304-13, 2008, doi:10.1016/j.jsb.2008.09.004 (opens in a new tab), PMCID: PMC2790379 (opens in a new tab).

Three-Dimensional Architecture of Hair-Bundle Linkages Revealed by Electron-Microscopic Tomography

M. Auer, A. Koster, U. Ziese, C. Bajaj, N. Volkmann, D-N. Wang, J. Hudspeth

Journal of the Association for Research in Otolaryngology, June 2008, 9(2):215-24, doi:10.1007/s10162-008-0114-2 (opens in a new tab), PMCID: PMC2504599 (opens in a new tab).

Surface Reconstruction From Non-parallel Curve Networks

C. Bajaj, L. Liu, J.O. Deasy, D.A. Low, T. Ju

Computer Graphics Forum, 2008, 27(2):155-163, doi: 10.1111/j.1467-8659.2008.01112.x (opens in a new tab), PMCID: PMC273379 (opens in a new tab).

Higher-Order Level-Set Method and Its Application in Biomolecular Surfaces Construction

C. L. Bajaj, G.-L. Xu, Q. Zhang

Journal of Computer Science and Technology, 23(6):1026-1036, 2008

Physically-based Surface Texture Synthesis Using a Coupled Finite Element System

C. Bajaj, J. Zhang, G. Xu

Proceedings of Geometric Modeling and Processing, 2008, p. 344-357, NIHMSID193751, PMCID: PMC3103232, http://tinyurl.com/PMC3103232 (opens in a new tab)

Multi-Component Heart Reconstruction from Volumetric Imaging

C.Bajaj, S. Goswami

Proceedings of the ACM Solid and Physical Modeling Symposium, Stony Brook, NY, 2008, pp. 193-202. http://doi.acm.org/10.1145/1364901.1364928 (opens in a new tab), NIHMSID 193748, PMC Journal in Process

Quality Meshing of a Forest of Branching Structures

C. Bajaj and A. Gillette

Proceedings of the 17th International Meshing Roundtable 2008, p. 433--449, October 2008. NIHMSID 193746, PMC Journal in Process

Modeling Cardiovascular Anatomy from Patient-Specific Imaging

C. Bajaj, S. Goswami

Advances in Computational Vision and Medical Image Processing, ed. by Joao Tavares and Renato Jorge, Springer, 2008, Chapter 1, pgs 1-28, NIHMS155076, http://tinyurl.com/PMC2943643 (opens in a new tab) PMC Journal in Process

Feature Selection of 3D Volume Data through Multi-Dimensional Transfer Functions

S. Park, C. Bajaj

Pattern Recognition Letters, 28, 3, pp. 367-374, 2007, doi: 10.1016/j.patrec.2006.04.008 (opens in a new tab), PMCID: PMC2743423 (opens in a new tab).

Finite element analysis of the time-dependent Smoluchowski equation for acetylcholinesterase reaction rate calculations

Y. Cheng, J. Suen, D. Zhang, S. Bond, Y. Zhang, Y. Song, N. Baker, C. Bajaj, M. Holst, J. McCammon

Biophysical Journal, 92: 3397-3406, 2007, doi:10.1529/biophysj.106.102533 (opens in a new tab), PMCID: PMC1853150 (opens in a new tab).

Computational Approaches for Automatic Structural Analysis of Large Bio-molecular Complexes

Z. Yu, C. Bajaj

IEEE/ACM Transactions on Computational Biology and Bioinformatics, 5(4):568-582, 2008, doi:10.1109/TCBB.2007.70226 (opens in a new tab), PMID: 18989044 (opens in a new tab), PMC Journal in Process.

Patient-Specific Vascular NURBS Modeling for Isogeometric Analysis of Blood Flow

Y. Zhang, Y. Bazilives, S. Goswami, T. Hughes, C. Bajaj

Computer Methods in Applied Mechanics and Engineering (CMAME), 196 (29-30) 2943-2959. 2007, doi:10.1016/j.cma.2007.02.009 (opens in a new tab), NIHMSID 87598, PMCID: PMC2839408 (opens in a new tab).

Dynamic Data-Driven Finite Element Models for Laser Treatment of Cancer

J. Oden, K. Diller, C.Bajaj, J. Browne, J. Hazle, I. Babuska, J. Bass, L. Demkowicz, A. Elliott, Y. Feng, D. Fuentes, S. Prudhomme, M. Rylander, R. Stafford, Y. Zhang

Journal of Numerical Methods for Partial Differential Equations, 23 (4) 901-922, 2007, doi: 10.1002/num.20251 (opens in a new tab), PMCID: PMC2850081 (opens in a new tab).

Using Cyber-infrastructure for Dynamic Data Driven Laser Treatment of Cancer

C. Bajaj, J. T. Oden, K. R. Diller, J. C. Browne, J. Hazle, I. Babuska, J. Bass, L. Bidaut, L. Demkowicz, A. Elliott, Y. Feng, D. Fuentes, S. Prudhomme, R. J. Stafford, Y. Zhang.

Lecture Notes in Computer Science, 2007, 4487: 972-979, doi: 10.1007/978-3-540-72584-8_128 (opens in a new tab), PMCID: PMC2743440 (opens in a new tab).

Smooth Surface Constructions via a Higher-Order Level-Set Method

C. Bajaj, G. Xu, Q. Zhang

Computer-Aided Design and Computer Graphics 23(6): 1026-1036

An algebraic spline model of molecular surfaces

W. Zhao, G. Xu, C. Bajaj

Proceedings of the 2007 ACM Symposium on Solid and Physical Modeling, 2007, pp. 297-302, NIHMSID194067, PMC Journal in Process

Extraction, Visualization and Quantification of Protein Pockets

X. Zhang, C. Bajaj

Proc. of the 6th Annual International Conference on Computational Systems Bioinformatics, CSB2007, vol 6, pp. 275 – 286, http://tinyurl.com/PMID17951831PMID, : 17951831

Efficient Delaunay Mesh Generation From Sampled Scalar Functions

S. Goswami, A. Gillette, C. Bajaj

Proceedings of the 16th International Meshing Roundtable, Seattle, WA, October 2007. pages 495 - 511

Bio-Molecule Surfaces Construction Via a Higher-Order Level Set Method

C. Bajaj, G. Xu, Q. Zhang

Proceedings of the 14th CAD/CG International Conference, 2007, Beijing, China, http://tinyurl.com/PMC2873780 (opens in a new tab), PMCID: PMC2873780

Automatic 3D Mesh Generation for a Domain with Multiple Materials

Y. Zhang, T. Hughes, C.Bajaj

Proceedings of the 16th International Meshing Roundtable, October 2007, pages 367-386, NIHMSID194062, PMC Journal in Process

Automatic Structure Interpretation of Single Particle Cryo-Electron Microscopy: From Images To Pseudo-Atomic Models

C. Bajaj

2007 IEEE International Symposium on Biomedical Imaging, from Nano to Macro, Washington, DC, March 2007, PubMed ID: 19424455, PMCID: 2678009, NIHMSID: 87373, http://tinyurl.com/PMC2678009 (opens in a new tab)

Geometric Modeling and Quantitative Visualization of Virus Ultrastructure

C. Bajaj

Modeling Biology: Structures, Behaviors, Evolution, Edited L. da Fontoura Costa and M. Laublichler, MIT Press, 2007, pp. 115-137

Adaptive and Quality Quadrilateral/Hexahedral Meshing from Volumetric Data

Y. Zhang, C. Bajaj

Computer Methods in Applied Mechanics and Engineering, Volume 195, Issues 9-12, 1 February 2006, Pages 942-960, doi:10.1016/j.cma.2005.02.016 (opens in a new tab), PMCID: PMC2740490 (opens in a new tab)

Discrete Surface Modeling Using Partial Differential Equations

G. Xu, Q. Pan, C. Bajaj

Computer Aided Geometric Design, Volume 23/2, pp 125-145, 2006, doi:10.1016/j.cagd.2005.05.004 (opens in a new tab), PMCID: PMC2760856 (opens in a new tab)

Time-Varying Contour Topology

B. Sohn, C. Bajaj

IEEE Transactions on Visualization and Computer Graphics (TVCG), 12, 1, 14-25, 2006, doi: 10.1109/TVCG.2006.16 (opens in a new tab), PMCID: PMC2703823 (opens in a new tab).

Quality Meshing of Implicit Solvation Models of Biomolecular Structures

Y. Zhang, G. Xu, C. Bajaj

The special issue of Computer Aided Geometric Design (CAGD) on Applications of Geometric Modeling in the Life Sciences, Volume 23, Issue 6, August 2006, Pages 510-530, doi: 10.1016/j.cagd.2006.01.008 (opens in a new tab), PMCID: PMC2756697 (opens in a new tab)

Progressive Conversion from B-rep to BSP for Streaming Geometric Modeling

C. Bajaj, A. Paoluzzi, G. Scorzelli

Computer-Aided Design and Applications, 3(5):577-586, 2006, PMCID: PMC3077047 (opens in a new tab).

