Publications

If you have questions about papers that are not linked, please send inquiries to ccv@ices.utexas.edu.

Use gunzip or 'gzip -d' to uncompress the (ps.gz) files and Adobe Acrobat to view the pdf files.

2004

Journal Publications - 2004

Yongjie Zhang, Chandrajit L. Bajaj, Bong-Soo Sohn
3D Finite Element Meshing from Imaging Data
Accepted in the special issue of Computer Methods in Applied Mechanics and Engineering (CMAME) on Unstructured Mesh Generation, 2004. (pdf)

Yuhua Song, Yongjie Zhang, Chandrajit L. Bajaj and Nathan A. Baker
Continuum Diffusion Reaction Rate Calculations of Wild Type and Mutant Mouse Acetylcholinesterase: Adaptive Finite Element Analysis
Accepted in Biophysical Journal, 2004.

Yuhua Song, Yongjie Zhang, Tongye Shen, Chandrajit L. Bajaj, J. Andrew McCammon and Nathan A. Baker
Finite Element Solution of the Steady-State Smoluchowski Equation for Rate Constant Calculations
Biophysical Journal, 86(4):2017-2029, 2004. (pdf) (abstract)

Bong-Soo Sohn, Chandrajit Bajaj, Vinay Siddavanahalli
Volumetric Video Compression and Interactive Playback
Computer Vision and Image Understanding, special issue on "Model-based and Image-based 3D Scene Representation for Interactive Visualization", To Appear (pdf) (abstract)

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
Automatic Particle Selection: Results of a comparative study
Journal of Structural Biology, Volume 145, 2004, Pages 3-14 (pdf) (abstract)

Z. Yu, C. Bajaj
Detecting Circular and Rectangular Particles Based on Geometric Feature Detection in Electron Micrographs.
Journal of Structural Biology, Volume 145, 2004, Pages 168-180 (pdf) (abstract)

Conference Presentations & Publications - 2004

Y. Shin, C. Bajaj
Auralization I: Vortex Sound Synthesis
Proceedings of Symposium on Visualization, Joint Eurographics - IEEE TCVG, Konstanz, Germany, May 2004 (pdf) (ps) (abstract)

Zeyun Yu and Chandrajit Bajaj
A Fast and Adaptive Algorithm for Image Contrast Enhancement
Proceedings of 2004 IEEE International Conference on Image Processing (ICIP'04), Singapore, October 2004. (to appear) (pdf) (abstract)

Zeyun Yu and Chandrajit Bajaj
A Segmentation-Free Approach for Skeletonization of Gray-Scale Images via Anisotropic Vector Diffusion
Proceedings of 2004 IEEE International Conference on Computer Vision and Pattern Recognition (CVPR'04), Washington, DC, June 2004. (to appear) (pdf) (abstract)

Yongjie Zhang and Chandrajit Bajaj
Adaptive and Quality Quadrilateral/Hexahedral Meshing from Volumetric Imaging Data
Accepted in Proceedings of 13th International Meshing Roundtable, Willamsburg, VA. September 19-22, 2004. (pdf)

Technical Reports - 2004

Zeyun Yu and Chandrajit Bajaj
Visualization of Icosahedral Virus Structures from Reconstructed Volumetric Maps
Technical Report, Department of Computer Sciences, The University of Texas at Austin, April 9, 2004. (pdf) (abstract)

Yongjie Zhang and Chandrajit Bajaj
Finite Element Meshing for Cardiac Analysis
ICES Technical Report 04-26, The University of Texas at Austin, 2004. (pdf)

Book Chapters - 2004

Bajaj, C, Splines and Geometric Modeling
Handbook of Discrete and Computational Geometry
Chap53, pg 1187-1208
2nd Ed., ed by J. Goodman, J. O'Rourke, Chapman & Hall/CRC, 2004

Contour Trees and Small Seed Sets for Isosurface Generation,
Topological Data Structures for Surfaces
Chap5, pg 71 - 86, 2004
ed. by S. Rana, John Wiley & Sons, Ltd, 2004

2003

Journal Publications - 2003

C. Bajaj, G. Xu, R. Holt, A. Netravali
NURBS approximation of A-splines and A-patches,
International Journal of Computational Geometry and Applications, Vol. 13, No. 5, November 2003, Pages 359-389 (pdf)

W. Blanke, C. Bajaj
Active Visualization in a Multidisplay Immersive Environment
Computers and Graphics: Special Issue on Graphics Hardware, Vol. 27, Issue 5, October 2003, Pages 681-691 (pdf)

C. Bajaj, Z. Yu, M. Auer
Volumetric Feature Extraction and Visualization of Tomographic Molecular Imaging.
Journal of Structural Biology, Volume 144, Issues 1-2, October 2003, Pages 132-143 (pdf)

W. Jiang, M. Baker, Q. Wu, C. Bajaj, W. Chiu
Applications of Bilateral Denoising Filter in Biological Electron Microscopy
Journal of Structural Biology Volume 144, Issues 1-2 , October 2003, Pages 114-122 (pdf)

C. Bajaj, G. Xu
Anisotropic Diffusion of Subdivision Surfaces and Functions on Surfaces
ACM Transactions on Graphics, Vol. 22, No. 1, January 2003, pages 4-32 (pdf)

C. Bajaj, V. Pascucci, A. Shamir, R. Holt, A. Netravali
Dynamic Maintenance and Visualization of Molecular Surfaces.
Discrete Applied Mathematics 127 (2003). pages 23-51. (ps-gz) (pdf) (Abstract)

G. Xu C. Bajaj
Curvature Computations of 2-manifolds in R^k
Journal of Computational Mathematics. Volume 21. Number 5. (2003). Pages 681 -- 688. (ps)

Conference Presentations & Publications - 2003

Zeyun Yu and Chandrajit Bajaj
A Gravitation-Based Clustering Method and Its Applications in 3D Electron Microscopy Imaging
Proceedings of the 5th International Conference on Advances in Pattern Recognition(ICAPR'03), pp. 137-140, Calcutta, India, December 2003. (pdf) (abstract)

Y. Zhang, C. Bajaj, B-S. Sohn
Adaptive and Quality 3D Meshing from Imaging Data
Proceedings of 8th ACM Symposium on Solid Modeling and Applications. Pages 286-291. Seattle, WA. June 16-20, 2003. (pdf) (abstract)

C. Bajaj, S. Khandelwal, J Moore, V. Siddavanahalli
Interactive Poster: Interactive Symbolic Visualization of Semi-automatic Theorem Proving
IEEE Symposium on Information Visualization 2003. Seattle, WA. (pdf)

Technical Reports - 2003

Bong-Soo Sohn , Chandrajit Bajaj.
Time-Varying Contour Topology
Technical Report, Department of Computer Sciences, The University of Texas at Austin, December 12, 2003. (pdf)

C. Bajaj, Q. Wu, G. Xu
Level-set Based Volumetric Anisotropic Diffusion for 3D Image Denoising
ICES Techical Report #301, University of Texas at Austin, 2003 (pdf)

Z. Yu, C. Bajaj
A Geometric Feature Detection Approach to Particle Picking in Electron Micrographs
Technical Report, Department of Computer Sciences,University of Texas at Austin, July 28 2003 (pdf)

G. Xu, Q. Pan, C. Bajaj
Discrete Surface Modeling using Geometric Flows
Technical Report, Department of Computer Sciences, University of Texas at Austin, August 2003 (pdf)

