Journal Publications - 2006

Y. Zhang, C. Bajaj
Adaptive and Quality Quadrilateral/Hexahedral Meshing from Volumetric Data
Computer Methods in Applied Mechanics and Engineering, Volume 195, Issues 9-12, 1 February 2006, Pages 942-960. (pdf) (abstract)

X. Zhang, C. Bajaj, B. Kwon, T. Dolinsky, J. Nielsen, N. Baker
Application of New Multiresolution Methods for the Comparison of Biomolecular Electrostatic Properties in the Absence of Structural Similarity
Multiscale Modeling and Simulation, 2006. Accepted. (pdf) (abstract)

M. Baker, Z. Yu, W. Chiu, C. Bajaj
Automated Segmentation of Molecular Subunits in Electron Cryomicroscopy Density Maps
Journal of Structural Biology, 2006. Accepted. (pdf)

G. Xu, Q. Pan, C. Bajaj
Discrete Surface Modelling Using Partial Differential Equations
Computer Aided Geometric Design, Volume 23/2, pp 125-145, 2005. (pdf) (abstract)

S. Park, C. Bajaj
Feature Selection of 3D Volume Data through Multi-Dimensional Transfer Functions
Pattern Recognition Letters, 2006, to appear (pdf) (abstract)

C. Bajaj, A. Paoluzzi, G. Scorzelli
Progressive Conversion from B-rep to BSP for Streaming Geometric Modeling
Computer-Aided Design and Applications, 3, 5, 577-586, 2006. (pdf) (abstract)

Y. Zhang, G. Xu, C. Bajaj
Quality Meshing of Implicit Solvation Models of Biomolecular Structures
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. (pdf) (abstract)

B. Sohn, C. Bajaj
Time-Varying Contour Topology
IEEE Transactions on Visualization and Computer Graphics (TVCG), 12, 1, 14-25, 2006. (pdf) (abstract)

C. M. Shepherd, I. A. Borelli, G. Lander, P. Natarajan, V. Siddavanahalli, C. Bajaj, J. E. Johnson, C. L. Brooks, III, V. S. Reddy
VIPERdb: a relational database for structural virology
Nucl. Acids Res. 34 (Database Issue), 2006 (pdf) (abstract)

Conference Presentations & Publications - 2006

S. Goswami, T. K. Dey, C. L. Bajaj
Identifying Flat and Tubular Regions of a Shape by Unstable Manifolds
Proc. 11th ACM Sympos. Solid and Physical Modeling, pp. 27-37, 2006. (pdf) (abstract)

Y. Zhang, Y. Bazilevs, S. Goswami, C. Bajaj, T. J.R. Hughes
Patient-Specific Vascular NURBS Modeling for Isogeometric Analysis of Blood Flow
Proceedings of 15th International Meshing Roundtable, accepted, 2006.

Journal Publications - 2005

Y. Zhang, C. Bajaj, B. Sohn
3D Finite Element Meshing from Imaging Data
Computer Methods in Applied Mechanics and Engineering (CMAME) on Unstructured Mesh Generation, 194, 48-49, 5083-5106, 2005. (pdf) (abstract)

C. Bajaj
A Laguerre Voronoi Based Scheme for Meshing Particle Systems
Japan Journal of Industrial and Applied Mathematics, (JJIAM), vol. 22, No. 2, Pages 167-177, June 2005. (pdf) (abstract)

Z. Yu, C. Bajaj
Automatic Ultra-structure Segmentation of Reconstructed Cryo-EM Maps of Icosahedral Viruses
IEEE Transactions on Image Processing: Special Issue on Molecular and Cellular Bioimaging, 2005 Sep;14(9):1324-37. (pdf) (abstract)

C. Bajaj, J. Castrillon-Candas, V. Siddavanahalli, Z. Xu
Compressed Representations of Macromolecular Structures and Properties
Structure, Volume 13, Issue 3, March 2005, Pages 463-471. (pdf) (abstract)

D. Zhang, J. Suen, Y. Zhang, Y. Song, Z. Radic, P. Taylor, M. Holst, C. Bajaj, N. Baker, J. McCammon
Tetrameric Mouse Acetylcholinesterase: Continuum Diffusion Rate Calculations by Solving the Steady-State Smoluchowski Equation Using Finite Element Methods
Biophys. J. 88, 1659-1665 (2005). (pdf) (abstract)

