Journal Publications

C. Bajaj, G. Xu, Q. Zhang
A Fast Variational Method for the Construction of Adaptive Resolution C^2 Smooth Molecular Surfaces
Computer Methods in Applied Mechanics and Engineering, volume 198, p1684-1690, 2009, Special Issue in Honor of Professor J. T. Oden’s 70th Birthday, (2009). Available online from http://dx.doi.org/10.1016/j.cma.2008.12.042 NIHMSID: 91137, PMC Journal in Process

X. Yan, Z. Yu, P. Zhang, A. Batistti, P. Chipman, C.Bajaj, M. Bergoin, M. Rossman and T. Baker
The Capsid Proteins of a Large, Icosahedral dsDNA Virus
Journal of Molecular Biology, 385, 1287-1299, (2009). Available online from doi:10.1016/j.jmb.2008.11.002, PMID: 19027752, PMC Journal in Process

C. Bajaj, A. Paoluzzi, S. Portuesi, N. Lei and W. Zhao
Boolean Set Operations with Prism Algebraic Patches
Computer-Aided Design and Applications, 2008 5(5):730-742, NIHMSID: 87562, PMC Journal in Process

C. Bajaj , A. DiCarlo and A. Paoluzzi
Proto-Plasm: Parallel Language for Adaptive and Scalable Modeling of Biosystems
Philosophical Transactions of the Royal Society A, 2008 Sep 13;366(1878):3045-65, PMID: 18559320, PMC Journal in Process

Y. Zhang, C. Bajaj, G. Xu
Surface Smoothing and Quality Improvement of Quadrilateral/Hexahedral Meshes using Geometric Flow
The special issue of the Journal Communications in Numerical Methods in Engineering (CNME), Volume 24, Accepted for publication, 2008 Available online from Volume 24, DOI: 10.1002/cnm.1067

Z. Yu, C. Bajaj
Computational Approaches for Automatic Structural Analysis of Large Bio-molecular Complexes
IEEE/ACM Transactions on Computational Biology and Bioinformatics, (digital library) 22 June 2007 (pdf) (abstract)

C. Bajaj, J. T. Oden, K. R. Diller, J. C. Browne, J. Hazle, I. Babuska, J. Bass, L. Bidaut, L. Demkowicz, A. Elliott, Y. Feng, D. Fuentes, S. Prudhomme, R. J. Stafford, Y. Zhang.
Using Cyber-infrastructure for Dynamic Data Driven Laser Treatment of Cancer
Lecture Notes in Computer Science, 2007, 4487: 972-979, NIHMSID: NIHMS87560, PMCID: PMC2743440, doi: 10.1007/978-3-540-72584-8_128 (pdf) (abstract)

J. T. Oden, K. R. Diller, C. Bajaj, J. C. Browne, J. Hazle, I. Babuska, J. Bass, L. Demkowicz, Y. Feng, D. Fuentes, S. Prudhomme, M. N. Rylander, R. J. Stafford, Y. Zhang
Development of a Computational Paradigm for Laser Treatment of Cancer
Lecture Notes in Computer Science, 3993: 530-537, 2006, PubMed ID: 19421426, PMCID: 2676779, NIHMSID: 92553. (pdf) (abstract) (Related CVC Project)

G. Xu, Q. Pan, C. Bajaj
Discrete Surface Modeling Using Partial Differential Equations
Computer Aided Geometric Design, Volume 23/2, pp 125-145, 2006. (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, NIHMS87568, PMC2756697, doi: 10.1016/j.cagd.2006.01.008 (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)

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)

C. Bajaj, G. Xu
Anisotropic Diffusion of Surfaces and Functions on Surfaces
ACM Transactions on Graphics, 22, 1, (2003), 4-32. (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, 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, 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, (2002), 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)

C. Bajaj, G. Xu
Adaptive fairing of surface meshes by geometric diffusion
Proceedings of Fifth International Conference on Information 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, London, UK, 2001. (pdf)

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)

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)

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

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

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
Reconstructing 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, (1997), 315 - 333. (pdf) (ps)

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)

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

V. Anupam, C. Bajaj
Shastra: Multimedia Collaborative Design Environment
IEEE Multimedia, 1, 2, (1994), 39-49. (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)

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)

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)

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

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

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

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, 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)

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
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)

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)

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

Edited Books

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

Conference Presentations & Publications

C. Bajaj, A. Chen, G. Xu, Q. Zhang, W. Zhao
Hierarchical Molecular Interfaces and Solvation Electrostatics
Proceedings of the 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling, San Francisco, CA, 2009.