C. Bajaj, S. Khandelwal, J Moore, V. Siddavanahalli
Interactive Symbolic Visualization of Semi-automatic Theorem Proving
Technical Report, Department of Computer Sciences, University of Texas at Austin, August 2003 (pdf)

2002

Journal Publications - 2002

C. Bajaj, G. Xu, R. Holt, A. Netravali,
Hierarchical Multiresolution Reconstruction of Shell Surfaces
Computer Aided Geometric Design, 2002. Volume 19. No. 2 Pages 89-112 (ps.gz) (pdf)

G. Xu, C. Bajaj, S. Evans
C¹ Modeling with Hybrid Multiple-sided A-patches
Special issue  on  Surface and Volume Reconstructions  in the International Journal of Foundations of Computer Science Vol 13, No 2, pages 261-284
(pdf)

C. Bajaj, J Warren, G Xu
A Subdivision Scheme for Hexahedral Meshes
The Visual Computer, Vol. 18. Numbers 5-6. Pages 343-356. August 2002 (pdf)

Conference Presentations & Publications - 2002

C. Bajaj, G. Xu, J. Warren
Acoustics Scattering on Arbitrary Manifold Surfaces
Geometric Modeling and Processing, Theory and Application 2002, Japan, pages 73-82 (pdf)

X. Zhang, C. Bajaj, V. Ramachandran
Parallel and Out-of-core View-dependent Isocontour Visualization Using Random Data Distribution
Joint Eurographics-IEEE TCVG Symposium on Visualization 2002, pages 9-18. (pdf)

W. Blanke, C. Bajaj
Active Visualization in a Multidisplay Immersive Environment
Eighth Eurographics Workshop on Virtual Environments 2002, pages 103-111. (pdf)

Z. Yu, C. Bajaj
Normalized Gradient Vector Diffusion and Image Segmentation
Proceedings of the 7th European Conference on Computer Vision (LNCS 2352), vol. 3, pg. 517-530, (Published by Springer Press), Copenhagen, Denmark, May 28-31, 2002. (pdf)

Z. Yu, C. Bajaj
Image Segmentation Using Gradient Vector Diffusion and Region Merging
Proceedings of the 16th International Conference on Pattern Recognition, vol. 2, pg. 941-944, (Published by IEEE CS-Press), Quebec, Canada, August 11-15, 2002. (pdf)

Z. Yu, C. Bajaj
Anisotropic Vector Diffusion in Image Smoothing
Proceeding of the 9th IEEE International Conference on Image Processing, vol. 1, pg 828-831, (Published by IEEE CS Press), Rochester, New York, September 22-25, 2002. (pdf)

S. Park, C. Bajaj, V. Siddavanahalli
Interactive Rendering of Adaptive Mesh Refinement Data
Proceedings of IEEE Visualization pages 521-524 2002, Boston, MA (pdf)

B.-S. Sohn, C. Bajaj, V. Siddavanahalli
Feature Based Volumetric Video Compression for Interactive Playback
Proceedings of IEEE/SIGGRAPH Symposium on Volume Visualization and Graphics pages 89-96 2002, Boston, MA (pdf)

Addtl. Technical Reports - 2002

C. Bajaj, S. Park, A. G. Thane
Parallel Multi-PC Volume Rendering System
CS  & ICES Technical Report, University of Texas at Austin, 2002 (pdf)

C. Bajaj, A. Shamir, B.-S. Sohn
Progressive Tracking of Isosurfaces in Time-Varying Scalar Fields
CS  & ICES Technical Report, University of Texas at Austin, 2002 (pdf)

2001

Journal Publications - 2001

H. Pfister, B. Lorenson, C. Bajaj, G. Kindlmann, W. Schroeder, L.S. Avila, K.M. Raghu, R. Machiraju, J. Lee.
The Transfer Function Bake-off
IEEE Computer Graphics and Applications, Volume 21: Issue 3. May/June 2001. Pages 16-22. (pdf)

C. L. Bajaj, I. Ihm, S. Park
3D RGB Image Compression for Interactive Applications,
ACM Transactions on Graphics, Vol.20, No.1, pages 10-38, 2001 (pdf) (ps.gz) (Abstract)

C. Bajaj, G. Xu
Regular Algebraic Curve Segments (III) - Applications in Interactive Design and Data Fitting
Computer Aided Geometric Design, 18:3(2001), 149-173. (pdf) (Abstract)

G. Xu, C. Bajaj, H. Huang
C¹ Modeling with A-patches from Rational Trivariate Functions
Computer Aided Geometric Design, 18:3(2001), 221-243. (pdf) (Abstract)

C.Bajaj, G. Xu
Smooth Shell Construction with Mixed Prism Fat Surfaces
Geometric Modeling, Springer Verlag, Computing Supplementum 14, 2001, pg 19 - 36 (pdf)

Bajaj, V. Pascucci, G. Zhuang
Single Resolution Compression of Arbitrary Triangular Meshes with Properties
Computational Geometry: Theory and Applications,vol 14: 167-186, (ps.gz) (pdf)

Conference Presentations & Publications - 2001

C. Bajaj, G. Xu
Adaptive Fairing of Surface Meshes by Geometric Diffusion.
5th International Conference on Information Visualization (2001). London, England. Pages 731-737. (pdf)

X. Zhang, C. Bajaj, W. Blanke
Scalable Isosurface Visualization of Massive Datasets on COTS-Cluster
Proc. of IEEE 2001 Symposium on Parallel and Large-Data Visualization and Graphics, pg. 51-58, San Diego, CA, 2001 (pdf)

C. Bajaj, G. Xu
Anisotropic Diffusion of Noisy Surfaces and Noisy Functions on Surfaces
Proc. of Information Visualization 2001—Computer Aided Geometric Design, London, UK, 2001 (pdf)

C. Bajaj, I. Ihm, S. Park
Visualization-Specific Compression of Large Volume Data
Proc. of Pacific Graphics, pg. 212-222, 2001, Tokyo, Japan, Oct 2001 (pdf)

Addtl. Technical Reports - 2001

W. Blanke, C. Bajaj, X. Zhang, D. Fussell
A Cluster Based Emulator for Multidisplay, Multiresolution Parallel Image Compositing
CS  & TICAM Technical Report, University of Texas at Austin, 2001 (pdf)

Sanghun Park, Sangmin Park, C. Bajaj
Hardware Accelerated Multipipe Parallel Rendering of Large Data Stream
CS  & TICAM Technical Report, University of Texas at Austin, 2001 (pdf)

Sanghun Park, C. Bajaj, I. Ihm
Effective Visualization of Very Large Oceanography Time-varying Volume Dataset
CS  & TICAM Technical Report, University of Texas at Austin, 2001 (pdf)

2000

Journal Publications - 2000

C. L. Bajaj, C. Baldazzi, S. Cutchin, A. Paoluzzi, V. Pascucci and M. Vincentino.
A Programming Approach for Complex Animations.
Computer Aided Design 31:11(1999) 695-710 (pdf)

C. Bajaj, A. Royappa
Parameterization in Finite Precision
Algorithmica, vol 27: 100-114 (ps.gz)(pdf)

G. Xu, C. Bajaj, W. Xue
Regular Algebraic Curve Segments (I) -Definitions and Characterists
Computer Aided Geometric Design, 17:6(2000), 485-501 (ps.gz) (pdf)