Book Chapters - 2005

C. Bajaj
Geometric Modeling and Quantitative Visualization of Virus Ultrastructure
Modeling Biology: Structures, Behaviors, Evolution, Edited L. da Fontoura Costa and M. Laublichler, MIT Press, 2005, (to appear). (pdf)

C. Bajaj, Z. Yu
Geometric Processing of Reconstructed 3D Maps of Molecular Complexes
Handbook of Computational Molecular Biology, Edited by S. Aluru, Chapman & Hall/CRC Press, Computer and Information Science Series, December 21, 2005, ISBN: 1584884061. (pdf) (abstract)

Conference Presentations & Publications - 2005

B. Kang, I. Ihm, C. Bajaj
Extending the Photon Mapping Method for Realistic Rendering of Hot Gaseous Fluids
Computer Animation and Virtual Worlds (CASA 2005), 16, 3, 353-363. (pdf) (abstract)

Y. Zhang, C. Bajaj, G. Xu
Surface Smoothing and Quality Improvement of Quadrilateral/Hexahedral Meshes with Geometric Flow
Proceedings of 14th International Meshing Roundtable, pp. 449-468. San Diego, CA. September 11-14, 2005. (pdf)

Journal Publications - 2004

C. Bajaj, G. Xu
Adaptive Surfaces Fairing by Geometric Diffusion
Geometric Modeling: Techniques, Applications, Systems and Tools, 2004, M. Sarfraz(ed), Kluwer Academic Publishers, ISBN: 1-4020-1817-7, Pages 32-49. (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)

Y. Song, Y. Zhang, C. Bajaj, N. Baker
Continuum Diffusion Reaction Rate Calculations of Wild Type and Mutant Mouse Acetylcholinesterase: Adaptive Finite Element Analysis
Biophysical Journal, 87(3):1558-1566, 2004. (pdf)

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)

Y. Song, Y. Zhang, T. Shen, C. Bajaj, J. McCammon, N. Baker
Finite Element Solution of the Steady-State Smoluchowski Equation for Rate Constant Calculations
Biophysical Journal, 86(4):2017-2029, 2004. (pdf) (abstract)

C. Bajaj, I. Ihm, J. Min, J. Oh
SIMD Optimization of Linear Expressions for Programmable Graphics Hardware
Computer Graphics Forum, 23, 4(2004), 1-18. (pdf)

B. Sohn, C. Bajaj, V. 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", 96(3), Pages 435-452, 2004. (pdf) (abstract)

Book Chapters - 2004

M. van Kreveld, R. van Oostrum, C. Bajaj, V. Pascucci, D. Schikore
Contour Trees and Small Seed Sets for Isosurface Generation
Topological Data Structures for Surfaces
Chap5, pp. 71-86, 2004. ed. by S. Rana, John Wiley & Sons, Ltd, 2004.

C. Bajaj
Splines and Geometric Modeling
Handbook of Discrete and Computational Geometry, (2004), Chap. 53, 1187-1206.

S. Park, C. Bajaj, I. Ihm
Visualization of Very Large Oceanography Time-Varying Volume Datasets
Lecture Notes in Computer Science (LNCS), ed. by M. Bubak et. al., ICCS 2004, Volume 3037, 2004, Pages 419-426, Springer-Verlag Heidelberg. (pdf)

Conference Presentations & Publications - 2004

Z. Yu, C. Bajaj
A Fast and Adaptive Algorithm for Image Contrast Enhancement
Proceedings of 2004 IEEE International Conference on Image Processing (ICIP'04), Volume 2, Oct. 24-27 2004, Pages 1001-1004, Singapore. (pdf) (ps) (abstract)

C. Bajaj
A Laguerre Voronoi Based Scheme for Meshing Particle Systems
Proc. of International Symposium on Voronoi Diagrams in Science and Engineering, VD2004, University of Tokyo, Japan, Sep 2004, pp. 115 -122. (pdf) (abstract)

Z. Yu, C. 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), Volume 1, Pages 415-420, Washington, DC. (pdf) (abstract)

Y. Zhang, C. Bajaj
Adaptive and Quality Quadrilateral/Hexahedral Meshing from Volumetric Imaging Data
In Proceedings of 13th International Meshing Roundtable, pp. 365-376. Willamsburg, VA. September 19-22, 2004. (pdf)

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

C. Bajaj, P. Djeu, V. Siddavanahalli, A. Thane
Interactive Visual Exploration of Large Flexible Multi-component Molecular Complexes
Proc. of the Annual IEEE Visualization Conference, October 2004, Austin, Texas, IEEE Computer Society Press, pp. 243-250. (pdf)

Sangmin Park, Chandrajit L. Bajaj
Multi-Dimensional Transfer Function Design for Scientific Visualization
Proceedings of the Fourth Indian Conference on Computer Vision, Graphics & Image Processing, ICVGIP 2004: 290-295.

