SIGGRAPH01 Paper Bibliography

Bibliography for Reconstruction and Representation of 3D Objects with Radial Basis Functions

  1. C. Bajaj, J. Chen, and G. Xu. Modeling with cubic a-patches. ACM Transactions on Computer Graphics, 14(2):103–133, 1995.
  2. R. K. Beatson, J. B. Cherrie, and C. T. Mouat. Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration. Advances in Computational Mathematics, 11:253–270, 1999.
  3. R. K. Beatson, J. B. Cherrie, and D. L. Ragozin. Fast evaluation of radial basis functions: Methods for four-dimensional polyharmonic splines. SIAM J. Math. Anal., 32(6):1272–1310, 2001.
  4. R. K. Beatson and L. Greengard. A short course on fast multipole methods. In M. Ainsworth, J. Levesley, W.A. Light, and M. Marletta, editors, Wavelets, Multilevel Methods and Elliptic PDEs, pages 1–37. Oxford University Press, 1997.
  5. R. K. Beatson and W. A. Light. Fast evaluation of radial basis functions: Methods for two-dimensional polyharmonic splines. IMA Journal of Numerical Analysis, 17:343–372, 1997.
  6. R. K. Beatson, W. A. Light, and S. Billings. Fast solution of the radial basis function interpolation equations: Domain decomposition methods. SIAM J. Sci. Comput., 22(5):1717–1740, 2000.
  7. R. K. Beatson, A. M. Tan, and M. J. D. Powell. Fast evaluation of radial basis functions: Methods for 3dimensional polyharmonic splines. In preparation.
  8. F. Bernardini, C. L. Bajaj, J. Chen, and D. R. Schikore. Automatic reconstruction of 3D CAD models from digital scans. Int. J. on Comp. Geom. and Appl., 9(4– 5):327, Aug & Oct 1999.
  9. J. Bloomenthal, editor. Introduction to Implicit Surfaces. Morgan Kaufmann, San Francisco, California, 1997.
  10. J. C. Carr, W. R. Fright, and R. K. Beatson. Surface interpolation with radial basis functions for medical imaging. IEEE Trans. Medical Imaging, 16(1):96– 107, February 1997.
  11. E. W. Cheney and W. A. Light. A Course in Approximation Theory. Brooks Cole, Pacific Grove, 1999.
  12. J. Duchon. Splines minimizing rotation-invariant seminorms in Sobolev spaces. In W. Schempp and K. Zeller, editors, Constructive Theory of Functions of Several Variables, number 571 in Lecture Notes in Mathematics, pages 85–100, Berlin, 1977. SpringerVerlag.
  13. N. Dyn, D. Levin, and S. Rippa. Numerical procedures for surface fitting of scattered data by radial functions. SIAM J. Sci. Stat. Comput., 7(2):639–659, 1986.
  14. J. Flusser. An adaptive method for image registration. Pattern Recognition, 25(1):45–54, 1992.
  15. L. Greengard and V. Rokhlin. A fast algorithm for particle simulations. J. Comput. Phys, 73:325–348, 1987.
  16. H. Hoppe, T. DeRose, T. Duchamp, J. McDonald, and W. Stuetzle. Surface reconstruction from unorganised points. Computer Graphics (SIGGRAPH’92 proceedings), 26(2):71–78, July 1992.
  17. W. E. Lorensen and H. E. Cline. Marching cubes: A high resolution 3D surface construction algorithm. Computer Graphics, 21(4):163–169, July 1987.
  18. C. A. Micchelli. Interpolation of scattered data: Distance matrices and conditionally positive definite functions. Constr. Approx., 2:11–22, 1986.
  19. V. V. Savchenko, A. A. Pasko, O. G. Okunev, and T. L. Kunii. Function representation of solids reconstructed from scattered surface points and contours. Computer Graphics Forum, 14(4):181–188, 1995.
  20. R. Sibson and G. Stone. Computation of thinplate splines. SIAM J. Sci. Stat. Comput., 12(6):1304–1313, 1991.
  21. G. M. Treece, R. W. Prager, and A. H. Gee. Regularised marching tetrahedra: improved isosurface extraction. Computers and Graphics, 23(4):583–598, 1999.
  22. G. Turk and J. F. O’Brien. Shape transformation using variational implicit surfaces. In SIGGRAPH’99, pages 335–342, Aug 1999.
  23. G. Turk and J. F. O’Brien. Variational implicit surfaces. Technical Report GITGVU 9915, Georgia Institute of Technology, May 1999.
  24. G. Wahba. Spline Models for Observational Data. Number 59 in CBMSNSF Regional Conference Series in Applied Math. SIAM, 1990.
  25. G. Yngve and G. Turk. Creating smooth implicit surfaces from polygonal meshes. Technical Report GITGVU9942, Georgia Institute of Technology, 1999.