G. Xu, C. Bajaj, C. Chu
Regular Algebraic Curve Segments (II) - Interpolation and Approximation
Computer Aided Geometric Design, 17:6(2000) 503-519 (ps.gz) (pdf)

B. S. Duerstock, C. Bajaj, V. Pascucci, D. Schikore. K.-N. Lin, R.B. Borgens
Three-Dimensional Imaging of the Experimental Spinal Cord Injury;
Computerized Medical Imaging and Graphics (pdf)

C. Bajaj, I. Ihm, S. Park,
Compression-Based 3D Texture Mapping for Real-Time Rendering
Graphical Models, Vol. 62, No. 6, pp. 391-410 (pdf) (Abstract)

Conference Presentations & Publications - 2000

A. Shamir, V. Pascucci, C. Bajaj
Multi-Resolution Dynamic Meshes with Arbitrary Deformations
Proc of IEEE Visualization Conference 2000, Salt Lake City, Utah, pg 423 - 430 (ps.gz) (pdf)

C. Bajaj, V. Pascucci
Time Critical Adaptive Refinement and Smoothing
Proceedings of the ACM/IEEE Volume Visualization and Graphics Symposium 2000, Salt lake City, Utah, pg 33- 42 (ps.gz) (pdf)

C. Bajaj, I. Ihm, S. Park, D. Song,
Compression-based Ray Casting of Very Large Volume Data in Distributed Environments
HPC-Asia 2000, pages 720-725, Beijing, China, May 2000. (pdf)

Addtl. Technical Reports - 2000

C. Bajaj, I. Ihm, S. Park,
Visualization-Specific Compression of Large Volume Data
TICAM Technical Report 00-17, University of Texas at Austin., Sep. 2000. (pdf)

W. Blanke, C, Bajaj, D. Fussell, X, Zhang
The Metabuffer: A Scalable Multiresolution Multidisplay 3-D Graphics System Using Commodity Rendering Engines
Technical Report, University of Texas at Austin.(ps.gz)

1999

Journal Publications - 1999

F. Bernardini, C. Bajaj, J. Chen and D. Schikore.
Automatic Reconstruction of 3D CAD Models from Digital Scans,.
Int. J. on Comp. Geom. and Appl. vol. 9 nos. 4-5 aug & Oct 1999, p 327-369. (ps.gz) (pdf)

C. Bajaj, R. Holt, A. Netravali
Energy Formulations for A-Splines,
Computer Aided Geometric Design vol.16 (1999) 39-59 (ps.gz) (pdf)

C. Bajaj, G. Xu
A-Splines: Local Interpolation and Approximation using G^k- Continuous Piecewise Real Algebraic Curves,
Computer Aided Geometric Design 16 (1999) pages 557-578 (ps.gz) (pdf)

C. Bajaj, E. Coyle, K-N. Lin
Tetrahedral Meshes from Planar Cross Sections,
Computer Methods in Applied Mechanics and Engineering, Vol. 179 (1999) 31-52 (ps-gz) (pdf)

Conference Presentations & Publications - 1999

C. Bajaj, I. Ihm, G-b Koo, S. Park
Parallel Ray Casting of Visible Human on Distributed Memory Architectures
In Proceedings of Joint EUROGRAPHICS - IEEE TCVG Symposium on Visualization May 26-28, 1999 Vienna, Austria. pp. 269-276 (ps) (pdf)

C. Bajaj, G. Xu
Error Bounded Regular Algebraic Spline Curves
In Proceedings of the Fifteenth Annual ACM Symposium on Computational Geometry June 1999 Miami Beach, FL., p.332-340 (ps.gz) (pdf) TICAM Report Number 99-07

C. Bajaj, S. Cutchin
Web based Collaborative Visualization of Distributed and Parallel Simulation,
In Proceedings of IEEE Parallel Visualization and Graphics Symposium. October 24-29,1999 San Francisco, CA, pages 47-54. (ps.gz) (pdf)

C. Bajaj, V. Pascucci, G. Zhuang
Progressive Compression and Transmission of Arbitrary Triangular Meshes,
In Proceedings of IEEE Visualization Conference, October 24-29,1999 San Francisco, CA, pages 307 - 316, (pdf)

C. Bajaj, V. Pascucci, D.Thompson, X.Y. Zhang
Parallel Accelerated Isocontouring for Out-Of-Core Visualization,
In Proceedings of IEEE Parallel Visualization and Graphics Symposium, October 24-29,1999 San Francisco, CA, pages 97 - 104. (ps) (pdf)

C. L. Bajaj, I. Ihm, S. Park
Making 3D Textures Practical,
In Proceedings of Pacific Graphics, October 5-7, 1999, Seoul, Korea, pages 259 - 268, (ps) (Pdf)

C. Bajaj, V. Pascucci, G. Zhuang
Single Resolution Compression of Arbitrary Triangular Meshes with Properties
Data Compression Conference 1999. Snowbird, Utah. Pages: 247-256. (pdf)

Technical Reports - 1999

C. L. Bajaj, G. Xu
Regular Algebraic Curve Segments (III) - Applications In Interactive Design And Data Fitting,
TICAM report #99-34 (ps.gz) (pdf)

C. L. Bajaj, V. Pascucci, D. R. Schikore
Seed Sets and Search Structures for Optimal Isocountour Extraction,
TICAM report #99-35 (ps.gz) (pdf)

C. Bajaj, V. Pascucci
Progressive IsoContouring,
TICAM report #99-36 (ps.gz) (pdf)

B. S. Duerstock, C. Bajaj, V. Pascucci, D. Schikore. K.-N. Lin, R.B. Borgens
Three-Dimensional Imaging of the Experimental Spinal Cord Injury,
TICAM report #99-37 (pdf)

C. Bajaj, V. Pascucci, R. Holt, A. Netravali
Active Contouring of Images with Physical A-Splines,
TICAM Report Number 99-03 (ps) (pdf)

G. Xu, H. Huang, C. Bajaj
C¹ Modeling with A-patches from Rational Trivariate Functions,
TICAM Report number 99-04 (ps) (pdf)

C. Bajaj, G. Xu
Smooth Reconstruction and Deformation of Free-Form Fat Surfaces,
submitted to ACM Tranactions on Graphics TICAM Report number 99-08 (ps.gz) (pdf)

C. L. Bajaj, V. Pascucci, A. Shamir, R. Holt, A. Netravali.
Multiresolution Molecular Shapes,
TICAM report # 99-42 (ps.gz) (pdf)

1998

Journal Publications - 1998

C. Bajaj, R. Holt, A. Netravali.
Rational Parameterizations of Nonsingular Cubic Surfaces
ACM Transactions on Graphics, 17, 1, (1998), 1 - 31.(ps.gz) (pdf)

C. Bajaj, E. Sacks
Sliced Configuration Spaces
International Journal Of Robotics Research, Vol 17, No.6 June (1998) pp 639--651. (ps) (pdf)

L. Moriarty, B. Duerstock,C. Bajaj, K. Lin, R. Borgens,
Two and Three Dimensional Computer Graphics Evaluation of the Subacute Spinal Cord Injury
Journal of Neurological Sciences, vol. 155, 121-137 (1998). (pdf)

C. Bajaj, D. Schikore
Topology Preserving Data Simplification with Error Bounds
Journal on Computers and Graphicsvol. 22.1 p 3-12 1998

