Interpolating implicit surfaces from scattered surface data using compactly supported radial basis functions

ACM SIGGRAPH 2005 Courses, SIGGRAPH 2005

Volumn , Issue , 2005, Pages

  Morse, Bryan S ^a   Yoo, Terry S ^b   Rheingans, Penny ^c   Chen, David T ^b   Subramanian, K R ^d  

^a BRIGHAM YOUNG UNIVERSITY   (United States)

^b NATIONAL INSTITUTES OF HEALTH   (United States)

^c University of Marylandw Baltimore County   (United States)

^d University of North Carolina at Charlotte   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; COMPUTATIONAL COMPLEXITY; COMPUTER GRAPHICS; FUNCTIONS; INTERACTIVE COMPUTER GRAPHICS; INTERPOLATION; RADIAL BASIS FUNCTION NETWORKS; TREES (MATHEMATICS);

COMPACTLY SUPPORTED; COMPACTLY SUPPORTED RADIAL BASIS FUNCTIONS; COMPUTATIONAL TECHNIQUE; LINEAR COMBINATIONS; SCATTERED SURFACE POINTS; SHAPE INTERPOLATION; SPATIAL SUBDIVISION; SURFACE GEOMETRIES;

SURFACE SCATTERING;

EID: 85013349274     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1198555.1198645     Document Type: Conference Paper

References (19)

1. J. L. Bentley. Multidimensional binary search trees used for associative searching. CACM, 18(9):509-517, 1975.
2. J. Blinn. A generalization of algebraic surface drawing. IEEE Transactions on Graphics, 1(3):235-246, 1982.
3. J. Bloomenthal, editor. Introduction to Implicit Surfaces. Morgan-Kaufman, 1997.
4. J. J. Dongarra, J. D. Croz, S. Hammarling, and I. Duff. A set of level 3 Basic Linear Algebra Subprograms. ACM Transactions on Mathematical Software, 16(1):1-17, Mar. 1990.
5. J. Duchon. Sur l'erruer d'interpolation des fonctions de plusieurs variables par les dm splines. R. A. I. R. O Analyse numerique, 12(4):325-334, 1978.
6. J. Hart and e. D. Ebert. New Fontiers in Modeling and Texturing. Siggraph 97 Course Notes, 1997.
7. B. Kimia, A. Tannenbaum, and S. Zucker. On optimal control methods in computer vision and image processing. In B. t. H. Romeny, editor, Geometry Driven Diffusion in Computer Vision, pages 307-338. Kluwer, 1994.
8. T. Lindeberg. Scale-space theory in computer vision. Kluwer Academic Publishers, 1994.
9. S. Osher and J. A. Sethian. Fronts propogating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulation. J. Comput. Phys., 79:12-49, 1988.
10. R. A. Saleh, K. A. Gallivan, M. Chang, I. N. Hajj, D. Smart, and T. N. Patrick. Parallel circuit simulation on supercomputers. Proceedings of the IEEE, 77(12):1915-1930, 1989.
11. 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.
12. J. A. Sethian. Level Set Methods: Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision, and Material Sciences. Cambridge University Press, 1996.
13. J. Thirion. New feature points based on geometric invariants for 3d image registration. Technical Report INRIA-RR-1901, INRIA, 1993.
14. G. Turk and J. F. O'Brien. Variational implicit surfaces. Technical Report GIT-GVU-99-15, Georgia Institute of Technology, 1998.
15. G. Turk and J. F. O'Brien. Shape transformation using variational implicit surfaces. In Computer Graphics Proceedings, Annual Conference Series, 1999.
16. H. Wendland. Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. AICM, 4:389-396, 1995.
17. R. Whitaker and D. Breen. Level-set models for the deformation of solid objects. In The Third International Workshop on Implicit Surfaces, pages 19-35. Eurographics, 1998.
18. A. Witkin and P. Heckbert. Using particles to sample and control implicit surfaces. In A. Glassner, editor, SIGGRAPH'94 Proceedings, Computer Graphics Proceedings, Annual Conference Series, pages 269-278. ACM SIGGRAPH, ACM Press, July 1994.
19. A. P. Witkin and J. M. Tenenbaum. On the role of structure in vision. In J. Beck, B. Hope, and A. Rosenfeld, editors, Human and Machine Vision, pages 481-543. Academic Press, New York, NY, 1983.