Tech Report

G. Xu, M. Li, A. Gopinath, C. Bajaj
Computational Inversion of Electron Tomography Images Using L2-Gradient Flows
ICES Technical Report TR-10-11, The University of Texas at Austin, 2010 (pdf)

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, http://dx.doi.org/10.1016/j.cma.2008.12.042, http://tinyurl.com/PMC2755577, PMCID: PMC2755577 (pdf)

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
2009, http://dx.doi.org/10.1016/j.jmb.2008.11.002, http://tinyurl.com/PMID19027752, PMID: 19027752, PMC Journal in Process

C. Bajaj, G. Xu, Q.Zhang
Bio-Molecule Surfaces Construction Via a Higher-Order Level Set Method
Proceedings of the 16th CAD/CG International Conference, Beijing, China, 2007, pp. 27- 31, NIHMSID194056, 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, http://tinyurl.com/PMID18559320, PMID: 18559320, PMC Journal in Process

C. Bajaj, L. Liu, J.O. Deasy, D.A. Low, T. Ju
Surface Reconstruction From Non-parallel Curve Networks
Computer Graphics Forum, 2008, 27(2):155-163, http://dx.doi.org/10.1111/j.1467-8659.2008.01112.x, http://tinyurl.com/PMC2733791, PMCID: PMC273379

Z. Yu, C. Bajaj, M. Hoshijima, M. Holst, T. Hayashi, M. Ellisman, J. McCammon
Three-Dimensional Geometric Modeling of Membrane-bound Organelles in Ventricular Myocytes: Bridging the Gap between Microscopic Imaging and Mathematical Simulation
Journal of Structural Biology, 164(3):304-13, 2008, http://tinyurl.com/PMC2790379, PMCID: PMC2790379 (pdf) (abstract)

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, doi:10.1016/j.cma.2005.02.016, http://tinyurl.com/PMC2740490, PMCID: PMC2740490 (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, doi:10.1016/j.cagd.2005.05.004, http://tinyurl.com/PMC2760856, PMCID: PMC2760856 (pdf) (abstract)

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, doi:10.1016/j.cma.2004.11.026, http://tinyurl.com/PMC2748876, PMCID: PMC2748876 (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 Ultrastructure Segmentation of Reconstructed CryoEM Maps of Icosahedral Viruses
IEEE Transactions on Image Processing: Special Issue on Molecular and Cellular Bioimaging, 2005 Sep; 14(9): 1324-37, doi: 10.1109/TIP.2005.852770, http://tinyurl.com/PMID16190468, PMID16190468, PMC Journal in Process

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), doi: 10.1529/biophysj.104.053850, http://tinyurl.com/PMC1305222, PMCID: PMC1305222 (pdf) (abstract)

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, 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)

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, C. Baldazzi, S. Cutchin, A. Paoluzzi, V. Pascucci, M. Vicentino
A programming approach for complex animations. Part I. Methodology
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, J. Chen, R. Holt, A. Netravali
Energy Formulations of 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)

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, E. Sacks
Sliced Configuration Spaces for Curved Planar Bodies
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)

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

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

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)

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.

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)

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.

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)

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

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

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.

Conference Presentations & Publications

A. Gillette and C. Bajaj
A Generalization for Stable Mixed Finite Elements
Proceedings of the ACM Symposium on Solid and Physical Modeling, Sept. 2010, Accepted for Publication.

C. Bajaj, R. Bettadapura, N. Lei, A. Mollere, C. Peng, A. Rand
Constructing A-Spline Weight Functions for Stable WEB-Spline Finite Element Methods
Proceedings of the ACM Symposium on Solid and Physical Modeling, Sept. 2010, Accepted for Publication.

O. Sharma, Q. Zhang, F. Anton, C. Bajaj
Multi-Domain, Higher Order Level Set Scheme for 3D Image Segmentation on the GPU
Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR), 2010, NIHMSID# 192191, PMC Journal in Process (pdf)

C. Bajaj and R. Chowdhury
Multi-level Grid Algorithms for Faster Molecular Energetics
Proceedings of the ACM Symposium on Solid and Physical Modeling, Sept. 2010, Accepted for Publication

D. Ress, S. Dhandapani, S. Katyal, and C. Greene, C. Bajaj
Surface-Based Imaging Methods for High-Resolution Functional Magnetic Resonance Imaging
Proceedings of Second Intl. Symposium, CompIMAGE 2010: Computational Modeling of Objects Represented in Images, ed. by R. Barneva, V. Brimkov, H. Hauptman, R. Jorge, J. Tavares. LNCS 6026, Springer Verlag, 2010, p 130-140, NIHMSID# 187599. (pdf)

J. Edwards and C. Bajaj
Topologically correct reconstruction of tortuous contour forests
Proceedings of the ACM Symposium on Solid and Physical Modeling, accepted, September 2010

C. Bajaj, R. Chowdhury, M. Rasheed
A Dynamic Data Structure for Flexible Molecular Maintenance and Informatics
Proceedings of the 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling, San Francisco, CA, 2009, NIHMSID193756, PMC Journal in Process (pdf)

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, NIHMSID193754, PMC Journal in Process (pdf)

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. (pdf)

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. http://doi.acm.org/10.1145/1364901.1364928, NIHMSID 193748, PMC Journal in Process (pdf)

W. Zhao, G. Xu, C. Bajaj
An algebraic spline model of molecular surfaces
Proceedings of the 2007 ACM Symposium on Solid and Physical Modeling, 2007, pp. 297-302, NIHMSID194067, PMC Journal in Process (pdf) (abstract)

C. Bajaj
Automatic Structure Interpretation of Single Particle Cryo-Electron Microscopy: From Images To Pseudo-Atomic Models
2007 IEEE International Symposium on Biomedical Imaging, from Nano to Macro, Washington, DC, March 2007, PubMed ID: 19424455, PMCID: 2678009, NIHMSID: 87373

S. Goswami, A. Gillette, C. Bajaj
Efficient Delaunay Mesh Generation From Sampled Scalar Functions
Proceedings of the 16th International Meshing Roundtable, Seattle, WA, October 2007. pages 495 - 511

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)

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. 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)

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 Isosurface Refinement and Smoothing
Proceedings of the ACM/IEEE Volume Visualization and Graphics Symposium 2000, Salt lake City, Utah, pp. 33- 42. (pdf) (ps)

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, 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) (ps)

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) (ps)

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)

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)

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)

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, 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)

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

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.

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

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.

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.

Book Chapters

C. Bajaj, A. Gillette, S. Goswami, B. Kwon, and J. Rivera
Complementary Space for Enhanced Uncertainty and Dynamics Visualization
Topological Data Analysis and Visualization: Theory, Algorithms and Applications, ed. by Pascucci, Tricoche, Hagen, Tierny, Springer-Verlag, in publication, 2009, NIHMSID194093, PMC Journal in Process (pdf)

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, 2009, pages 45-58, NIHMS155079, PMC Journal (pdf)

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, NIHMS155076, PMC Journal in Process

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)

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

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, 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.