Edited Books - 1998

Data Visualization Techniques,
editied by Chandrajit Bajaj, John Wiley & Sons

Book Chapters - 1998

C. Bajaj
Visualization Paradigms,
Data Visualization Techniques, editied by C. Bajaj, John Wiley and Sons (ps-gz) (pdf)

C. Bajaj, V. Pascucci, D. Schikore
Accelerated IsoContouring of Scalar Fields,
Data Visualization Techniques, edited by C. Bajaj, John Wiley and Sons (ps-gz) (pdf)

C. Bajaj
Geometric Modelling, Computing Supplement,
Edited by G. Farin, H.Bieri, G. Brunnett, T. DeRose, Springer Wein, New York, supplement 13, pages 17-26

Conference Presentations & Publications - 1998

C. Bajaj, V. Pascucci, R. Holt, A. Netravali.
Dynamic Maintenance and Visualization of Molecular Surfaces
Proceedings of the Ninth Canadian Conference on Computational Geometry, August 1998. (pdf)

C. Bajaj, V. Pascucci, G. Ribbiolo, D. Schikore.
Hypervolume Visualization: A Challenge in Simplicity
Proceeding of the IEEE/ACM 1998 Symposium on Volume Visualization pages 95-102 October 1998, Research Triangle Park, NC (pdf) (ps-gz), Color Plate (pdf) (ps-gz)

C. Bajaj, V. Pascucci, D. Schikore.
Visualization of Scalar Topology for Structural Enhancement
Proceeding of the IEEE Visualization, pages 51-58, October 1998, Research Triangle Park, NC. (pdf) (ps-gz)

Technical Reports - 1998

C. Bajaj,C. Baldazzi, S. Cutchin, A. Paoluzzi, V. Pascucci and M. Vicentino
Animations through Geometric Programming (ps) (pdf)

C. Bajaj, V. Pascucci, G. Zhuang
Compression and Coding of Large CAD Models (ps.gz) (pdf)

C. Bajaj, S. Cutchin, V. Pascucci, G. Zhuang
Error Resilient Streaming of Compressed VRML (ps.gz) (pdf)

C. Bajaj, S. Cutchin, V. Pascucci, A. Paoluzzi, C. Morgia, G. Scorzelli
Web Based Collaborative CAAD (ps.gz) (pdf)

1997

Journal Publications - 1997

C. Bajaj and G. Xu,
Spline Approximations of Real Algebraic Surfaces,
Journal of Symbolic Computation, Special Isssue on Parametric Algebraic Curves and Applications, 23, (1997), 315 - 333. (pdf) (ps)

C. Bajaj, G. Xu
Modeling and Visualization of C¹and C² Scattered Function Data on Curved Surfaces
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) (ps.gz) (pdf)

C. Bajaj, G. Xu
Piecewise Rational Approximation of Real Algebraic Curves
Journal of Computational Mathematics, vol 15, no. 1, (1997), 55-71 (ps) (pdf)

C. Bajaj, F. Bernardini, and G. Xu.,
Reconstruction of Surfaces and Functions-on-Surfaces from Unorganized Three-Dimensional Data
Algorithmica, 19, (1997), 243-261. (pdf) (ps.gz)

Book Chapters - 1997

C. Bajaj, S. Evans
Splines and Geometric Modeling
CRC Handbook of Discrete and Computational Geometry, edited by J. Goodman and J. O'Rourke, CRC Series, Discrete and Combinatorial Mathematics, (1997), 833-849 (ps.gz) (pdf)

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

C. Bajaj
Modeling Physical Fields for Interrogative Data Visualization,
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).

Conference Presentations &Publications - 1997

C. Bajaj and S. Cutchin,
Web Based Collaboration-Aware Synthetic Environments.
Proceedings of the 1997 GVU/NIST TEAMCAD workshop, Atlanta, GA, 1997, 143 - 150.

C. Bajaj, V.Pascucci, and D.Schikore,
The Contour Spectrum
Proceedings of the 1997 IEEE Visualization Conference,167-173, October 1997 Phoeniz, Arizona. (pdf)(ps.gz)

F. Bernardini and C. Bajaj,
Sampling and Reconstructing Manifolds using Alpha-Shapes.
Proc. of the Ninth Canadian Conference on Computational Geometry, 193-198, August 1997. (pdf) (ps-gz)

F. Bernardini, C. Bajaj, J. Chen, and D. Schikore.
Triangulation-based 3D reconstruction methods.
In 6th Annual Video Review of Computational Geometry, 13th ACM Symposium on Computational Geometry. ACM, 1997. (pdf) (ps.gz)

M. van Kreveld, R. van Oostrum, C. Bajaj, D. Schikore, and V. Pascucci
Contour Trees and Small Seed Sets for Isosurface Traversal,
In Proceedings Thirteenth ACM Symposium on Computational Geometry (Theory Track), (Nice, France, June 4-6, (1997), ACM Press, pp. 212-219. (pdf) (ps.gz)

C. Bajaj, H.Y. Lee, R. Merkert, V. Pascucci
NURBS based B-rep Models from Macromolecules and their Properties,
In Proceedings Fourth Symposium on Solid Modeling and Applications, Atlanta,Georgia, 1997,C. Hoffmann and W. Bronsvort Eds., ACM Press. pp. 217-228 (ps.gz)

C. Bajaj, F. Bernardini, J. Chen, D. Schikore
Triangulation Based Object Reconstruction
In Proceedings of the 13th Annual ACM Symposium on Computational Geometry, (Video Review Report), ACM Press, (1997), Nice, France

Technical Reports - 1997

C. Bajaj, F. Bernardini, S. Cutchin, K. Lin, E. Sacks and D. Schikore.
Comprehensive analysis of joints from patient clinical data.
Technical Report CSD-97-019, Department of Computer Sciences, Purdue University, 1997. (pdf) (ps.gz)

1996

Journal Publications - 1996

C. L. Bajaj
Interrogative Visualization
Geometric Modeling computing suppl. 13, 17-26(1998)

C. Bajaj, E. Coyle, K. Lin
Arbitrary Topology Shape Reconstruction from Planar Cross Sections
Graphical Models and Image Processing,, vol. 58, no. 6 (1996), 524-543 (ps.gz) (pdf)

Book Chapters - 1996

C. Bajaj
The Combinatorics of Real Algebraic Splines over a Simplicial Complex
Real Number Algorithms, edited by J. Renegar, M. Shub, and S. Smale, AMS Lecture Notes in Mathematics, (1996) (ps)

C. Bajaj
Free-Form Modeling with Implicit Surface Patches
Implicit Surfaces, edited by J. Bloomenthal abd B. Wyvill, Morgan Kaufman Publishers, (1996) (ps.gz) (pdf)

Conference Presentations & Publications - 1996

C. Bajaj, with D. Schikore
Error-Bounded Reduction of Triangle Meshes with Multivariate Data
Proceedings: Visual Data Exploration and Analysis III, SPIE vol 2656, (1996), 34-45 ( ps.gz ) (pdf )

C. Bajaj, V. Pascucci
Splitting a Complex of Convex Polytopes in Any Dimension
Proceedings: 12th Annual ACM Symposium on Computational Geometry, ACM Press, (1996), Philadelphia, PA, 88-97 ( ps.gz ) (pdf )

C. Bajaj, V. Pascucci, D. Schikore
Fast Isocontouring for Improved Interactivity
Proceedings: ACM Siggraph/IEEE Symposium on Volume Visualization, ACM Press, (1996), San Francisco, CA. Pages: 39-46 (text) 99 (color plate)( ps.gz )

C. Bajaj, F. Bernardini, J. Chen, D. Schikore
Automatic Reconstruction of 3D CAD Models
Proceedings: International Conference on Theory and Practice of Geometric Modeling, Blaubeuren, (1996), Springer-Verlag. ( ps.gz ) (pdf )

C. Bajaj, F. Bernardini, E. Sacks, D. Schikore, K. Lin
Physical Simulation of the Visible Human Joints
The Visible Human Project Conference, 1996.