D. Xue, L. Demkowicz, C. Bajaj
Reconstruction of G1 Surfaces with Biquartic Patches for hp FE Simulations
In Proceedings of 13th International Meshing Roundtable, pp. 323-332. Willamsburg, VA. September 19-22, 2004. (pdf)

Journal Publications - 2003

B. Duerstock, C. Bajaj, R. Borgens
A Comparative Study of the Quantitative Accuracy of Three-Dimensional Reconstructions of Spinal Cord from Serial Histological Sections
Journal of Microscopy, 210:2, (2003), 138-148. (pdf)

W. Blanke, C. Bajaj
Active Visualization in a Multidisplay Immersive Environment
Computers & Graphics, Volume 27, Number 5, October 2003, 681-691. (pdf)

C. Bajaj, G. Xu
Anisotropic Diffusion of Subdivision Surfaces and Functions on Surfaces
ACM Transactions on Graphics, 22, 1, (2003), 4-32. (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)

G. Xu, C. Bajaj
Curvature Computations of 2-manifolds in R^k
Journal of Computational Mathematics. vol. 21. no. 5. (2003), 681-688. (ps)

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. (pdf) (ps) (abstract)

C. Bajaj, G. Xu, R. Holt, A. Netravali
NURBS Approximation of A-splines and A-patches
International Journal of Computational Geometry and Applications, 13, 5, (2003), 359-389. (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)

Conference Presentations & Publications - 2003

Z. Yu, C. 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. 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)

Journal Publications - 2002

C. Bajaj, S. Schaefer, J. Warren, G. Xu
A Subdivision Scheme for Hexahedral Meshes
The Visual Computer, Vol. 18. Numbers 5-6. Pages 343-356. August 2002. (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, 13, 2, 261-284. (pdf)

C. Bajaj, G. Xu, R. Holt, A. Netravali
Hierarchical Multiresolution Reconstruction of Shell Surfaces
Computer Aided Geometric Design, 19:2(2002), 89-112. (pdf) (ps)

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) (abstract)

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
Anisotropic Vector Diffusion in Image Smoothing
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. (pdf)

B. 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)

Z. Yu, C. Bajaj
Image Segmentation Using Gradient Vector Diffusion and Region Merging
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. (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)

Z. Yu, C. Bajaj
Normalized Gradient Vector Diffusion and Image Segmentation
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. (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)

Journal Publications - 2001

C. Bajaj, I. Ihm, S. Park
3D RGB Image Compression for Interactive Applications
ACM Transactions on Graphics, 20, 1, (2001), 10-38. (pdf) (ps) (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) (ps) (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) (ps) (abstract)

H. Pfister, B. Lorenson, C. Bajaj, G. Kindlmann, W. Schroeder, L. Avila, K. 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)

Book Chapters - 2001

C. Bajaj
Smooth Shell Construction with Mixed Prism Fat Surfaces
Brunett, G., Bieri,H., Farin, G. (eds.), Geometric Modeling Computing Supplement, 14, (2001), 19-35. (pdf)

Conference Presentations & Publications - 2001

C. Bajaj, G. Xu
Adaptive fairing of surface meshes by geometric diffusion
Proceedings of Fifth International Conference onInformation Visualisation, 2001. 25-27 July 2001 Page(s):731 - 737. (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)

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, pp. 51-58, San Diego, CA, 2001. (pdf)

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

Journal Publications - 2000

B. Duerstock, C. Bajaj, V. Pascucci, D. Schikore. K. Lin, R. Borgens
Advances in three-dimensional reconstruction of the experimental spinal cord injury
Computerized Medical Imaging and Graphics, Volume 24, Issue 6, November 2000, Pages 389-406. (pdf)