Application of New Multiresolution Methods for the Comparison of Biomolecular Electrostatic Properties in the Absence of Structural Similarity

X. Zhang, C. Bajaj, B. Kwon, T. Dolinsky, J. Nielsen, N. Baker

Multiscale Modeling and Simulation, 2006, 5 (4), 1196-1213, doi: 10.1137/050647670 (opens in a new tab), PMCID: PMC2561295 (opens in a new tab)

VIPERdb: a relational database for structural virology

C. M. Shepherd, I. A. Borelli, G. Lander, P. Natarajan, V. Siddavanahalli, C. Bajaj, J. E. Johnson, C. L. Brooks, III, V. S. Reddy

Nucleic Acids Res. 2006 Jan 1; 34 (Database Issue), D386-9, 2006, doi:10.1093/nar/gkj032 (opens in a new tab), PMCID: PMC1347395 (opens in a new tab)

Automated Segmentation of Molecular Subunits in Electron Cryomicroscopy Density Maps

M. Baker, Z. Yu, W. Chiu, C. Bajaj

Journal of Structural Biology, 2006, Dec;156(3):432-41, doi: 10.1016/j.jsb.2006.05.013 (opens in a new tab), PMID: 16908194 (opens in a new tab), PMC Journal in Process

Development of a Computational Paradigm for Laser Treatment of Cancer

J. T. Oden, K. R. Diller, C. Bajaj, J. C. Browne, J. Hazle, I. Babuska, J. Bass, L. Demkowicz, Y. Feng, D. Fuentes, S. Prudhomme, M. N. Rylander, R. J. Stafford, Y. Zhang

Lecture Notes in Computer Science, 3993: 530-537, 2006, doi: 10.1007/11758532_70 (opens in a new tab), PMCID: PMC2676779

Immersed finite element method and its applications to biological systems

W. Liu, Y. Liu, D. Farrell, L. Zhang, X. Wang, Y. Fukui, N. Patankar, Y. Zhang, C. Bajaj, J. Lee, J. Hong, X. Chen, H. Hsu

Computer Methods In Applied Mechanics and Engineering (CMAME), 195: 1722-1749, 2006, doi:10.1016/j.cma.2005.05.049 (opens in a new tab), PMCID: PMC2830735 (opens in a new tab)

Identifying Flat and Tubular Regions of a Shape by Unstable Manifolds

S. Goswami, T. Dey, C. Bajaj

Proc. 11th ACM Sympos. Solid and Physical Modeling, pp. 27-37, 2006, NIHMSID194037, PMC Journal in Process

Patient-Specific Vascular NURBS Modeling for Isogeometric Analysis of Blood Flow

Y. Zhang, Y. Bazilevs, S. Goswami, C. Bajaj, T. Hughes

Proceedings of 15th International Meshing Roundtable, pp. 73-92. Birmingham, AL. September 17-20, 2006.

Development of a Computational Paradigm for Laser Treatment of Cancer

J. T. Oden, K. R. Diller, C. Bajaj, J. C. Browne, J. Hazle, I. Babuska, J. Bass, L. Demkowicz, Y. Feng, D. Fuentes, S. Prudhomme, M. N. Rylander, R. J. Stafford, Y. Zhang

International Conference on Computational Science (3): 530-537, 2006, NIHMSID194039, PMC Journal in Process

Patient Specific Heart Models from High Resolution CT

C. Bajaj, S. Goswami, Z. Yu, Y. Zhang, Y. Bazilevs, T. Hughes

CompIMAGE. Coimbra, Portugal. October 20-21, 2006, NIHMSID194017, PMC Journal in Process

Isogeometric Analysis of Blood Flow: a NURBS-based Approach

Y. Bazilevs, Y. Zhang, V. Calo, S. Goswami, C. Bajaj, T. Hughes

Proceedings of 15th International Meshing Roundtable, pp. 73-92, Birmingham, AL. September 17-20, 2006, NIHMSID194040, PMC Journal in Process

Artery-Vein Separation of Human Vasculature from 3D Thoracic CT Angio Scans

S. Park, C. Bajaj, G. Gladish

Proceedings of CompIMAGE 2006, Coimbra, Portugal. October 20-21, 2006, NIHMSID194051, PMC Journal in Process

Secondary and Tertiary Structural Fold Elucidation from 3D EM Maps of Macromolecules

C. Bajaj, S. Goswami

Proceedings of the Fifth Indian Conference on Computer Vision, Graphics & Image Processing, ICVGIP 2006, LNCS 4338, Springer Verlag, 2006, 264 – 275, http://tinyurl.com/PMC2860966 (opens in a new tab), PMCID: PMC2860966

3-D Image Registration Using Fast Fourier Transform, With Potential Applications To Geoinformatics and Bioinformatics

R. Araiza, M. Averill, G. Keller, S. Starks, C. Bajaj

Proceedings of the International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems IPMU06, Paris, France, July 2-7, 2006, pp. 817-824, NIHMSID193945, PMC Journal in Process

Volume subdivision based hexahedral finite element meshing of domains with interior 2-manifold boundaries

C. Bajaj and L. Karlapalem

AFRIGRAPH '06 Proceedings of the 4th international conference on Computer graphics, virtual reality, visualisation and interaction in Africa, 2006

3D Finite Element Meshing from Imaging Data

Y. Zhang, C. Bajaj, B. Sohn

Computer Methods in Applied Mechanics and Engineering (CMAME) on Unstructured Mesh Generation, 194, 48-49, 5083-5106, 2005, doi:10.1016/j.cma.2004.11.026 (opens in a new tab), PMCID: PMC2748876 (opens in a new tab).

A Laguerre Voronoi Based Scheme for Meshing Particle Systems

C. Bajaj

Japan Journal of Industrial and Applied Mathematics, (JJIAM), vol. 22, No. 2, Pages 167-177, June 2005, doi: 10.1007/BF03167436 (opens in a new tab), PMCID: PMC2865151 (opens in a new tab).

Tetrameric Mouse Acetylcholinesterase: Continuum Diffusion Rate Calculations by Solving the Steady-State Smoluchowski Equation Using Finite Element Methods

D. Zhang, J. Suen, Y. Zhang, Y. Song, Z. Radic, P. Taylor, M. Holst, C. Bajaj, N. Baker, J. McCammon

Biophys. J. 88, 1659-1665 (2005), doi: 10.1529/biophysj.104.053850 (opens in a new tab), PMCID: PMC1305222 (opens in a new tab).

Compressed Representations of Macromolecular Structures and Properties

C. Bajaj, J. Castrillon-Candas, V. Siddavanahalli, Z. Xu

Structure, Volume 13, Issue 3, March 2005, Pages 463-471, doi:10.1016/j.str.2005.02.004 (opens in a new tab), PMID15766547 (opens in a new tab), PMC Journal in Process.

Automatic Ultrastructure Segmentation of Reconstructed CryoEM Maps of Icosahedral Viruses

Z.Yu, C. Bajaj

IEEE Transactions on Image Processing: Special Issue on Molecular and Cellular Bioimaging, 2005 Sep; 14(9): 1324-37, doi: 10.1109/TIP.2005.852770 (opens in a new tab), PMCID: PMID16190468 (opens in a new tab), PMC Journal in Process.

Surface Smoothing and Quality Improvement of Quadrilateral/Hexahedral Meshes with Geometric Flow

Y. Zhang, G. Xu, C. Bajaj,

Comm. in Numerical Methods in Engineering, Vol. 24, 2008. doi:10.1002/cnm.1067 (opens in a new tab), PMCID: PMC2761001 (opens in a new tab).

Extending the Photon Mapping Method for Realistic Rendering of Hot Gaseous Fluids

B. Kang, I. Ihm, C. Bajaj

Computer Animation and Virtual Worlds (CASA 2005), 16, 3, 353-363.

An Adaptive Irregularly Spaced Fourier Method for Protein-Protein Docking

J. Castrillon-Candas, C. Bajaj, V. Siddavanahalli

Technical Report TR-05-34, Department of Computer Sciences, The University of Texas at Austin, July 11, 2005.

Geometric and Signal Processing of Reconstructed 3D Maps of Molecular Complexes

C. Bajaj, Z. Yu

Handbook of Computational Molecular Biology, Edited by S. Aluru, Chapman & Hall/CRC Press, Computer and Information Science Series, December 21, 2005, ISBN: 1584884061.

Continuum Diffusion Reaction Rate Calculations of Wild Type and Mutant Mouse Acetylcholinesterase: Adaptive Finite Element Analysis

Y. Song, Y. Zhang, C. Bajaj, N. Baker

Biophysical Journal, 87(3):1558-1566, 2004, doi: 10.1529/biophysj.104.041517 (opens in a new tab), PMCID: PMC1304562 (opens in a new tab).

Finite Element Solution of the Steady-State Smoluchowski Equation for Rate Constant Calculations

Y. Song, Y. Zhang, T. Shen, C. Bajaj, J. McCammon, N. Baker

Biophysical Journal, 86(4):2017-2029, 2004, doi: 10.1529/biophysj.106.102533 (opens in a new tab), PMCID: PMC1304055 (opens in a new tab).

Volumetric Video Compression and Interactive Playback

B. Sohn, C. Bajaj, V. Siddavanahalli

Computer Vision and Image Understanding, special issue on "Model-based and Image-based 3D Scene Representation for Interactive Visualization", 96(3), Pages 435-452, 2004, doi: 10.1016/j.cviu.2004.03.010 (opens in a new tab), PMID: 20072724 (opens in a new tab).

Automatic Particle Selection: Results of a comparative study

Y. Zhu, B. Carragher, R. Glaeser, D. Fellmann, C. Bajaj, M. Bern, F. Mouche, F. Haas, R. Hall, D. Kriegman, S. Ludtke, S. Mallick, P. Penczek, A. Roseman, F. Sigworth, N. Volkmann, C. Potter

Journal of Structural Biology, Volume 145, 2004, Pages 3-14, doi: 10.1016/j.jsb.2003.09.033 (opens in a new tab), PMID15065668 (opens in a new tab), PMC Journal In Process.