C. Bajaj, F. Bernardini, V. Pascucci, D. Schikore
Interrogative Visualization of the Visible Human Datasets
The Visible Human Project Conference, 1996.

C. Bajaj, E. Coyle, K. Lin
Bounary and 3D Triangular Meshes from Planar Cross Sections
Proceedings: The Fifth International Meshing Roundtable, Sandia National Lab., Sandia Report SAND96-2301, UC-405, (1996), Pittsburgh, PA, 169-178.

C. Bajaj, N. Osumi, M. Shinya, T. Mori, T. Sunaga, D. Cutchin, R. Merkert
NLS: Collaborative Virtual Environment to Promote Shared Awareness
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), pg 41-45

C. Bajaj
Computational Geometry for Interrogative Visualization
Canadian Conference on Computational Geometry 1996. Ottawa, Ontario, Canada. Pages 99-100.

Technical Reports - 1996

D. Schikore, C. Bajaj
Visualization of Scalar Topology for Structural Enhancement
Technical Report 96-006, Purdue University, Computer Sciences (1996)
( ps.gz ) (pdf ), Plate page 7 ( ps.gz ) (pdf ), Plate page 8 ( ps.gz ) (pdf )

C. Bajaj, Peinan Zhang
Object Based Constraint Management for Collaborative Systems
Technical Report 96-039, Purdue University, Computer Sciences(1996) ( ps.gz ) ( pdf )

C. Bajaj, F. Bernardini, J. Chen, D. Schikore
Automatic Generation of 3D CAD Models
Technical Report 96-015, Purdue University, Computer Sciences(1996)

C. Bajaj, V. Pascucci, D. Schikore
Fast Isocontouring for Improved Interactivity
Technical Report 96-024, Purdue University, Computer Sciences(1996) ( ps.gz )

C. Bajaj, J. Chen, R. Holt, A. Netravali
Energy Formulations of A-Splines
Technical Report 96-031, Purdue University, Computer Sciences(1996)

1995

Journal Publications - 1995

C. Bajaj, A. Royappa
Finite Representations of Real Parametric Curves and Surfaces
Modeling in Computer Graphics, ed. by B. Falcidieno, T. Kunii,
Updated version: International Journal of Computational Geometry and Applications, 5, 3, (1995), 313-326.
Proceedings: IFIP TC 5/WG 5.10 II Conference on Geometric Modeling in Computer Graphics, (1993), Springer Verlag, 347-358.

C. Bajaj, J. Chen, G. Xu
Modeling with Cubic A-patches
ACM Transactions on Graphics, 14, 2, April,(1995), 103-133.
Proceedings: Graphics Interface '94, (1994), Vancouver, Canada, Canadian Information Processing Society, 174-191.(Presented as: Free-Form Surface Design with A-Patches) ( ps.gz ) (pdf )

C. Bajaj, F. Bernardini, G. Xu
Automatic Reconstruction of Surfaces and Scalar Fields from 3D Scans
Proceedings: Computer Graphics (1995), Annual Conference Series, SIGGRAPH 95, ACM SIGGRAPH, 109-118 ( ps.gz ) (pdf )

Edited Books - 1995

C. Bajaj
Algebraic Geometry and Its Applications: A Collection of Papers from Shreeram S. Abhyankar's 60th Birthday Conference
Springer Verlag, 1995, NY (ISBN: 0387941762)

Book Chapters - 1995

C. Bajaj
Some Applications of Constructive Real Algebraic Geometry
Algebraic Geometry and Applications, Special Issue of: Sybmposium on the Occasion of Shreeram Abhyankar's 60th Birthday, editied by C. Bajaj, Springer Verlag. Chapter 25, 393-405

C. Bajaj, V. Anupam, D. Schikore
Custom Prosthesis Design and Prototyping Using Multimedia
Multimedia Medical Education, edited by Roy Rada and Claude Ghaoui, Intellect Books, Oxford, England, (1995), chapter 3, 39-47, ISBN 1-871516-63-3.

C. Bajaj, G. Xu
Sparse Smooth Connection between Bezier/Bspline Curves
Graphics Gems V, edited by A. Paeth, Academic Press, New York, (1995), chapter IV.6, 191-198.

C. Bajaj
Interactive Visualization of Multidimensional Data
Computer Graphics and Applications, edited by S. Y. Shin, T. Kunii, World Scientific Publishing, (Invited Paper), (1995), 63-77 ( ps.gz ) (pdf )

Conference Presentations & Publications - 1995

C. Bajaj, S. Cutchin
Collaborative Multimedia in SHASTRA
3rd International Conference on Multimedia, 1995. San Francisco, CA. Pages 365-366.

C. Bajaj, J. Chen, G. Xu
Interactive Shape Control and Rapid Display of A-Patches
Eurographics International Workshop on Implicit Surfaces, Grenoble, France, (1995), 197-215
( ps.gz ) (pdf )

C. Bajaj, P. Zhang, A. Chaturvedi
Brokered Collaborative Infrastructure for CSCW
Proceedings: Fourth IEEE Workshop on Enabling Technologies: Infrastructure for Collaborative Enterprises, Berkeley Springs, West Virginia, IEEE Computer Society Press, (1995), 207-214) ( ps.gz ) (pdf )

C. Bajaj, F. Bernardini
Distributed and Collaborative Synthetic Environments
Human-Computer Interaction and Virtual Environments
number 3320,NASA Conference Publication, Hampton, Virginia, April 1995. NASA. ( ps.gz ) (pdf )

C. Bajaj, F. Bernardini, J. Chen, G. Xu
C¹ and C² Reconstruction of Surfaces and Scalar Fields
Fourth SIAM Conference on Geometric Design, Nashville, TN, (Nov. 1995)

C. Bajaj, J. Chen, G. Xu
Modeling with C² Quintic A-patches
Fourth SIAM Conference on Geometric Design, Nashville, Tennesse, (Nov. 1995) (ps.gz) (pdf)

Technical Reports - 1995

C. Bajaj, F. Bernardini, G. Xu
Adaptive Reconstruction of Surfaces and Scalar Fields from Dense Scattered Volumetric and Manifold Data
Technical Report 95-028, Purdue University, Computer Sciences (1995) ( pdf) ( ps.gz)

D. Schikore, C. Bajaj
Decimation of 2D Scalar Data with Error Control
Technical Report, Feb 1995 , Purdue University, Computer Sciences (1995)
( pdf) ( ps.gz), plates,pages 7-9 ( pdf) (ps.gz)

1994

Journal Publications - 1994

C. Bajaj, G. Xu
NURBS Approximation of Surface/Surface Intersection Curves
Advances in Computational Mathematics, 2, 1,1-21 (1994) ( pdf) ( ps.gz) .