C. Bajaj, I. Ihm, S. Park
Compression-Based 3D Texture Mapping for Real-Time Rendering
Graphical Models, 62:6, (2000), 391-410. (pdf) (abstract)

C. Bajaj, A. Royappa
Parameterization in Finite Precision
Algorithmica, 27, 1, (2000), 100-114. (pdf) (ps)

G. Xu, C. Bajaj, W. Xue
Regular algebraic curve segments (I)-Definitions and characteristics
Computer Aided Geometric Design, 17:6(2000), 485-501. (pdf) (ps)

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

Conference Presentations & Publications - 2000

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)

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

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, pp. 33- 42. (pdf) (ps)

Journal Publications - 1999

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

C. Bajaj, G. Xu
A-Splines: Local Interpolation and Approximation Using Gk- Continuous Piecewise Real Algebraic Curves
Computer Aided Geometric Design, 16:6(1999), 557-578. (pdf) (ps)

F. Bernardini, C. Bajaj, J. Chen, 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, pp. 327-369. (pdf) (ps)

C. Bajaj, R. Holt, A. Netravali
Energy Formulations for A-Splines
Computer Aided Geometric Design, 16:1(1999), 39-59. (pdf) (ps)

C. Bajaj, V. Pascucci, G. Zhuang
Single Resolution Compression of Arbitrary Triangular Meshes with Properties
Computational Geometry: Theory and Applications, Volume 14, Issues 1-3, 30 November 1999, Pages 167-186. (pdf) (ps)

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

Conference Presentations & Publications - 1999

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., pp. 332-340. (pdf) (ps)

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

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

C. Bajaj, I. Ihm, G 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. (pdf) (ps)

C. Bajaj, V. Pascucci, G. Zhuang
Progressive Compression and Transmission of Arbitrary Triangular Meshes
In Proceedings of the 10th IEEE Visualization 1999 Conference, October 24-29,1999. San Francisco, CA, pp. 307 - 316. (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)

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

Journal Publications - 1998

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

C. Bajaj, E. Sacks
Sliced Configuration Spaces
International Journal Of Robotics Research, 17, 6, (1998), 639-651. (pdf) (ps)

C. Bajaj, D. Schikore
Topology Preserving Data Simplification with Error Bounds
Journal on Computers and Graphics, vol. 22.1, pp. 3-12, 1998. (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)

Book Chapters - 1998

C. Bajaj, V. Pascucci, D. Schikore
Accelerated IsoContouring of Scalar Fields
Data Visualization Techniques, edited by C. Bajaj, John Wiley and Sons (1998). (pdf) (ps)

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

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

Conference Presentations & Publications - 1998

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

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.
Color Plate(pdf) (ps) (pdf) (ps)

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)

Edited Books - 1998

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

Journal Publications - 1997

C. Bajaj, G. Xu
Modeling and Visualization of C1 and 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). (pdf) (ps)

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

C. Bajaj, F. Bernardini, G. Xu
Reconstruction Surfaces and Functions on Surfaces from Unorganized Three-Dimensional Data
Algorithmica, 19, 1-2, (1997), 243-261. (pdf) (ps)

C. Bajaj, G. Xu
Spline Approximations of Real Algebraic Surfaces
Journal of Symbolic Computation, Special Isssue on Parametric Algebraic Curves and Applications, 23, 2-3, 315 - 333. (pdf) (ps)

Book Chapters - 1997

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).

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. (pdf) (ps)

Conference Presentations & Publications - 1997

F. Bernardini, C. Bajaj, J. Chen, D. Schikore
A Triangulation-based Object Reconstruction Method
In 6th Annual Video Review of Computational Geometry, 13th ACM Symposium on Computational Geometry. ACM, 1997. (pdf) (ps)

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

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

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

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

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

Edited Books - 1997

C. Bajaj, J. Bloomenthal, J. Blinn, M. Gascuel, A. Rockwood, B. Wyvill, G. Wyvill
Introduction to Implicit Surfaces
Morgan Kaufman Publishers Inc., (1997).

Journal Publications - 1996

C. Bajaj, E. Coyle, K. Lin
Arbitrary Topology Shape Reconstruction from Planar Cross Sections
Graphical Models and Image Processing, 58:6, (1996), 524-543. (pdf)

Book Chapters - 1996

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

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)

Conference Presentations & Publications - 1996

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. (pdf) (ps)

C. Bajaj, E. Coyle, K. Lin
Boundary 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. (ps)

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

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

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). (pdf) (ps)

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

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), pp. 41-45.