Detecting Circular and Rectangular Particles Based on Geometric Feature Detection in Electron Micrographs

Z. Yu, C. Bajaj

Journal of Structural Biology, Volume 145, 2004, Pages 168-180, doi: 10.1016/j.jsb.2003.10.027 (opens in a new tab), PMID15065684 (opens in a new tab), PMC Journal In Process.

SIMD Optimization of Linear Expressions for Programmable Graphics Hardware

C. Bajaj, I. Ihm, J. Min, J. Oh

Computer Graphics Forum, 23, 4(2004), 1-18, doi: 10.1111/j.1467-8659.2004.00803.x (opens in a new tab), PMCID: PMC2782869 (opens in a new tab).

Adaptive Surfaces Fairing by Geometric Diffusion

C. Bajaj, G. Xu

Geometric Modeling: Techniques, Applications, Systems and Tools, 2004, M. Sarfraz(ed), Kluwer Academic Publishers, ISBN: 1-4020-1817-7, Pages 32-49, doi: 10.1109/IV.2001.942137 (opens in a new tab).

Auralization I: Vortex Sound Synthesis

Y. Shin, C. Bajaj

Proceedings of Symposium on Visualization, Joint Eurographics - IEEE TCVG, VisSym 2004, Symposium on Visualization, pp. 193-200, Konstanz, Germany, May 19-21, 2004. Eurographics Association 2004, ISBN 3-905673-07-X.

A Fast and Adaptive Algorithm for Image Contrast Enhancement

Z. Yu, C. Bajaj

Proceedings of 2004 IEEE International Conference on Image Processing (ICIP'04), Volume 2, Oct. 24-27 2004, Pages 1001-1004, Singapore.

A Segmentation-Free Approach for Skeletonization of Gray-Scale Images via Anisotropic Vector Diffusion

Z. Yu, C. Bajaj

Proceedings of 2004 IEEE International Conference on Computer Vision and Pattern Recognition (CVPR'04), Volume 1, Pages 415-420, Washington, DC.

Adaptive and Quality Quadrilateral/Hexahedral Meshing from Volumetric Imaging Data

Y. Zhang, C. Bajaj

In Proceedings of 13th International Meshing Roundtable, pp. 365-376. Willamsburg, VA. September 19-22, 2004.

TexMol: Interactive Visual Exploration of Large Flexible Multi-component Molecular Complexes

C. Bajaj, P. Djeu, V. Siddavanahalli, A. Thane

Proc. of the Annual IEEE Visualization Conference, October 2004, Austin, Texas, IEEE Computer Society Press, pp. 243-250.

Multi-Dimensional Transfer Function Design for Scientific Visualization

S. Park, C. Bajaj

Proceedings of the Fourth Indian Conference on Computer Vision, Graphics & Image Processing, ICVGIP 2004: 290-295.

A Laguerre Voronoi Based Scheme for Meshing Particle Systems

C. Bajaj

Proc. of International Symposium on Voronoi Diagrams in Science and Engineering, VD2004, University of Tokyo, Japan, Sep 2004, pp. 115 -122.

Reconstruction of G1 Surfaces with Biquartic Patches for hp FE Simulations

D. Xue, L. Demkowicz, C. Bajaj

In Proceedings of 13th International Meshing Roundtable, pp. 323-332. Willamsburg, VA. September 19-22, 2004.

Visualization of Icosahedral Virus Structures from Reconstructed Volumetric Maps

Z. Yu, C. Bajaj

Technical Report TR-04-10, Department of Computer Sciences, The University of Texas at Austin, April 9, 2004.

Finite Element Meshing for Cardiac Analysis

Y. Zhang, C. Bajaj

ICES Technical Report 04-26, The University of Texas at Austin, 2004.

Splines and Geometric Modeling

C. Bajaj

Handbook of Discrete and Computational Geometry, (2004), Chap. 53, 1187-1206.

Visualization of Very Large Oceanography Time-Varying Volume Datasets

S. Park, C. Bajaj, I. Ihm

Lecture Notes in Computer Science (LNCS), ed. by M. Bubak et. al., ICCS 2004, Volume 3037, 2004, Pages 419-426, Springer-Verlag Heidelberg.

Contour Trees and Small Seed Sets for Isosurface Generation Topological Data Structures for Surfaces

M. van Kreveld, R. van Oostrum, C. Bajaj, V. Pascucci, D. Schikore

Chap5, pp. 71-86, 2004. ed. by S. Rana, John Wiley & Sons, Ltd, 2004.

Volumetric Feature Extraction and Visualization of Tomographic Molecular Imaging

C. Bajaj, Z. Yu, M. Auer

Journal of Structural Biology, Volume 144, Issues 1-2, Oct. 2003, Pages 132-143, doi:10.1016/j.jsb.2003.09.037 (opens in a new tab), PMID14643216 (opens in a new tab), PMC Journal In Process.

Applications of Bilateral Denoising Filter in Biological Electron Microscopy

W. Jiang, M. Baker, Q. Wu, C. Bajaj, W. Chiu

Journal of Structural Biology, Volume 144, Issues 1-2, October 2003, Pages 114-122, doi: 10.1016/j.jsb.2003.09.028 (opens in a new tab), PMID14643214 (opens in a new tab), PMC Journal In Process.

NURBS Approximation of A-splines and A-patches

C. Bajaj, G. Xu, R. Holt, A. Netravali

International Journal of Computational Geometry and Applications, 13, 5, (2003), 359-389.

Anisotropic Diffusion of Surfaces and Functions on Surfaces

C. Bajaj, G. Xu

ACM Transactions on Graphics, 22, 1, (2003), 4-32, doi: 10.1145/588272.588276 (opens in a new tab)

Dynamic Maintenance and Visualization of Molecular Surfaces

C. Bajaj, V. Pascucci, A. Shamir, R. Holt, A. Netravali

Discrete Applied Mathematics 127 (2003). Pages 23-51, doi: 10.1016/S0166-218X(02)00283-4 (opens in a new tab).

Curvature Computations of 2-manifolds in R^k

G. Xu, C. Bajaj

Journal of Computational Mathematics. vol. 21. no. 5. (2003), 681-688.

Active Visualization in a Multidisplay Immersive Environment

W. Blanke, C. Bajaj

Computers & Graphics, Volume 27, Number 5, October 2003, 681-691, doi: 10.1016/S0097-8493(03)00141-9 (opens in a new tab).

A Comparative Study of the Quantitative Accuracy of Three-Dimensional Reconstructions of Spinal Cord from Serial Histological Sections

B. Duerstock, C. Bajaj, R. Borgens

Journal of Microscopy, 210:2, (2003), 138-148, doi: 10.1046/j.1365-2818.2003.01130.x (opens in a new tab), PMID12753096 (opens in a new tab), PMC Journal In Process.

A clustering-based method for particle detection in electron micrographs

Z. Yu, C. Bajaj

Proceedings of the 5th International Conference on Advances in Pattern Recognition(ICAPR'03), pp. 137-140, Calcutta, India, December 2003.

Adaptive and Quality 3D Meshing from Imaging Data

Y. Zhang, C. Bajaj, B. Sohn

Proceedings of 8th ACM Symposium on Solid Modeling and Applications. Pages 286-291. Seattle, WA. June 16-20, 2003.

Interactive Poster: Interactive Symbolic Visualization of Semi-automatic Theorem Proving

C. Bajaj, S. Khandelwal, J Moore, V. Siddavanahalli

IEEE Symposium on Information Visualization 2003. Seattle, WA.

Time-Varying Contour Topology

B. Sohn, C. Bajaj

Technical Report TR-03-61, Department of Computer Sciences, The University of Texas at Austin, December 12, 2003.

Level-set Based Volumetric Anisotropic Diffusion for 3D Image Denoising

C. Bajaj, Q. Wu, G. Xu

ICES Technical Report 03-10, The University of Texas at Austin, 2003.

A Geometric Feature Detection Approach to Particle Picking in Electron Micrographs

Z. Yu, C. Bajaj

Technical Report TR-03-30, Department of Computer Sciences, The University of Texas at Austin, July 28, 2003.

Discrete Surface Modeling Using Geometric Flows

G. Xu, Q. Pan, C. Bajaj

Technical Report TR-03-36, Department of Computer Sciences, The University of Texas at Austin, August 17, 2003.

Interactive Symbolic Visualization of Semi-automatic Theorem Proving

C. Bajaj, S. Khandelwal, J Moore, V. Siddavanahalli

Technical Report TR-03-37, Department of Computer Sciences, The University of Texas at Austin, August 2003.

Volumetric Filtering, Feature Extraction, and Visualization of Volumetric Tomographic Molecular Imaging

C. Bajaj, Z. Yu, M. Auer

Technical Report TR-03-31, Department of Computer Sciences, The University of Texas at Austin, July 28, 2003.

Hierarchical Multiresolution Reconstruction of Shell Surfaces

C. Bajaj, G. Xu, R. Holt, A. Netravali

Computer Aided Geometric Design, 19:2(2002), 89-112, 2002, doi: 10.1016/S0167-8396(01)00073-5 (opens in a new tab).

C1 Modeling with Hybrid Multiple-sided A-patches

G. Xu, C. Bajaj, S. Evans

Special issue on Surface and Volume Reconstructions in the International Journal of Foundations of Computer Science, 13, 2, (2002), 261-284.

A Subdivision Scheme for Hexahedral Meshes

C. Bajaj, S. Schaefer, J. Warren, G. Xu

The Visual Computer, Vol. 18. Numbers 5-6. Pages 343-356. August 2002, doi: 10.1007/s003710100150 (opens in a new tab).