V. Anupam, C. Bajaj
Collaborative Multimedia in Scientific Design
Updated version: IEEE Multimedia, 1, 2, (1994), 39-49.
Proceedings: First ACM Multimedia Conference, ACM MULTIMEDIA 93, Anaheim, California, ACM Press, (1993), 447-456. 0 ( pdf) ( ps.gz)

V. Anupam, C. Bajaj, F. Bernardini, S. Cutchin, J. Chen, D. Schikore, G. Xu, P. Zhang, and W. Zhang
Scientific Problem Solving in a Distributed and Collaborative Multimedia Environment
Mathematics and Computers in Simulation, 36, 433-542, North Holland, (1994). (Special Issue on Problem Solving Environments for Computational Science and Engineering, edited by E. Houstis.) ( pdf) ( ps.gz)

V. Anupam, C. Bajaj, D. Schikore, M. Schikore
Distributed and Collaborative Volume Visualization
IEEE Computer, 27, 7, (July, 1994) 37-43. ( pdf) ( ps.gz)

C. Bajaj, V. Anupam
SHASTRA - An Architecture for Development of Collaborative Applications
Updated version: International Journal of Intelligent and Cooperative Information Systems, 3, 2, (1994), 155-172.s Proceedings: Second IEEE Workshop on Enabling Technologies: Infrastructure for Collaborative Enterprises, Morgantown, West Virginia, IEEE Computer Society Press, (1993), 155-166.

Book Chapters - 1994

C. Bajaj
Using Algebraic Geometry for Multivariate Polynomial Interpolation
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

C. Bajaj, G. Xu
Converting a Rational Curve to a Standard Rational Bezier Representation
Graphics Gems IV, edited by P. Heckbert, Academic Press, New York, (1994), 256-260

C. Bajaj, G. Xu
Rational Spline Approximations of Real Algebraic Curves and Surfaces
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

C. Bajaj, G. Xu
Modeling Scattered Function Data on Curved Surfaces
Fundamentals of Computer Graphics, edited by J. Chen, N. Thalmann, Z. Tang, and D. Thalmann, World Scientific Publishing Co., (1994), 19-29. ( pdf) (ps.gz)

Conference Presentations & Publications - 1994

C. Bajaj, J. Chen, G. Xu
Free-Form Surface Design with A-Patches
Proceedings: Graphics Interface '94, GI94, Vancouver, Canada, Canadian Information Processing Society (1994), 174-191. (Full version with revised title "Modeling with Cubic A-Patches", ACM Transactions on Graphics, 14, 2, April,(1995), 103-133.) ( ps.gz ) (pdf )

C. Bajaj, G. Xu, T. Dey
Constructive Solid Geometry on a MIMD Distributed-Memory Machines
Proceedings: Set-theoretic Solid Modeling Techniques and Applications, CSG94, Information Geometers Press, Winchester, U.K. (1994), 213-223

C. Bajaj, G. Xu
Data Fitting with Cubic A-splines
Proceedings: Computer Graphics International, CGI94, Melbourne, Australia, (1994) ( pdf) ( ps.gz)

C. Bajaj, D. Schikore, G. Xu
Distributed Volume Modeling and Collaborative Visualization
Proceedings: Fifth Eurographics Workshop on Visualization in Scientific Computing, Rostock, Germany, (1994) ( pdf) ( ps.gz)

C. Bajaj, D. Schikore
Custom Prosthesis Design, Visualization, and Prototyping
SPIE, vol 2359, (1994), 504-510.
Proceedings: Visualization in Biomedical Computing, VBC94, (1994) pp. 504-510, Oct 4-7, 1994, Rochester, MN ( pdf) ( ps.gz)

C. Bajaj, A. Royappa
Triangulation and Display of Arbitrary Rational Parametric Surfaces
Proceedings: IEEE Visualization '94 Conference, Washington, DC, edited by R. Bergeron, A. Kaufman, IEEE Computer Society Press, (1994), 69-76 ( pdf) ( ps.gz)

C. Bajaj
Distributed medical modeling, design prototyping and collaborative visualization
Proceedings: Applications of Computer Vision in Medical Image Processing, AAAI 1994 Spring Symposium, AIM-94, Stanford, CA, (1994)

C. Bajaj, K. Lin
Scalar Field Modeling and Visualization on the Intel Delta
Proceedings: Intel Supercomputing User's Group, ISUG '94, June, (1994), San Diego, CA. Technical Report 94-039, Purdue University, Computer Sciences (6/94)
( pdf) ( ps.gz)

C. Bajaj
Reconstructing and Visualizing Scalar Fields in Three Dimensions
Proceedings: The 14th IMACS World Congress on Computational and Applied Mathematics, ed. by W. Ames, vol. 3, 1994, 1092-1095

C. Bajaj
Distributed modeling and visualization of timed clinical data
Proceedings: The Artificial Intelligence in Medicine, AAAI 1994 Spring Symposium, AIM-94, Stanford, CA, (1994)

C. Bajaj, F. Bernardini, S. Cutchin, K. Sugihara
Path-planning for a mobile robot sweeper
Presented at: The 2-nd Workshop on Robot Motion Planning, L'Escala, Spain, October 1994.

C. Bajaj, G. Xu, T. Dey
Constructive Solid Geometry on a MIMD Distributed-Memory Machines
Proceedings: Set-theoretic Solid Modeling Techniques and Applications, CSG94, Information Geometers Press, Winchester, U.K. (1994), 213-223

Technical Reports - 1994

C. Bajaj
Polynomial surface patch Representations
Technical Report 94-038 (25 pages), Purdue University, Computer Sciences (5/94)

C. Bajaj, F. Bernardini, K. Sugihara
A Geometric Approach to Molecular Docking and Similarity
Technical Report 94-017 (20 pages), Purdue University, Computer Sciences (3/94) ( pdf) ( ps.gz)

C. Bajaj. G. Xu
Converting a rational surface to a standard rational bernstein-bezier surface
Technical Report 94-044 (7 pages), Purdue University, Computer Sciences (6/94)

C. Bajaj, J. Chen, G. Xu
Smooth Low Degree Approximations of Polyhedra
Technical Report 94-002 (24 pages), Purdue University, Computer Sciences (1/94) ( ps.gz)

V. Anupam, C. Bajaj, P. Zhang
Cooperating Brokers to Support Cooperative Work
Technical Report 94-009, Purdue University, Computer Sciences (2/94)

1993

Journal Publications - 1993

C. Bajaj, J. Canny, T. Garrity, J. Warren
Factoring Rational Polynomials over the Complexes
Updated version: Siam Journal on Computing, 22, 2, (1993), 318-331.
Proceedings: The International Symposium on Symbolic and Algebraic Computation, (ISSAC-89), Portland, Oregon, 81-90.

C. Bajaj, I. Ihm, J. Warren
Higher Order Interpolation and Least Squares Approximation Using Implicit Algebraic Surfaces
ACM Transactions on Graphics, 12, 4, (1993), 327-347

Book Chapters - 1993

C. Bajaj
The Emergence of Algebraic Curves and Surfaces in Geometric Design
Directions in Geometric Computing, edited by R. Martin, Information Geometers Press, United Kingdom (1993), Chapter 1, 1-29.