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

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. (pdf) (ps)

Journal Publications - 1995

C. Bajaj, G. Xu, J. Chen
Approximation of Polyhedron with C^2 A-Patches
report on Fourth SIAM Conference on Geometric Design, November 6-9, 1995, Nashville, Tennessee.

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. (pdf) (ps)

C. Bajaj, A. Royappa
Finite Representations of Real Parametric Curves and Surfaces
International Journal of Computational Geometry and Applications, 5, 3, (1995), 313-326. (pdf) (abstract)

C. Bajaj, J. Chen, G. Xu
Modeling with Cubic A-patches
ACM Transactions on Graphics, 14:2, (1995), 103-133. (pdf) (ps)

Conference Presentations & Publications - 1995

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), 207-213. (pdf) (ps)

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, S. Cutchin
Collaborative Multimedia in SHASTRA
3rd International Conference on Multimedia, 1995. San Francisco, CA. Pages 365-366. (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. (pdf) (ps)

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. (pdf) (ps)

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

Edited Books - 1995

C. Bajaj
Algebraic Geometry and its Applications
Springer Verlag, 1995.

Book Chapters - 1995

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

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.

Journal Publications - 1994

V. Anupam, C. Bajaj
Collaborative Multimedia in Scientific Design
IEEE Multimedia, 1, 2, (1994), 39-49. (pdf)

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

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

V. Anupam, C. Bajaj, F. Bernardini, S. Cutchin, J. Chen, D. Schikore, G. Xu, P. Zhang, W. Zhang
Scientific Problem Solving in a Distributed and Collaborative Multimedia Environment
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). (pdf) (ps)

C. Bajaj, V. Anupam
SHASTRA - An Architecture for Development of Collaborative Applications
International Journal of Intelligent and Cooperative Information Systems, 3, 2, (1994), 155-172.

Book Chapters - 1994

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
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)

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
Some Applications of Constructive Real Algebraic Geometry
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.

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.

Conference Presentations & Publications - 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. (pdf) (ps)

C. Bajaj, D. Schikore
Custom Prosthesis Design, Visualization, and Prototyping
Proceedings of SPIE, Volume 2359. Visualization in Biomedical Computing 1994, Richard A. Robb, Editor, September 1994, pp. 504-510. (pdf) (ps)

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

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

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. (pdf) (ps)

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
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, 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)

C. Bajaj, A. Royappa
Triangulation and Display of 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)

Journal Publications - 1993

C. Bajaj, J. Canny, T. Garrity, J. Warren
Factoring Rational Polynomials over the Complexes
Siam Journal on Computing, 22, 2, (1993), 318-331. (pdf)

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. (pdf)

V. Anupam, C. Bajaj
SHASTRA - An Architecture for Development of Collaborative Applications
Proceedings: Second IEEE Workshop on Enabling Technologies: Infrastructure for Collaborative Enterprises, 155-166, Morgantown. (pdf)

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

V. Anupam, C. Bajaj
Collaborative Multimedia in Scientific Design
Proceedings: First ACM Multimedia Conference, ACM MULTIMEDIA 93, Anaheim, California, ACM Press, (1993), 447-456. (pdf) (ps)

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

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

C. Bajaj, A. Royappa
Finite Representations of Real Parametric Curves and Surfaces
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.

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
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)

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

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, 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. (pdf)

Journal Publications - 1992

C. Bajaj, I. Ihm
Algebraic Surface Design with Hermite Interpolation
ACM Transactions on Graphics, 11, 1, (1992), 61-91. (pdf)

C. Bajaj, T. Dey
Convex Decomposition of Polyhedra and Robustness
Siam Journal on Computing, 21, 2, (1992), 339-364. (pdf)

T. Dey, K. Sugihara, C. Bajaj
Delaunay Triangulations in Three Dimensions with Finite Precision Arithmetic
Computer Aided Geometric Design, 9:6(1992), 457-470. (pdf)

T. Dey, C. Bajaj, K. Sugihara
On Good Triangulations in Three Dimensions
International Journal of Computational Geometry and Applications, 2, 1, (1992), 75-95. (pdf)

C. Bajaj, T. Dey
Robust Decompositions of Polyhedra
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, I. Ihm
Smoothing Polyhedra using Implicit Algebraic Splines
Computer Graphics, 26, 2, (1992), 79-88. Proceedings: 1992 ACM Transactions on Graphics, SIGGRAPH 92, Chicago, Illinois. (pdf)

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
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.