Acoustics Scattering on Arbitrary Manifold Surfaces

C. Bajaj, G. Xu, J. Warren

Geometric Modeling and Processing, Theory and Application 2002, Japan, Pages 73-82.

Parallel and Out-of-core View-dependent Isocontour Visualization Using Random Data Distribution

X. Zhang, C. Bajaj, V. Ramachandran

Joint Eurographics-IEEE TCVG Symposium on Visualization 2002, Pages 9-18.

Active Visualization in a Multidisplay Immersive Environment

W. Blanke, C. Bajaj

Eighth Eurographics Workshop on Virtual Environments 2002, Pages 103-111.

Normalized Gradient Vector Diffusion and Image Segmentation

Z. Yu, C. Bajaj

Proceedings of the 7th European Conference on Computer Vision (LNCS 2352), vol. 3, pp. 517-530, (Published by Springer Press), Copenhagen, Denmark, May 28-31, 2002.

Image Segmentation Using Gradient Vector Diffusion and Region Merging

Z. Yu, C. Bajaj

Proceedings of the 16th International Conference on Pattern Recognition, vol. 2, pp. 941-944, (Published by IEEE CS-Press), Quebec, Canada, August 11-15, 2002.

Anisotropic Vector Diffusion in Image Smoothing

Z. Yu, C. Bajaj

Proceeding of the 9th IEEE International Conference on Image Processing, vol. 1, pp. 828-831, (Published by IEEE CS Press), Rochester, New York, September 22-25, 2002.

Case Study: Interactive Rendering of Adaptive Mesh Refinement Data

S. Park, C. Bajaj, V. Siddavanahalli

Proceedings of IEEE Visualization, Pages 521-524, 2002, Boston, MA.

Feature Based Volumetric Video Compression for Interactive Playback

B. Sohn, C. Bajaj, V. Siddavanahalli

Proceedings of IEEE/SIGGRAPH Symposium on Volume Visualization and Graphics, Pages 89-96, 2002, Boston, MA, http://tinyurl.com/PMC2805201, PMCID: PMC2805201

Parallel Multi-PC Volume Rendering System

C. Bajaj, S. Park, A. Thane

CS & ICES Technical Report, University of Texas at Austin, 2002.

Progressive Tracking of Isosurfaces in Time-Varying Scalar Fields

C. Bajaj, A. Shamir, B. Sohn

CS & ICES Technical Report, University of Texas at Austin, 2002.

The Transfer Function Bake-off

H. Pfister, B. Lorenson, C. Bajaj, G. Kindlmann, W. Schroeder, L. Avila, K. Raghu, R. Machiraju, J. Lee

IEEE Computer Graphics and Applications, Volume 21: Issue 3. May/June 2001. Pages 16-22, 2001, doi: 10.1109/38.920623 (opens in a new tab).

3D RGB Image Compression for Interactive Applications

C. Bajaj, I. Ihm, S. Park

ACM Transactions on Graphics, 20, 1, (2001), 10-38, 2001, doi: 10.1145/383745.383747 (opens in a new tab).

Regular Algebraic Curve Segments (III) - Applications in Interactive Design and Data Fitting

C. Bajaj, G. Xu

Computer Aided Geometric Design, 18:3(2001), 149-173, 2001, doi: 10.1016/S0167-8396(01)00010-3 (opens in a new tab).

C1 Modeling with A-patches from Rational Trivariate Functions

G. Xu, C. Bajaj, H. Huang

Computer Aided Geometric Design, 18:3(2001), 221-243.

Scalable Isosurface Visualization of Massive Datasets on COTS-Cluster

X. Zhang, C. Bajaj, W. Blanke

Proc. of IEEE 2001 Symposium on Parallel and Large-Data Visualization and Graphics, pp. 51-58, San Diego, CA, 2001.

Anisotropic Diffusion of Noisy Surfaces and Noisy Functions on Surfaces

C. Bajaj, G. Xu

Proc. of Information Visualization 2001, London, UK, 2001.

Visualization-Specific Compression of Large Volume Data

C. Bajaj, I. Ihm, S. Park

Proc. of Pacific Graphics, pp. 212-222, 2001, Tokyo, Japan, Oct 2001.

Adaptive fairing of surface meshes by geometric diffusion

C. Bajaj, G. Xu

Proceedings of Fifth International Conference on Information Visualisation, 2001. 25-27 July 2001. Page(s):731 - 737, doi: 10.1109/IV.2001.942137 (opens in a new tab).

A Cluster Based Emulator for Multidisplay, Multiresolution Parallel Image Compositing

W. Blanke, C. Bajaj, X. Zhang, D. Fussell

CS & TICAM Technical Report, University of Texas at Austin, 2001.

Hardware Accelerated Multipipe Parallel Rendering of Large Data Stream

S. Park, S. Park, C. Bajaj

CS & TICAM Technical Report, University of Texas at Austin, 2001.

Effective Visualization of Very Large Oceanography Time-varying Volume Dataset

S. Park, C. Bajaj, I. Ihm

CS & TICAM Technical Report, University of Texas at Austin, 2001.

Smooth Shell Construction with Mixed Prism Fat Surfaces

C. Bajaj, G. Xu

Brunett, G., Bieri,H., Farin, G. (eds.), Geometric Modeling Computing Supplement, 14, (2001), 19-35.

Parameterization in Finite Precision

C. Bajaj, A. Royappa

Algorithmica, 27, 1, (2000), 100-114, doi: 10.1007/s004530010006 (opens in a new tab).

Regular algebraic curve segments (I)-Definitions and characteristics

G. Xu, C. Bajaj, W. Xue

Computer Aided Geometric Design, 17:6(2000), 485-501, doi: 10.1016/S0167-8396(00)00012-1 (opens in a new tab).

Regular Algebraic Curve Segments (II) - Interpolation and Approximation

G. Xu, C. Bajaj, C. Chu

Computer Aided Geometric Design, 17:6(2000), 503-519, doi: 10.1016/S0167-8396(00)00013-3 (opens in a new tab).

Advances in three-dimensional reconstruction of the experimental spinal cord injury

B. Duerstock, C. Bajaj, V. Pascucci, D. Schikore. K. Lin, R. Borgens

Computerized Medical Imaging and Graphics, Volume 24, Issue 6, November 2000, Pages 389-406, doi: 10.1016/S0895-6111(00)00034-3 (opens in a new tab), PMID: 11008186 (opens in a new tab), PMC Journal in Process.

Compression-Based 3D Texture Mapping for Real-Time Rendering

C. Bajaj, I. Ihm, S. Park

Graphical Models, 62:6, (2000), 391-410, doi: 10.1006/gmod.2000.0532 (opens in a new tab).

Multi-Resolution Dynamic Meshes with Arbitrary Deformations

A. Shamir, V. Pascucci, C. Bajaj

Proc of IEEE Visualization Conference 2000, Salt Lake City, Utah, pp. 423-430.

Time Critical Isosurface Refinement and Smoothing

C. Bajaj, V. Pascucci

Proceedings of the ACM/IEEE Volume Visualization and Graphics Symposium 2000, Salt lake City, Utah, pp. 33- 42.

Compression-Based Ray Casting of Very Large Volume Data in Distributed Environments

C. Bajaj, I. Ihm, S. Park, D. Song

HPC-Asia 2000, Pages 720-725, Beijing, China, May 2000.

Visualization-Specific Compression of Large Volume Data

C. Bajaj, I. Ihm, S. Park

TICAM Technical Report #00-17.

The Metabuffer: A Scalable Multiresolution Multidisplay 3-D Graphics System Using Commodity Rendering Engines

W. Blanke, C, Bajaj, D. Fussell, X, Zhang

Technical Report, University of Texas at Austin.

Single Resolution Compression of Arbitrary Triangular Meshes with Properties

C. Bajaj, V. Pascucci, G. Zhuang

Computational Geometry: Theory and Applications, Volume 14, Issues 1-3, 30 November 1999, Pages 167-186.

A programming approach for complex animations. Part I. Methodology

C. Bajaj, C. Baldazzi, S. Cutchin, A. Paoluzzi, V. Pascucci, M. Vicentino

Computer Aided Design, 31,11, (1999), 695-710.

Automatic Reconstruction of 3D CAD Models from Digital Scans

F. Bernardini, C. Bajaj, J. Chen, D. Schikore

Int. J. on Comp. Geom. and Appl., vol. 9, nos. 4-5, Aug & Oct 1999, pp. 327-369.

Energy Formulations of A-Splines

C. Bajaj, J. Chen, R. Holt, A. Netravali

Computer Aided Geometric Design, 16:1(1999), 39-59.

A-Splines: Local Interpolation and Approximation Using Gk- Continuous Piecewise Real Algebraic Curves

C. Bajaj, G. Xu

Computer Aided Geometric Design, 16:6(1999), 557-578.

Tetrahedral Meshes from Planar Cross Sections

C. Bajaj, E. Coyle, K. Lin

Computer Methods in Applied Mechanics and Engineering, Vol. 179 (1999), pp. 31-52.

Parallel Ray Casting of Visible Human on Distributed Memory Architectures

C. Bajaj, I. Ihm, G Koo, S. Park

In Proceedings of Joint EUROGRAPHICS - IEEE TCVG Symposium on Visualization, May 26-28, 1999, Vienna, Austria. pp. 269-276.

Error Bounded Regular Algebraic Spline Curves

C. Bajaj, G. Xu

In Proceedings of the Fifteenth Annual ACM Symposium on Computational Geometry, June 1999, Miami Beach, FL., pp. 332-340.

Web based Collaborative Visualization of Distributed and Parallel Simulation

C. Bajaj, S. Cutchin

In Proceedings of the 1999 IEEE Symposium on Parallel Visualization and Graphics, October 24-29, 1999, San Francisco, CA, pp. 47-54.