Conference Presentations & Publications - 1993

C. Bajaj
Multi-dimensional Hermite Interpolation and Approximation for Modeling and Visualization
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 ( pdf) ( ps.gz)

C. Bajaj, D. Schikore
The Distributed Design of a Hip Prosthesis using BHAUTIK
Proceedings: The 1993 ACM/SIGAPP Symposium on Applied Computing, (1993), Indianapolis, Indiana, ACM Press, 36-39

C. Bajaj, M. Fields
The VAIDAK Medical Image Model Reconstruction Toolkit
Proceedings: The 1993 ACM/SIGAPP Symposium on Applied Computing, (1993), Indianapolis, Indiana, ACM Press, 28-35

C. Bajaj, I. Ihm
Low Degree Approximations of Surfaces for Revolved Objects
Proceedings: Graphics Interface '93, (1993) Toronto, Canada, Canadian Information Processing Society, 33-41

C. Bajaj, S. Cutchin
The GATI Client-Server Animation Toolkit
Proceedings: Computer Graphics International, CGI93, Communicating with Virtual Worlds, edited by N. Thalmann and D. Thalmann, Springer Verlag, (1993), 413-423

C. Bajaj
Distributed and Collaborative Modeling and Visualization
Proceedings: The IEEE Visualization '93 Workshop on Intelligent Visualization Systems, San Jose, Ca, Chapter 12, (1993)

V. Anupam, C. Bajaj, S. Cutchin, S. Evans, I. Ihm, J. Chen, A. Royappa, D. Schikore and G. Xu,
Scientific Problem Solving in a Distributed and Collaborative Geometric Environment
3rd International Conference on Expert Systems for Numerical Computing, May 17-19, 1993, West Lafayette, IN

Technical Reports - 1993

C. Bajaj, J. Chen, S. Evans
Distributed modeling and rendering of splines using ganith
Technical Report 93-006 (29 pages), Purdue University, Computer Sciences (1/93)

V. Anupam, C. Bajaj
Collaborative multimedia game environments
Technical Report 93-086 (13 pages), Purdue University, Computer Sciences (12/93)

C. Bajaj. G. Xu
Trivariate interpolation for scientific visualization
Technical Report 93-032, Purdue University Computer Sciences,(6/93)

1992

Journal Publications - 1992

C. Bajaj, I. Ihm
Hermite interpolation with real algebraic surfaces
Updated version C. Bajaj, title Algebraic Surface Design with Hermite Interpolation): ACM Transactions on Graphics, 19, 1, (1992), 61-91.
Proceedings: 5th Annual ACM Symposium on Computational Geometry, Saarbrucken, West Germany, (1989), 94-103.

C. Bajaj, T. Dey
Robust Decompositions of Polyhedra
Updated version C. Bajaj, title Convex Decompositions of Polyhedra and Robustness): Siam Journal on Computing, 21, 2, (1992), 339-364.
Proceedings: Ninth Conference on Foundations of Software Technology and Theoretical Computer Science, Lecture Notes in Computer Science, No. 405, Springer-Verlag, (1989), 267-279.

C. Bajaj, T. Dey, and K. Sugihara
On Good Triangulations in Three Dimensions
Updated version: International Journal of Computational Geometry and Applications, 2, 1, (1992), 75-95.
Proceedings: The ACM Symposium on Solid Modeling Foundations and CAD/CAM Applications, (1991), 131-141.

C. Bajaj, I. Ihm
Smoothing of Polyhedra with Implicit Algebraic Splines
Computer Graphics, 26, 2, (1992), 79-88.
Proceedings: 1992 ACM Symposium on Graphics, SIGGRAPH 92, Chicago, Illinois,

C. Bajaj, T. Dey, K. Sugihara
Delaunay Triangulations in Three Dimensions with Finite Precision Arithmetic
Computer Aided Geometric Design, 9, (1992), 457-470

Book Chapters - 1992

C. Bajaj
Surface Fitting with Implicit Algebraic Surface Patches
Topics in Surface Modeling, edited by H. Hagen, SIAM Publications, (1992), Chapter 2, 23-52

Conference Presentations & Publications - 1992

C. Bajaj, A. Royappa
Robust Display of Arbitrary Rational Parametric Surfaces
Curves and Surfaces in Computer Vision and Graphics III,
Proceedings: Symposium on Electronic Imaging Science Technology, Boston, Massachusetts, vol. 1830, (1992), 70-80

C. Bajaj, A. Royappa
Parameterization in Finite Precision
Proceedings: Graphics Interface'92, (1992), Vancouver, Canada, Canadian Information Processing Society, 29-36.

C. Bajaj
Algebraic Surface Design and Finite Element Meshes
Proceedings: The NASA Workshop on Software Systems for Surface Modeling and Grid Generation, NASA Langley Research Publication 3143, (1992), 121-131.

Technical Reports - 1992

C. Bajaj, G. Xu
A-splines: Local interpolation and approximation using continuous piecewise real algebraic curves
Technical Report 92-095, Purdue University, Computer Sciences (12/92)

C. Bajaj, K. Sugihara
Geometric search and replace in solid modeling editing
Technical Report 92-078 (11 pages), Purdue University, Computer Sciences (10/14/92)

V. Anupam, C. Bajaj
The shilp solid modeling and display toolkit in v 1.1
Technical Report 92-072 (43 pages) (supersedes 91-064), Purdue University, Computer Sciences (10/92) ( pdf) ( ps.gz)

1991

Conference Presentations & Publications - 1991

C. Bajaj
Electronic Models of the Human Anatomy
Curves and Surfaces in Computer Vision and Graphics II,
Proceedings: Symposium on Electronic Imaging Science Technology, Boston, Massachusetts, vol. 1610, (1991), 230-237

Technical Reports - 1991

Bailey B., C. Bajaj, M. Fields
The Vaidak Medical Imaging and Model Reconstruction Toolkit
Technical Report 91-066 (21 pages), Purdue University, Computer Sciences (8/30/91) ( pdf) ( ps.gz)

V. Anupam, C. Bajaj, M. Fields, A. Royappa
Portable 3D Graphics in a Heterogeneous Distributed Environment
Technical Report 91-074 (7 pages), Purdue University, Computer Sciences (10/17/91)

V. Anupam, C. Bajaj, A. Burnett, M. Fields, A. Royappa, D. Schikore
XS: A Hardware Independent Graphics and Windowing Library
Technical Report 91-062 (16 pages), Purdue University, Computer Sciences (8/28/91) CAPO-91-28 1991

1990

Journal Publications - 1990

C. Bajaj, M. Kim
Compliant Motion Planning with Geometric Models
Updated Version with title Generation of Configuration Space Obstacles: The Case of Moving Algebraic Surfaces): International Journal of Robotics Research, 9, 1, (1990), 92-112.
Proceedings: 3rd ACM Symposium on Computational Geometry, Waterloo, Canada, (1987), 171-180.

C. Bajaj, M. Kim
Convex Hull of Curved Objects bounded by Algebraic Curves
Algorithmica, (1990), 6, 4, 533 -553

J. Johnstone, C. Bajaj
Sorting along an Algebraic Curve with Applications
Siam Journal on Computing, (1990), 5, 925-967

C. Bajaj
Rational Hypersurface Display
Computer Graphics, 24, 2, (1990), 117-128.
Proceedings: 1990 ACM Symposium on Interactive 3D Graphics, Snowbird, Utah

C. Bajaj, T. Dey
Robust Computations of Polygon Nesting
Updated version: Information Processing Letters, 5, 1, (1990), 23-32.
Proceedings: International Workshop on Discrete Algorithms and Complexity, Fukuoka, Japan, (1989), 33-40

Book Chapters - 1990

C. Bajaj
Geometric Modeling with Algebraic Surfaces
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,

Conference Presentations & Publications - 1990

C. Bajaj, A. Royappa
The GANITH Algebraic Geometry Toolkit
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.

C. Bajaj
Geometric Computations with Algebraic Varieties of Bounded Degree
Proceedings: 6th Annual ACM Symposium on Computational Geometry, (1990) Berkeley, California, 148-156. ( pdf) ( ps.gz)

C. Bajaj, W. Bouma
Dynamic Voronoi Diagrams and Delaunay Triangulations
Proceedings: The 2nd Annual Canadian Conference on Computational Geometry, (1990), Ottawa, Canada, 273-277.

