Suggested Reading I: Books

  1. Introduction to Implicit Surfaces, C. Bajaj, J. Bloomenthal, J. Blinn, M. Gascuel, A. Rockwood, B&G Wyvill, Morgan Kaufmann, 1997
  2. Finite Element Methods with B-splines, K. Hollig, SIAM Frontier in App. Math., 2003
  3. Spline Functions on Triangulations (Encyclopedia of Mathematics and its Applications), M-J. Lai, L. Schumaker, Cambridge Univ. Press, 2007
  4. The Synaptic Organization of the Brain, ed. by G. Shepherd, Oxford Univ Press 1998
  5. Brain, Mind, and Behavior, F. Bloom, A. Lazerson, W. H. Freeman and Company,1999
  6. Protein Structure, New Approaches to Disease and Therapy, M. Perutz, W. H. Freeman and Company,1992
  7. Viruses and Human Disease, J & E Strauss, Academic Press, 2002
  8. Introduction to Mathematics of Medical Imaging, C. Epstein, Pearson Education Inc., Upper Saddle River, NJ07458
  9. Differential Forms with Applications to the Physical Sciences, H. Flanders, Dover Publications, 1989
  10. Algebraic Geometry for Scientists and Engineers, S. Abhyankar, AMS Pub., 1990
  11. Computational Geometry: Algorithms and Applications, M. De Berg, M. Van Kreveld, M. Overmars, O. Schwarzkopf, Springer 1997
  12. Data Visualization Techniques, ed. C. Bajaj, John Wiley, 1999

Suggested Reading II: Papers

  1. Geometric Modeling and Quantitative Visualization of Virus Ultrastructure Modeling Biology: Structures, Behaviors, Evolution, Edited L. da Fontoura Costa and M. Laublichler, MIT Press, 2005, C. Bajaj, 2005
  2. 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. , C. Bajaj & Z. Yu
  3. 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, 5 (4), 1196-213, 2006. (pdf)
  4. 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
    Nucleic Acids Res. 2006 Jan 1; 34 (Database Issue), D386-9, 2006 (pdf)
  5. 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)
  6. 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)
  7. 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)
  8. 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)
  9. 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)
  10. C. Bajaj, P. Djeu, V. Siddavanahalli, A. Thane
    TexMol: 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)
  11. G. Xu, Q. Pan, C. Bajaj
    Discrete Surface Modelling Using Partial Differential Equations
    Computer Aided Geometric Design, Volume 23/2, pp 125-145, 2006. (pdf)
  12. C. Bajaj, G. Xu
    Anisotropic Diffusion of Surfaces and Functions on Surfaces
    ACM Transactions on Graphics, 22, 1, (2003), 4-32. (pdf)
  13. 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)
  14. 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.
  15. C. Bajaj, G. Xu, R. Holt, A. Netravali
    Hierarchical Multiresolution Reconstruction of Shell Surfaces
    Computer Aided Geometric Design, 19:2(2002), 89-112. (pdf)
  16. 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)
  17. C. Bajaj, R. Holt, A. Netravali
    Rational Parameterizations of Nonsingular Real Cubic Surfaces
    ACM Transactions on Graphics, 17, 1, (1998), 1-31 (pdf)
  18. C. Bajaj, G. Xu
    Piecewise Rational Approximation of Real Algebraic Curves
    Journal of Computational Mathematics, vol. 15, no. 1, (1997), 55-71. (pdf)
  19. 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)
  20. C. Bajaj, J. Chen, G. Xu
    Modeling with Cubic A-patches
    ACM Transactions on Graphics, 14:2, (1995), 103-133. (pdf)
  21. C. Bajaj, I. Ihm
    Algebraic Surface Design with Hermite Interpolation
    ACM Transactions on Graphics, 11, 1, (1992), 61-91. (pdf)
  22. C. Bajaj, T. Dey
    Convex Decomposition of Polyhedra and Robustness
    Siam Journal on Computing, 21, 2, (1992), 339-364. (pdf)
  23. 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)