Progressive Compression and Transmission of Arbitrary Triangular Meshes

C. Bajaj, V. Pascucci, G. Zhuang

In Proceedings of the 10th IEEE Visualization 1999 Conference, October 24-29, 1999. San Francisco, CA, pp. 307 - 316.

Parallel Accelerated Isocontouring for Out-of-Core Visualization

C. Bajaj, V. Pascucci, D.Thompson, X. Zhang

In Proceedings of the 1999 IEEE Symposium on Parallel Visualization and Graphics, October 24-29, 1999, San Francisco, CA, pp. 97-104.

Making 3D Textures Practical

C. Bajaj, I. Ihm, S. Park

In Proceedings of Pacific Graphics, October 5-7, 1999, Seoul, Korea, Pages 259-268.

Single Resolution Compression of Arbitrary Triangular Meshes with Properties

C. Bajaj, V. Pascucci, G. Zhuang

Data Compression Conference 1999. Snowbird, Utah. Pages 247-256.

Regular Algebraic Curve Segments (III) - Applications In Interactive Design And Data Fitting

C. Bajaj, G. Xu

TICAM Technical Report #99-34.

Seed Sets and Search Structures for Optimal Isocountour Extraction

C. Bajaj, V. Pascucci, D. Schikore

TICAM Technical Report #99-35.

Progressive IsoContouring

C. Bajaj, V. Pascucci

TICAM Technical Report #99-36.

Three-Dimensional Imaging of the Experimental Spinal Cord Injury

B. Duerstock, C. Bajaj, V. Pascucci, D. Schikore. K. Lin, R. Borgens

TICAM Technical Report #99-37.

Active Contouring of Images with Physical A-Splines

C. Bajaj, V. Pascucci, R. Holt, A. Netravali

TICAM Technical Report #99-03.

C1 Modeling with A-patches from Rational Trivariate Functions

G. Xu, H. Huang, C. Bajaj

TICAM Technical Report #99-04.

Smooth Reconstruction and Deformation of Free-Form Fat Surfaces

C. Bajaj, G. Xu

TICAM Technical Report #99-08.

Multiresolution Molecular Shapes

C. Bajaj, V. Pascucci, A. Shamir, R. Holt, A. Netravali

TICAM Technical Report #99-42.

Rational Parameterizations of Nonsingular Real Cubic Surfaces

C. Bajaj, R. Holt, A. Netravali

ACM Transactions on Graphics, 17, 1, (1998), 1-31

Sliced Configuration Spaces for Curved Planar Bodies

C. Bajaj, E. Sacks

International Journal Of Robotics Research, 17, 6, (1998), 639-651.

Two and Three Dimensional Computer Graphics Evaluation of the Subacute Spinal Cord Injury

L. Moriarty, B. Duerstock, C. Bajaj, K. Lin, R. Borgens

Journal of Neurological Sciences, vol. 155, pp 121-137 (1998), http://tinyurl.com/PMID9562256, PMID: 9562256, PMC Journal in Process).

Topology Preserving Data Simplification with Error Bounds

C. Bajaj, D. Schikore

Journal on Computers and Graphics, vol. 22.1, pp. 3-12, 1998.

Dynamic Maintenance and Visualization of Molecular Surfaces

C. Bajaj, V. Pascucci, R. Holt, A. Netravali

Proceedings of the Tenth Canadian Conference on Computational Geometry, August 1998.

Hypervolume Visualization: A Challenge in Simplicity

C. Bajaj, V. Pascucci, G. Ribbiolo, D. Schikore

Proceeding of the IEEE/ACM 1998 Symposium on Volume Visualization pages 95-102 October 1998, Research Triangle Park, NC.

Visualization of Scalar Topology for Structural Enhancement

C. Bajaj, V. Pascucci, D. Schikore

Proceeding of the IEEE Visualization, pages 51-58, October 1998, Research Triangle Park, NC.

Web-based approach for very complex animations through geometric programming

C. Bajaj, C. Baldazzi, S. Cutchin, A. Paoluzzi, V. Pascucci, M. Vicentino

Compression and Coding of Large CAD Models

C. Bajaj, V. Pascucci, G. Zhuang

Error Resilient Streaming of Compressed VRML

C. Bajaj, S. Cutchin, V. Pascucci, G. Zhuang

Web Based Collaborative CAAD

C. Bajaj, S. Cutchin, V. Pascucci, A. Paoluzzi, C. Morgia, G. Scorzelli

Data Visualization Techniques

C. Bajaj

John Wiley and Sons, (1998).

Visualization Paradigms

C. Bajaj

Data Visualization Techniques, edited by C. Bajaj, John Wiley and Sons (1998).

Accelerated IsoContouring of Scalar Fields

C. Bajaj, V. Pascucci, D. Schikore

Data Visualization Techniques, edited by C. Bajaj, John Wiley and Sons (1998).

Interrogative Visualization

C. Bajaj

Geometric Modeling, Computing Supplement, 13, Edited by G. Farin, H.Bieri, G. Brunnett, T. DeRose, Springer Verlag, (1998), 17-26.

Spline Approximations of Real Algebraic Surfaces

C. Bajaj, G. Xu

Journal of Symbolic Computation, Special Isssue on Parametric Algebraic Curves and Applications, 23, 2-3, (1997), 315 - 333.

Piecewise Rational Approximation of Real Algebraic Curves

C. Bajaj, G. Xu

Journal of Computational Mathematics, vol. 15, no. 1, (1997), 55-71.

Modeling and Visualization of C1 and C2 Scattered Function Data on Curved Surfaces

C. Bajaj, G. Xu

Proc. of 2nd Pacific Conference on Computer Graphics and Applications, PAC94, Beijing China, 19-29. Full version for Publication in Computer Aided Geometric Design, (1997).

Reconstructing Surfaces and Functions on Surfaces from Unorganized Three-Dimensional Data

C. Bajaj, F. Bernardini, G. Xu

Algorithmica, 19, 1-2, (1997), 243-261.

Web Based Collaboration-Aware Synthetic Environments

C. Bajaj, S. Cutchin

Proceedings of the 1997 GVU/NIST TEAMCAD workshop, Atlanta, GA, 1997, 143 - 150.

The Contour Spectrum

C. Bajaj, V. Pascucci, D.Schikore

Proceedings of the 1997 IEEE Visualization Conference,167-173, October 1997 Phoeniz, Arizona.

Sampling and Reconstructing Manifolds using Alpha-Shapes

F. Bernardini, C. Bajaj

Proc. of the Ninth Canadian Conference on Computational Geometry, 193-198, August 1997.

A Triangulation-based Object Reconstruction Method

F. Bernardini, C. Bajaj, J. Chen, D. Schikore

In 6th Annual Video Review of Computational Geometry, 13th ACM Symposium on Computational Geometry. ACM, 1997.

Contour Trees and Small Seed Sets for Isosurface Traversal

M. van Kreveld, R. van Oostrum, C. Bajaj, V. Pascucci, D. Schikore

In Proceedings Thirteenth ACM Symposium on Computational Geometry (Theoretical Track), (Nice, France, June 4-6, (1997), ACM Press, pp. 212-219.

NURBS based B-rep Models from Macromolecules and their Properties

C. Bajaj, H. Lee, R. Merkert, V. Pascucci

In Proceedings of Fourth Symposium on Solid Modeling and Applications, Atlanta,Georgia, 1997, C. Hoffmann and W. Bronsvort Eds., ACM Press. pp. 217-228.

Comprehensive Analysis of Joints from Patient Clinical Data

C. Bajaj, F. Bernardini, S. Cutchin, K. Lin, E. Sacks, D. Schikore

Technical Report 97-019, Purdue University, Computer Sciences, (1997).

Introduction to Implicit Surfaces

C. Bajaj, J. Bloomenthal, J. Blinn, M. Gascuel, A. Rockwood, B. Wyvill, G. Wyvill

Morgan Kaufman Publishers Inc., (1997).

Splines and Geometric Modeling

C. Bajaj, S. Evans

CRC Handbook of Discrete and Computational Geometry, edited by J. Goodman and J. O'Rourke, CRC Series, Discrete and Combinatorial Mathematics, (1997), 833-849.

Implicit Surface Patches

C. Bajaj

Introduction to Implicit Surfaces, edited by J. Bloomenthal, Morgan Kaufman Publishers, (1997), 98-125.

Modeling Physical Fields for Interrogative Data Visualization

C. Bajaj

7th IMA Conference on the Mathematics of Surfaces, The Mathematics of Surfaces VII, edited by T.N.T. Goodman and R. Martin, Oxford University Press, (1997).

Arbitrary Topology Shape Reconstruction from Planar Cross Sections

C. Bajaj, E. Coyle, K. Lin

Graphical Models and Image Processing, 58:6, (1996), 524-543.

Error-Bounded Reduction of Triangle Meshes with Multivariate Data

C. Bajaj, D. Schikore

Proceedings: Visual Data Exploration and Analysis III, SPIE vol 2656, (1996), 34-45.

Splitting a Complex of Convex Polytopes in Any Dimension

C. Bajaj, V. Pascucci

Proceedings: 12th Annual ACM Symposium on Computational Geometry, ACM Press, (1996), Philadelphia, PA, 88-97.

Fast Isocontouring for Improved Interactivity

C. Bajaj, V. Pascucci, D. Schikore

Proceedings: ACM Siggraph/IEEE Symposium on Volume Visualization, ACM Press, (1996), San Francisco, CA. Pages: 39-46 (text) 99 (color plate).