C. Bajaj
G1 Interpolation Using Piecewise Quadric and Cubic Surfaces
Curves and Surfaces in Computer Vision and Graphics,
Proceedings: Symposium on Electronic Imaging Science Technology, Santa Clara, California, (1990), 82-93.

Technical Reports - 1990

C. Bajaj,
Parametric, and Surface. Unifying Parametric and Implicit Surface Representations for Computer Graphics: Surface Display and Algebraic Fitting
Technical Report 995 (25 pages), Purdue University, Computer Sciences (7-18-90)

1989

Journal Publications - 1989

C. Bajaj, M. Li
Geometric Optimization and Completeness
Discrete and Computational Geometry, 4, 1, (1989), 3-13.
Abstract appears in Zentralblatt fur Mathematik

C. Bajaj, M. Kim
Generation of Configuration Space Obstacles: The Case of Moving Algebraic Curves
Updated version: Algorithmica, 4, 2, (1989), 157-172.
Proceedings: 1987 IEEE International Conference on Robotics and Automation, Raleigh, North Carolina, (April 1987), 979-984

C. Bajaj, S. Abhyankar
Automatic Parameterization of Rational Curves and Surfaces IV: Algebraic Space Curves
ACM Transactions on Graphics, 8, 4, (1989), 324-333.

Conference Presentations & Publications - 1989

C. Bajaj, S. Abhyankar
Computations with Algebraic Curves
Proceedings: International Symposium on Symbolic and Algebraic Computation, ISSAC88, Lecture Notes in Computer Science, No. 358, Springer-Verlag, (1989), 279-284.

C. Bajaj
Local Parameterization, Implicitization and Inversion of Real Algebraic Curves
Proceedings: The International Conference on Applied Algebra, Algebraic Algorithms, And Error Correcting Codes, (AAECC-7), (1989), Toulouse, France

Technical Reports - 1989

C. Bajaj
Quadric and Cubic Hypersurface Parameterization
Technical Report 881, Purdue University, Computer Sciences (4/27/89)

R. Patterson, C. Bajaj
Curvature Adjusted Parameterization of Curves
Technical Report 907 (16 pages), Purdue University, Computer Sciences (9/19/89)

1988

Journal Publications - 1988

C. Bajaj
The Algebraic Degree of Geometric Optimization Problems
Discrete and Computational Geometry, 3, 2, (1988), 177-191.

C. Bajaj, T. Moh
Generalized Unfoldings for Shortest Paths in Euclidean 3-Space
International Journal of Robotics Research, 7:1, (1988), 71-76.

C. Bajaj, M. Kim
Generation of Configuration Space Obstacles : The Case of Moving Spheres
IEEE Journal of Robotics and Automation, 4, 1, (1988), 94-99

C. Bajaj, M. Wu, C. Liu
A Face Area Evaluation Algorithm for Solids
Computer Aided Design, 20, 2, (1988), 75-82.

C. Bajaj, C. Hoffmann, J. Hopcroft, R. Lynch
Tracing Surface Intersections
Computer Aided Geometric Design, 5, (1988), 285-307.

C. Bajaj, S. Abhyankar
Automatic Parameterization of Rational Curves and Surfaces III: Algebraic Plane Curves
Computer Aided Geometric Design, 5, (1988), 309-321.

Conference Presentations & Publications - 1988

C. Bajaj, M. Kim
Algorithms for Planar Geometric Models
Proceedings: The Fifteenth International Colloquium on Automata, Languages and Programming, ICALP 88,
Lecture Notes in Computer Science, Springer-Verlag, 317, (1988), 67-81

C. Bajaj, W. Dyksen, C. Hoffmann, E. Houstis, T. Korb, J. Rice
Computing About Physical Objects
Proceedings: The 12th IMACS World Congress, Paris, (1988), 642-645.

C. Bajaj
Mathematical Techniques in Solid Modeling
Proceedings: International Conference on Computer Integrated Manufacturing, RPI Troy, NY, (1988), 290-295.

Technical Reports - 1988

C. Bajaj
Approximation Methods for Algebraic Curves and Surfaces
Technical Report 822, Purdue University, Computer Sciences (11/15/88)

C. Bajaj
Algorithmic Implicitization of Algebraic Curves and Surfaces
Technical Report 742 (supersedes tr 681), Purdue University, Computer Sciences (2/5/88)

C. Bajaj, T. Garrity, J. Warren
On the Applications of Multi-Equational Resultants
Technical Report 826, Purdue University, Computer Sciences (11/21/88)

1987

Journal Publications - 1987

C. Bajaj
Geometric Optimization and the Polynomial Hierarchy
Updated invited version in Theoretical Computer Science, 54, (1987), 87-102.
Proceedings: Fifth Conference on Foundations of Software Technology and Theoretical Computer Science, Lecture Notes in Computer Science, 206, Springer-Verlag, (1985), 176-195. 0

C. Bajaj, M. Atallah
Efficient Algorithms for Common Transversals
Information Processing Letters, 25, 2, (1987), 87-91.

C. Bajaj, S. Abhyankar
Automatic Parameterization of Rational Curves and Surfaces II: Cubics and Cubicoids
Computer Aided Design, 19, 9, (1987), 499-502

S. Abhyankar, C. Bajaj
Automatic Parameterization of Rational Curves and Surfaces I: Conics and Conicoids
Computer Aided Design, 19, 1, (1987), 11-14

C. Bajaj, M. Kim
Generation of Configuration Spaces III: The Case of Moving Algebraic Curves
Proceedings: IEEE International; Conference on Robotics and Automation, Raleigh, NC, Apri, 1987, 979-984
Updated version: Algorithmica, 4,2.1989, 157-172

Technical Reports - 1987

C. Bajaj, Royappa
A Note on an Efficient Implementation of the Sylvester Resultant for Multivariate Polynomials
Technical Report 718, Purdue University, Computer Sciences (10/23/87)

1986

Journal Publications - 1986

C. Bajaj
Proving Geometric Algorithm Non-Solvability: An Application of Factoring Polynomials
Journal of Symbolic Computation, 2, (1986), 99-102

Conference Presentations & Publications - 1986

C. Bajaj
Limitations to Algorithmic Solvability: Galois Methods and Models of Computation
Proceedings: ACM Symposium on Symbolic and Algebraic Computation, SYMSAC86, Waterloo, Canada, (1986), 71-76

C. Bajaj
An Efficient Parallel Solution for Euclidean Shortest Paths in 3-Dimensions
Proceedings: 1986 IEEE International Conference on Robotics and Automation, San Francisco, California, (1986), 1897-1900

1985

Conference Presentations & Publications

C. Bajaj
The Algebraic Complexity of Shortest Paths in Polyhedral Spaces
Proceedings: 23rd Annual Allerton Conference on Communication, Control and Computing, Monticello, Illinois, (1985), 510-517.

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