C. Bajaj, A. Gillette, Q. Zhang
Stable Mesh Decimation
Proceedings of the 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling, San Francisco, CA, 2009.

C.Bajaj, S. Goswami
Multi-Component Heart Reconstruction from Volumetric Imaging
Proceedings of the ACM Solid and Physical Modeling Symposium, Stony Brook, NY, 2008, pp. 193-202.

C. Bajaj, J. Zhang, G. Xu
Physically-based Surface Texture Synthesis Using a Coupled Finite Element System
Proceedings of the Geometric Modeling Processing, Hangzhou, China, 2008, LNCS 4975, pp. 344-357.

W. Zhao, G. Xu, C. Bajaj
An algebraic spline model of molecular surfaces
Proceedings of the 2007 ACM symposium on Solid and physical modeling, pp. 297-302, 2007. (pdf) (abstract)

Y. Zhang, T. Hughes, C.Bajaj
Automatic 3D Mesh Generation for a Domain with Multiple Materials
Proceedings of 16th International Meshing Roundtable, pp. 367-386. Seattle, Washington. Oct. 14-17, 2007.

C. Bajaj, G. Xu, Q. Zhang
Bio-Molecule Surfaces Construction Via a Higher-Order Level Set Method
Proceedings of the 14th CAD/CG International Conference, 2007, Beijing, China

X. Zhang, C. Bajaj
Extraction, Visualization and Quantification of Protein Pockets
International Conference on Computational Systems Bioinformatics CSB2007, Vol 6, pp. 275-286

J. T. Oden, K. R. Diller, C. Bajaj, J. C. Browne, J. Hazle, I. Babuska, J. Bass, L. Demkowicz, Y. Feng, D. Fuentes, S. Prudhomme, M. N. Rylander, R. J. Stafford, Y. Zhang
Development of a Computational Paradigm for Laser Treatment of Cancer
International Conference on Computational Science (3): 530-537, 2006. (pdf) (abstract) (Related CVC Project)

S. Goswami, T. Dey, C. 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. Bazilevs, Y. Zhang, V. Calo, S. Goswami, C. Bajaj, T. Hughes
Isogeometric Analysis of Blood Flow: a NURBS-based Approach
CompIMAGE. Coimbra, Portugal. October 20-21, 2006.

C. Bajaj, S. Goswami, Z. Yu, Y. Zhang, Y. Bazilevs, T. Hughes
Patient Specific Heart Models from High Resolution CT
CompIMAGE. Coimbra, Portugal. October 20-21, 2006.

Y. Zhang, Y. Bazilevs, S. Goswami, C. Bajaj, T. Hughes
Patient-Specific Vascular NURBS Modeling for Isogeometric Analysis of Blood Flow
Proceedings of 15th International Meshing Roundtable, pp. 73-92. Birmingham, AL. September 17-20, 2006.

C. Bajaj, S. Goswami
Secondary and Tertiary Structural Fold Elucidation from 3D EM Maps of Macromolecules
Proceedings of the Fifth Indian Conference on Computer Vision, Graphics & Image Processing, ICVGIP 2006, LNCS 4338, Springer Verlag, 2006, 264 - 275. (abstract)

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

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)

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)

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)

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)

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)

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, 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
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)

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 Modeling and Visualization of Timed Clinical Data
Proceedings: The Artificial Intelligence in Medicine, AAAI 1994 Spring Symposium, AIM-94, Stanford, CA, (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. (pdf) (ps)

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)

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, 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) (ps)

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. (ps)

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)

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)

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, 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, 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.

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.

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

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.

Book Chapters

C. Bajaj, A. Gillette, S. Goswami
Topology Based Selection and Curation of Level Sets
Topology-in-Visualization, ed. by A. Wiebel, H. Hege, K. Polthier, G. Scheuermann, Springer, 2009, pages 45-58

C. Bajaj, S. Goswami
Modeling Cardiovascular Anatomy from Patient-Specific Imaging
Advances in Computational Vision and Medical Image Processing, ed. by Joao Tavares and Renato Jorge, Springer, 2008, Chapter 1, pgs 1-28

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, 2007, pp. 115-137 (pdf)

C. Bajaj, Z. Yu
Geometric and Signal 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)

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

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

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)

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, 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, 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.

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.

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

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.