Automatic Reconstruction of 3D CAD Models

C. Bajaj, F. Bernardini, J. Chen, D. Schikore

Proceedings: International Conference on Theory and Practice of Geometric Modeling, Blaubeuren, (1996), Springer-Verlag.

Physical Simulation of the Visible Human Joints

C. Bajaj, F. Bernardini, K. Lin, E. Sacks, D. Schikore

The Visible Human Project Conference, 1996.

Interrogative Visualization of the Visible Human Datasets

C. Bajaj, F. Bernardini, V. Pascucci, D. Schikore

The Visible Human Project Conference, 1996.

Boundary and 3D Triangular Meshes from Planar Cross Sections

C. Bajaj, E. Coyle, K. Lin

Proceedings: The Fifth International Meshing Roundtable, Sandia National Lab., Sandia Report SAND96-2301, UC-405, (1996), Pittsburgh, PA, 169-178.

NLS: Collaborative Virtual Environment to Promote Shared Awareness

C. Bajaj, N. Osumi, M. Shinya, T. Mori, T. Sunaga, D. Cutchin, R. Merkert

Proceedings: Workshop on New Paradigms in Information Visualization and Manipulation, NPIV'96, In conjunction with Fifth ACM International Conference on Information and Knowledge Management (CIKM'96), (1996), pp. 41-45.

Computational Geometry for Interrogative Visualization

C. Bajaj

Proceedings of the 8th Canadian Conference on Computational Geometry (CCCG'96). Ottawa, Ontario, Canada. Pages 99-100.

Visualization of Scalar Topology for Structural Enhancement

D. Schikore, C. Bajaj

Technical Report 96-006, Purdue University, Computer Sciences (1996).

Object Based Constraint Management for Collaborative Systems

C. Bajaj, P. Zhang

Technical Report 96-039, Purdue University, Computer Sciences (1996).

Automatic Generation of 3D CAD Models

C. Bajaj, F. Bernardini, J. Chen, D. Schikore

Technical Report 96-015, Purdue University, Computer Sciences (1996).

Fast Isocontouring for Improved Interactivity

C. Bajaj, V. Pascucci, D. Schikore

Technical Report 96-024, Purdue University, Computer Sciences (1996).

Energy Formulations of A-Splines

C. Bajaj, J. Chen, R. Holt, A. Netravali

Technical Report 96-031, Purdue University, Computer Sciences (1996).

The Combinatorics of Real Algebraic Splines over a Simplicial Complex

C. Bajaj

Real Number Algorithms, edited by J. Renegar, M. Shub, and S. Smale, AMS Lecture Notes in Mathematics, (1996).

Free-Form Modeling with Implicit Surface Patches

C. Bajaj

Implicit Surfaces, edited by J. Bloomenthal abd B. Wyvill, Morgan Kaufman Publishers, (1996).

Finite Representations of Real Parametric Curves and Surfaces

C. Bajaj, A. Royappa

International Journal of Computational Geometry and Applications, 5, 3, (1995), 313-326.

Modeling with Cubic A-patches

C. Bajaj, J. Chen, G. Xu

ACM Transactions on Graphics, 14:2, (1995), 103-133.

Automatic Reconstruction of Surfaces and Scalar Fields from 3D Scans

C. Bajaj, F. Bernardini, G. Xu

Proceedings: Computer Graphics (1995), Annual Conference Series, SIGGRAPH 95, ACM SIGGRAPH, 109-118.

Approximation of Polyhedron with C^2 A-Patches

C. Bajaj, G. Xu, J. Chen

report on Fourth SIAM Conference on Geometric Design, November 6-9, 1995, Nashville, Tennessee.

Collaborative Multimedia in SHASTRA

C. Bajaj, S. Cutchin

3rd International Conference on Multimedia, 1995. San Francisco, CA. Pages 365-366.

Interactive Shape Control and Rapid Display of A-Patches

C. Bajaj, J. Chen, G. Xu

Eurographics International Workshop on Implicit Surfaces, Grenoble, France, (1995), 197-215.

Brokered Collaborative Infrastructure for CSCW

C. Bajaj, P. Zhang, A. Chaturvedi

Proceedings: Fourth IEEE Workshop on Enabling Technologies: Infrastructure for Collaborative Enterprises, Berkeley Springs, West Virginia, IEEE Computer Society Press, (1995), 207-213.

C1 and C2 Reconstruction of Surfaces and Scalar Fields

C. Bajaj, F. Bernardini, J. Chen, G. Xu

Fourth SIAM Conference on Geometric Design, Nashville, TN, (Nov. 1995).

Modeling with C2 Quintic A-patches

C. Bajaj, J. Chen, G. Xu

Fourth SIAM Conference on Geometric Design, Nashville, TN, (Nov. 1995).

Distributed and Collaborative Synthetic Environments

C. Bajaj, F. Bernardini

Human-Computer Interaction and Virtual Environments, number 3320, NASA Conference Publication, Hampton, Virginia, April 1995. NASA.

Adaptive Modeling of Dense Scattered Volumetric and Manifold Data

C. Bajaj, F. Bernardini, G. Xu

Technical Report 95-028, Purdue University, Computer Sciences (1995).

Decimation of 2D Scalar Data with Error Control

D. Schikore, C. Bajaj

Technical Report, Feb 1995 , Purdue University, Computer Sciences (1995) .
Color Plates, pp. 7-9

Algebraic Geometry and its Applications

C. Bajaj

Springer Verlag, 1995.

Custom Prosthesis Design and Prototyping Using Multimedia

C. Bajaj, V. Anupam, D. Schikore

Multimedia Medical Education, edited by Roy Rada and Claude Ghaoui, Intellect Books, Oxford, England, (1995), chapter 3, 39-47, ISBN 1-871516-63-3.

Sparse Smooth Connection between Bezier/Bspline Curves

C. Bajaj, G. Xu

Graphics Gems V, edited by A. Paeth, Academic Press, New York, (1995), chapter IV.6, 191-198.

Interactive Visualization of Multidimensional Data

C. Bajaj

Computer Graphics and Applications, edited by S. Y. Shin, T. Kunii, World Scientific Publishing, (Invited Paper), (1995), 63-77.

NURBS Approximation of Surface/Surface Intersection Curves

C. Bajaj, G. Xu

Advances in Computational Mathematics, 2, 1, (1994), 1-21, doi: 10.1007/BF02519033 (opens in a new tab).

Scientific Problem Solving in a Distributed and Collaborative Multimedia Environment

V. Anupam, C. Bajaj, F. Bernardini, S. Cutchin, J. Chen, D. Schikore, G. Xu, P. Zhang, W. Zhang

Mathematics and Computers in Simulation, 36, 433-442, North Holland, (1994). (Special Issue on Problem Solving Environments for Computational Science and Engineering, edited by E. Houstis).

Distributed and Collaborative Visualization

V. Anupam, C. Bajaj, D. Schikore, M. Schikore

IEEE Computer, 27, 7, (July, 1994), 37-43.

SHASTRA - An Architecture for Development of Collaborative Applications

C. Bajaj, V. Anupam

International Journal of Intelligent and Cooperative Information Systems, 3, 2, (1994), 155-172.

Shastra: Multimedia Collaborative Design Environment

V. Anupam, C. Bajaj

IEEE Multimedia, 1, 2, (1994), 39-49.

Free-Form Surface Design with A-Patches

C. Bajaj, J. Chen, G. Xu

Proceedings: Graphics Interface '94, GI94, Vancouver, Canada, Canadian Information Processing Society (1994), 174-191.

Constructive Solid Geometry on a MIMD Distributed-Memory Machines

C. Bajaj, G. Xu, T. Dey

Proceedings: Set-theoretic Solid Modeling Techniques and Applications, CSG94, Information Geometers Press, Winchester, U.K. (1994), 213-223.

Data Fitting with Cubic A-splines

C. Bajaj, G. Xu

Proceedings: Computer Graphics International, CGI94, Melbourne, Australia, (1994).

Distributed Volume Modeling and Collaborative Visualization

C. Bajaj, D. Schikore, G. Xu

Proceedings: Fifth Eurographics Workshop on Visualization in Scientific Computing, Rostock, Germany, (1994).

Custom Prosthesis Design, Visualization, and Prototyping

C. Bajaj, D. Schikore

Proceedings of SPIE, Volume 2359. Visualization in Biomedical Computing 1994, Richard A. Robb, Editor, September 1994, pp. 504-510.

Triangulation and Display of Rational Parametric Surfaces

C. Bajaj, A. Royappa

Proceedings: IEEE Visualization '94 Conference, Washington, DC, edited by R. Bergeron, A. Kaufman, IEEE Computer Society Press, (1994), 69-76.

Distributed Medical Modeling, Design Prototyping and Collaborative Visualization

C. Bajaj

Proceedings: Applications of Computer Vision in Medical Image Processing, AAAI 1994 Spring Symposium, AIM-94, Stanford, CA, (1994).

Scalar Field Modeling and Visualization on the Intel Delta

C. Bajaj, K. Lin

Proceedings: Intel Supercomputing User's Group, ISUG '94, June, (1994), San Diego, CA. Technical Report 94-039, Purdue University, Computer Sciences (6/94).

Reconstructing and Visualizing Scalar Fields in Three Dimensions

C. Bajaj

Proceedings: The 14th IMACS World Congress on Computational and Applied Mathematics, ed. by W. Ames, vol. 3, 1994, 1092-1095.

Distributed Modeling and Visualization of Timed Clinical Data

C. Bajaj

Proceedings: The Artificial Intelligence in Medicine, AAAI 1994 Spring Symposium, AIM-94, Stanford, CA, (1994).