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

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 and Technology, Boston, Massachusetts, vol. 1830, (1992), 70-80. (pdf) (abstract)

Conference Presentations & Publications - 1991

C. Bajaj
Electronic Skeletons: Modeling Skeletal Structures with Piecewise Algebraic Surfaces
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. (pdf) (abstract)

T. Dey, C. Bajaj, K. Sugihara
On Good Triangulations in Three Dimensions
Proceedings: The ACM Symposium on Solid Modeling Foundations and CAD/CAM Applications, (1991), 431-441. (pdf)

Journal Publications - 1990

C. Bajaj, M. Kim
Convex Hulls of Objects bounded by Algebraic Curves
Algorithmica, 6, 1, (1990), 533-553. (pdf)

C. Bajaj, M. Kim
Generation of Configuration Space Obstacles: The Case of Moving Algebraic Surfaces
International Journal of Robotics Research, 9, 1, (1990), 92-112.

C. Bajaj, T. Dey
Polygon Nesting and Robustness
Information Processing Letters, 35, 1, (1990), 23-32. (pdf) (abstract)

C. Bajaj
Rational Hypersurface Display
Computer Graphics, 24, 2, (1990), 117-127. Proceedings: 1990 ACM Symposium on Interactive 3D Graphics, Snowbird, Utah. (pdf)

C. Bajaj, T. Dey
Robust Computations of Polygon Nesting
Proceedings: International Workshop on Discrete Algorithms and Complexity, Fukuoka, Japan, (1989), 33-40.

J. Johnstone, C. Bajaj
Sorting Points along an Algebraic Curve
Siam Journal on Computing, 19, 5, (1990), 925-967. (pdf)

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, 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
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. (pdf) (abstract)

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)

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.

Journal Publications - 1989

S. Abhyankar, C. Bajaj
Automatic Parameterization of Rational Curves and Surfaces IV: Algebraic Space Curves
ACM Transactions on Graphics, 8, 4, (1989), 325-334. (pdf)

C. Bajaj, J. Canny, T. Garrity, J. Warren
Factoring Rational Polynomials over the Complexes
Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation 1989, Portland, Oregon, United States, July 17 - 19, 1989, 81-90. (pdf)

C. Bajaj, M. Kim
Generation of Configuration Space Obstacles: The Case of Moving Algebraic Curves
Algorithmica, 4, 1, (1989), 157-172. (pdf) (abstract)

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

C. Bajaj, I. Ihm
Hermite Interpolation of Rational Space Curves using Real Algebraic Surfaces
Proceedings: 5th Annual ACM Symposium on Computational Geometry, Saarbrucken, West Germany, (1989), 94-103. (pdf)

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.

Journal Publications - 1988

S. Abhyankar, C. Bajaj
Automatic Parameterization of Rational Curves and Surfaces III: Algebraic Plane Curves
Computer Aided Geometric Design, 5:4(1988), 309-321. (pdf) (abstract)

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

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. (pdf)

C. Bajaj
The Algebraic Degree of Geometric Optimization Problems
Discrete and Computational Geometry, 3, 1, (1988), 177-191. (pdf) (abstract)

C. Bajaj, C. Hoffmann, R. Lynch, J. Hopcroft
Tracing Surface Intersections
Computer Aided Geometric Design, 5:4(1988), 285-307. (pdf) (abstract)

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.

Journal Publications - 1987

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

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

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

C. Bajaj, M. Kim
Generation of Configuration Space Obstacles: The Case of Moving Algebraic Curves
Proceedings: 1987 IEEE International Conference on Robotics and Automation, Raleigh, North Carolina, volume 4, (March 1987), 979-984. (pdf)

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

C. Bajaj
Geometric Optimization and the Polynomial Hierarchy
Theoretical Computer Science, 54, 1, (1987), 87-102. (pdf)

Conference Presentations & Publications - 1987

C. Bajaj, M. Kim
Compliant Motion Planning with Geometric Models
Proceedings: 3rd ACM Symposium on Computational Geometry, Waterloo, Canada, (1987), 171-180. (pdf) (abstract)

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

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.

Conference Presentations & Publications - 1985

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.