Path-planning for a mobile robot sweeper

C. Bajaj, F. Bernardini, S. Cutchin, K. Sugihara

Presented at: The 2-nd Workshop on Robot Motion Planning, L'Escala, Spain, October 1994.

Polynomial Surface Patch Representations

C. Bajaj

Technical Report 94-038 (25 pages), Purdue University, Computer Sciences (5/94).

A Geometric Approach to Molecular Docking and Similarity

C. Bajaj, F. Bernardini, K. Sugihara

Technical Report 94-017 (20 pages), Purdue University, Computer Sciences (3/94).

Converting a Rational Surface to a Standard Rational Bernstein-Bezier Surface

C. Bajaj, G. Xu

Technical Report 94-044 (7 pages), Purdue University, Computer Sciences (6/94).

Smooth Low Degree Approximations of Polyhedra

C. Bajaj, J. Chen, G. Xu

Technical Report 94-002 (24 pages), Purdue University, Computer Sciences (1/94).

Cooperating Brokers to Support Cooperative Work

V. Anupam, C. Bajaj, P. Zhang

Technical Report 94-009, Purdue University, Computer Sciences (2/94).

Using Algebraic Geometry for Multivariate Polynomial Interpolation

C. Bajaj

Studies in Computer Science, Special Issue of Proceedings: Symposium to Honor Sam Conte, ed by J. Rice and R. DeMillo, Plenum Press, N.Y., (1994), Chap 8, 181-190.

Converting a Rational Curve to a Standard Rational Bezier Representation

C. Bajaj, G. Xu

Graphics Gems IV, edited by P. Heckbert, Academic Press, New York, (1994), 256-260.

Rational Spline Approximations of Real Algebraic Curves and Surfaces

C. Bajaj, G. Xu

Advances in Computational Mathematics, edited by H.P. Dikshit and C. Michelli, World Scientific Publishing Co., Approximations and Decomposition Series, vol 4., (1994), 73-85.

Modeling Scattered Function Data on Curved Surfaces

C. Bajaj, G. Xu

Fundamentals of Computer Graphics, edited by J. Chen, N. Thalmann, Z. Tang, and D. Thalmann, World Scientific Publishing Co., (1994), 19-29.

Some Applications of Constructive Real Algebraic Geometry

C. Bajaj

Algebraic Geometry and Applications, Special Issue of Symposium on the occasion of Shreeram Abhyankar's 60th Birthday, edited by C. Bajaj, Springer Verlag, (1994), Chapter 25, 393-405.

SHASTRA - An Architecture for Development of Collaborative Applications

V. Anupam, C. Bajaj

Proceedings: Second IEEE Workshop on Enabling Technologies: Infrastructure for Collaborative Enterprises, 155-166, (1993), Morgantown.

Higher-Order Interpolation and Least-Squares Approximation Using Implicit Algebraic Surfaces

C. Bajaj, I. Ihm, J. Warren

ACM Transactions on Graphics, 12, 4, (1993), 327-347.

Factoring Rational Polynomials over the Complexes

C. Bajaj, J. Canny, T. Garrity, J. Warren

Siam Journal on Computing, 22, 2, (1993), 318-331.

Finite Representations of Real Parametric Curves and Surfaces

C. Bajaj, A. Royappa

Proceedings: IFIP TC 5/WG 5.10 II Conference on Geometric Modeling in Computer Graphics, (1993), ed. by B. Falcidieno, T. Kunii, Springer Verlag, 347-358.

Collaborative Multimedia in Scientific Design

V. Anupam, C. Bajaj

Proceedings: First ACM Multimedia Conference, ACM MULTIMEDIA 93, Anaheim, California, ACM Press, (1993), 447-456.

Multi-dimensional Hermite Interpolation and Approximation for Modeling and Visualization

C. Bajaj

Proceedings: The IFIP TC5/WG5.2/WG5.10 CSI International Conference on Computer Graphics, ICCG93, (1993), IFIP Transactions B-9, North Holland, 335-348. Graphics, Design and Visualization, ed. by S. Mudur, S. Pattanaik.

Distributed Design of Hip Prosthesis using BHAUTIK

C. Bajaj, D. Schikore

Proceedings: The 1993 ACM/SIGAPP Symposium on Applied Computing, (1993), Indianapolis, Indiana, ACM Press, 36-39.

The VAIDAK Medical Image Model Reconstruction Toolkit

C. Bajaj, M. Fields

Proceedings: The 1993 ACM/SIGAPP Symposium on Applied Computing, (1993), Indianapolis, Indiana, ACM Press, 28-35.

Low Degree Approximations of Surfaces for Revolved Objects

C. Bajaj, I. Ihm

Proceedings: Graphics Interface '93, (1993) Toronto, Canada, Canadian Information Processing Society, 33-41.

The GATI Client-Server Animation Toolkit

C. Bajaj, S. Cutchin

Proceedings: Computer Graphics International, CGI93, Communicating with Virtual Worlds, edited by N. Thalmann and D. Thalmann, Springer Verlag, (1993), 413-423.

Distributed and Collaborative Modeling and Visualization

C. Bajaj

Proceedings: The IEEE Visualization '93 Workshop on Intelligent Visualization Systems, San Jose, Ca, Chapter 12, (1993).

Scientific Problem Solving in a Distributed and Collaborative Geometric Environment

V. Anupam, C. Bajaj, S. Cutchin, S. Evans, I. Ihm, J. Chen, A. Royappa, D. Schikore, G. Xu

3rd International Conference on Expert Systems for Numerical Computing, May 17-19, 1993, West Lafayette, IN.

Distributed Modeling and Rendering of Splines Using Ganith

C. Bajaj, J. Chen, S. Evans

Technical Report 93-006 (29 pages), Purdue University, Computer Sciences (1/93).

Collaborative multimedia game environments

V. Anupam, C. Bajaj

Technical Report 93-086 (13 pages), Purdue University, Computer Sciences (12/93).

Trivariate Interpolation for Scientific Visualization

C. Bajaj, G. Xu

Technical Report 93-032, Purdue University, Computer Sciences (6/93).

The Emergence of Algebraic Curves and Surfaces in Geometric Design

C. Bajaj

Directions in Geometric Computing, edited by R. Martin, Information Geometers Press, United Kingdom (1993), Chapter 1, 1-29.

Smoothing Polyhedra using Implicit Algebraic Splines

C. Bajaj, I. Ihm

Computer Graphics, 26, 2, (1992), 79-88. Proceedings: 1992 ACM Transactions on Graphics, SIGGRAPH 92, Chicago, Illinois.

Delaunay Triangulations in Three Dimensions with Finite Precision Arithmetic

T. Dey, K. Sugihara, C. Bajaj

Computer Aided Geometric Design, 9:6(1992), 457-470.

Algebraic Surface Design with Hermite Interpolation

C. Bajaj, I. Ihm

ACM Transactions on Graphics, 11, 1, (1992), 61-91.

Convex Decomposition of Polyhedra and Robustness

C. Bajaj, T. Dey

Siam Journal on Computing, 21, 2, (1992), 339-364.

On Good Triangulations in Three Dimensions

T. Dey, C. Bajaj, K. Sugihara

International Journal of Computational Geometry and Applications, 2, 1, (1992), 75-95.

Robust Display of Arbitrary Rational Parametric Surfaces

C. Bajaj, A. Royappa

Curves and Surfaces in Computer Vision and Graphics III
Proceedings: Symposium on Electronic Imaging Science and Technology, Boston, Massachusetts, vol. 1830, (1992), 70-80.

Parameterization in Finite Precision

C. Bajaj, A. Royappa

Proceedings: Graphics Interface '92, (1992), Vancouver, Canada, Canadian Information Processing Society, 29-36.

Algebraic Surface Design and Finite Element Meshes

C. Bajaj

Proceedings: The NASA Workshop on Software Systems for Surface Modeling and Grid Generation, NASA Langley Research Publication 3143, (1992), 121-131.

A-splines: Local interpolation and approximation using continuous piecewise real algebraic curves

C. Bajaj, G. Xu

Technical Report 92-095, Purdue University, Computer Sciences (12/92).

Geometric Search and Replace in Solid Modeling Editing

C. Bajaj, K. Sugihara

Technical Report 92-078 (11 pages), Purdue University, Computer Sciences (10/14/92).

The Shilp Solid Modeling and Display Toolkit in v 1.1

V. Anupam, C. Bajaj

Technical Report 92-072 (43 pages), Purdue University, Computer Sciences (10/92).

Surface Fitting with Implicit Algebraic Surface Patches

C. Bajaj

Topics in Surface Modeling, edited by H. Hagen, SIAM Publications, (1992), Chapter 2, 23-52.

On Good Triangulations in Three Dimensions

T. Dey, C. Bajaj, K. Sugihara

Proceedings: The ACM Symposium on Solid Modeling Foundations and CAD/CAM Applications, (1991), 431-441.

Electronic Skeletons: Modeling Skeletal Structures with Piecewise Algebraic Surfaces

C. Bajaj

Curves and Surfaces in Computer Vision and Graphics 2: Proceedings of the Symposium on Electronic Imaging Science and Technology, volume 1610, pages 230-237, Boston, MA, 1991.

The Vaidak Medical Imaging and Model Reconstruction Toolkit

B. Bailey, C. Bajaj, M. Fields

Technical Report 91-066 (21 pages), Purdue University, Computer Sciences (8/30/91).

Portable 3D Graphics in a Heterogeneous Distributed Environment

V. Anupam, C. Bajaj, M. Fields, A. Royappa

Technical Report 91-074 (7 pages), Purdue University, Computer Sciences (10/17/91).

XS: A Hardware Independent Graphics and Windowing Library

V. Anupam, C. Bajaj, A. Burnett, M. Fields, A. Royappa, D. Schikore

Technical Report 91-062 (16 pages), Purdue University, Computer Sciences (8/28/91) CAPO-91-28 1991.

Convex Hulls of Objects bounded by Algebraic Curves

C. Bajaj, M. Kim

Algorithmica, 6, 1, (1990), 533-553.

Sorting Points along an Algebraic Curve

J. Johnstone, C. Bajaj

Siam Journal on Computing, 19, 5, (1990), 925-967.

Rational Hypersurface Display

C. Bajaj

Computer Graphics, 24, 2, (1990), 117-127. Proceedings: 1990 ACM Symposium on Interactive 3D Graphics, Snowbird, Utah.

Robust Computations of Polygon Nesting

C. Bajaj, T. Dey

Proceedings: International Workshop on Discrete Algorithms and Complexity, Fukuoka, Japan, (1989), 33-40.

Polygon Nesting and Robustness

C. Bajaj, T. Dey

Information Processing Letters, 35, 1, (1990), 23-32.

Generation of Configuration Space Obstacles: The Case of Moving Algebraic Surfaces

C. Bajaj, M. Kim

International Journal of Robotics Research, 9, 1, (1990), 92-112.

The GANITH Algebraic Geometry Toolkit

C. Bajaj, A. Royappa

Proceedings: 1st Annual Conference on the Design and Implementation of Symbolic Computation Systems, Lecture Notes in Computer Science, No. 429, Springer-Verlag, (1990), 268-269.

Geometric Computations with Algebraic Varieties of Bounded Degree

C. Bajaj

Proceedings: 6th Annual ACM Symposium on Computational Geometry, (1990) Berkeley, California, 148-156.

Dynamic Voronoi Diagrams and Delaunay Triangulations

C. Bajaj, W. Bouma

Proceedings: The 2nd Annual Canadian Conference on Computational Geometry, (1990), Ottawa, Canada, 273-277.

G1 Interpolation Using Piecewise Quadric and Cubic Surfaces

C. Bajaj

Proceedings of SPIE - Volume 1251, Curves and Surfaces in Computer Vision and Graphics, Leonard A. Ferrari, Rui J. P. de Figueiredo, Editors, August 1990, pp. 82-93.

Parametric, and Surface. Unifying Parametric and Implicit Surface Representations for Computer Graphics: Surface Display and Algebraic Fitting

C. Bajaj

Technical Report 995 (25 pages), Purdue University, Computer Sciences (7-18-90).

Geometric Modeling with Algebraic Surfaces

C. Bajaj

The Mathematics of Surfaces III, edited by D. Handscomb, Oxford University Press, (1990), Chapter I, 3-48.
Invited Paper: 3rd IMA, Conference on the Mathematics of Surfaces.

Factoring Rational Polynomials over the Complexes

C. Bajaj, J. Canny, T. Garrity, J. Warren

Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation 1989, Portland, Oregon, United States, July 17 - 19, 1989, 81-90.

Hermite Interpolation of Rational Space Curves using Real Algebraic Surfaces

C. Bajaj, I. Ihm

Proceedings: 5th Annual ACM Symposium on Computational Geometry, Saarbrucken, West Germany, (1989), 94-103.

Robust Decompositions of Polyhedra

C. Bajaj, T. Dey

Proceedings: Ninth Conference on Foundations of Software Technology and Theoretical Computer Science, Lecture Notes in Computer Science, No. 405, Springer-Verlag, (1989), 267-279.

Geometric Optimization and D^P -Completeness

C. Bajaj, M. Li

Discrete and Computational Geometry, 4, 1, (1989), 3-13.
Abstract appears in Zentralblatt fur Mathematik.

Automatic Parameterization of Rational Curves and Surfaces IV: Algebraic Space Curves

S. Abhyankar, C. Bajaj

ACM Transactions on Graphics, 8, 4, (1989), 325-334.

Generation of Configuration Space Obstacles: The Case of Moving Algebraic Curves

C. Bajaj, M. Kim

Algorithmica, 4, 1, (1989), 157-172.

Computations with Algebraic Curves

C. Bajaj, S. Abhyankar

Proceedings: International Symposium on Symbolic and Algebraic Computation, ISSAC88, Lecture Notes in Computer Science, No. 358, Springer-Verlag, (1989), 279-284.

Local Parameterization, Implicitization and Inversion of Real Algebraic Curves

C. Bajaj

Proceedings: The International Conference on Applied Algebra, Algebraic Algorithms, And Error Correcting Codes, (AAECC-7), (1989), Toulouse, France.

Quadric and Cubic Hypersurface Parameterization

C. Bajaj

Technical Report 881, Purdue University, Computer Sciences (4/27/89).

Curvature Adjusted Parameterization of Curves

R. Patterson, C. Bajaj

Technical Report 907 (16 pages), Purdue University, Computer Sciences (9/19/89).

The Algebraic Degree of Geometric Optimization Problems

C. Bajaj

Discrete and Computational Geometry, 3, 1, (1988), 177-191.

Generalized Unfoldings for Shortest Paths in Euclidean 3-Space

C. Bajaj, T. Moh

International Journal of Robotics Research, 7, 1, (1988), 71-76.

Generation of Configuration Space Obstacles: The Case of Moving Spheres

C. Bajaj, M. Kim

IEEE Journal of Robotics and Automation, 4, 1, (1988), 94-99.

Face Area Evaluation Algorithm for Solids

M. Wu, C. Bajaj, C. Liu

Computer Aided Design, 20, 2, (1988), 75-82.

Tracing Surface Intersections

C. Bajaj, C. Hoffmann, R. Lynch, J. Hopcroft

Computer Aided Geometric Design, 5:4(1988), 285-307.

Automatic Parameterization of Rational Curves and Surfaces III: Algebraic Plane Curves

S. Abhyankar, C. Bajaj

Computer Aided Geometric Design, 5:4(1988), 309-321.

Algorithms for Planar Geometric Models

C. Bajaj, M. Kim

Proceedings: The Fifteenth International Colloquium on Automata, Languages and Programming, ICALP 88.
Lecture Notes in Computer Science, Springer-Verlag, 317, (1988), 67-81.

Computing About Physical Objects

C. Bajaj, W. Dyksen, C. Hoffmann, E. Houstis, T. Korb, J. Rice

Proceedings: The 12th IMACS World Congress, Paris, (1988), 642-645.

Mathematical Techniques in Solid Modeling

C. Bajaj

Proceedings: International Conference on Computer Integrated Manufacturing, RPI Troy, NY, (1988), 290-295.

Approximation Methods for Algebraic Curves and Surfaces

C. Bajaj

Technical Report 822, Purdue University, Computer Sciences (11/15/88).

Algorithmic Implicitization of Algebraic Curves and Surfaces

C. Bajaj

Technical Report 742, Purdue University, Computer Sciences (2/5/88).

On the Applications of Multi-Equational Resultants

C. Bajaj, T. Garrity, J. Warren

Technical Report 826, Purdue University, Computer Sciences (11/21/88).

Generation of Configuration Space Obstacles: The Case of Moving Algebraic Curves

C. Bajaj, M. Kim

Proceedings: 1987 IEEE International Conference on Robotics and Automation, Raleigh, North Carolina, volume 4, (March 1987), 979-984.

Efficient Algorithms for Common Transversals

M. Atallah, C. Bajaj

Information Processing Letters, 25, 2, (1987), 87-91.

Automatic Parameterization of Rational Curves and Surfaces II: Cubics and Cubicoids

S. Abhyankar, C. Bajaj

Computer Aided Design, 19, 9, (1987), 499-502.

Automatic Parameterization of Rational Curves and Surfaces I: Conics and Conicoids

S. Abhyankar, C. Bajaj

Computer Aided Design, 19, 1, (1987), 11-14.

Geometric Optimization and the Polynomial Hierarchy

C. Bajaj

Theoretical Computer Science, 54, 1, (1987), 87-102.

Compliant Motion Planning with Geometric Models

C. Bajaj, M. Kim

Proceedings: 3rd ACM Symposium on Computational Geometry, Waterloo, Canada, (1987), 171-180.

A Note on an Efficient Implementation of the Sylvester Resultant for Multivariate Polynomials

C. Bajaj, A. Royappa

Technical Report 718, Purdue University, Computer Sciences (10/23/87).

Proving Geometric Algorithm Non-Solvability: An Application of Factoring Polynomials

C. Bajaj

Journal of Symbolic Computation, 2, (1986), 99-102.

Limitations to Algorithmic Solvability: Galois Methods and Models of Computation

C. Bajaj

Proceedings: ACM Symposium on Symbolic and Algebraic Computation, SYMSAC86, Waterloo, Canada, (1986), 71-76.

An Efficient Parallel Solution for Euclidean Shortest Paths in 3-Dimensions

C. Bajaj

Proceedings: 1986 IEEE International Conference on Robotics and Automation, San Francisco, California, (1986), volume 3, 1897-1900.

Geometric Optimization and the Polynomial Hierarchy

C. Bajaj

Proceedings: Fifth Conference on Foundations of Software Technology and Theoretical Computer Science, Lecture Notes in Computer Science, 206, Springer-Verlag, (1985), 176-195.

The Algebraic Complexity of Shortest Paths in Polyhedral Spaces

C. Bajaj

Proceedings: 23rd Annual Allerton Conference on Communication, Control and Computing, Monticello, Illinois, (1985), 510-517.