Implicit surfaces that interpolate

Proceedings - International Conference on Shape Modeling and Applications, SMI 2001

Volumn , Issue , 2001, Pages 62-71

  Turk, Greg ^a   Dinh, Huong Quynh ^a   O'Brien, James F ^b   Yngve, Gary ^c  

^a GVU Center ^*  (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BASIS FUNCTIONS; CONSTRAINT POINTS; IMPLICIT SURFACES; POLYGONAL MODELING; RADIAL BASIS FUNCTIONS; SHAPE TRANSFORMATION; SURFACE NORMALS;

LINEAR SYSTEMS; METADATA; RADIAL BASIS FUNCTION NETWORKS;

FUNCTIONS;

EID: 84884788441     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SMA.2001.923376     Document Type: Conference Paper

References (23)

1. N. Amenta, M. Bern, and M. Kamvysselis. A new voronoi-based surface reconstruction algorithm. Computer Graphics Proceedings, Annual Conference Series (SIGGRAPH 98), pages 415-420, Aug. 1998.
2. C. L. Bajaj, F. Bernardini, and G. Xu. Automatic reconstruction of surfaces and scalar fields from 3d scans. Computer Graphics Proceedings, Annual Conference Series (SIGGRAPH 95), pages 109-118, Aug. 1995.
3. J. F. Blinn. A generalization of algebraic surface drawing. ACM Transactions on Graphics, 1 (3):235-256, 1982.
4. J. Bloomenthal. Polygonization of implicit surfaces. Computer-Aided Geometric Design, 5(4):341-355, 1988.
5. J. Bloomenthal. An implicit surface polygonizer. In P. S. Heckbert, editor, Graphics Gems IV, pages 324-349. Academic Press, 1994.
6. J. Bloomenthal, editor. Introduction to Implicit Surfaces. Morgan Kaufmann Publishers, Inc., San Francisco, California, 1997.
7. F. Chen and D. Suter. Multiple order laplacian spline - including splines with tension. Technical report, Monash University, July 1986. MECSE 1996-5, Dept. of Electrical and Computer Systems Engineering Technical Report.
8. H. Q. Dinh, G. Turk, and G. Slabaugh. Reconstructing surfaces by volumetric regularization. Technical report, College of Computing, Georgia Institute of Technology, Nov. 2000. Tech Report GIT-GVU-00-26.
9. J. Duchon. Spline minimizing rotation-invariant semi-norms in sobolev spaces. In W. Schempp and K. Zeiler, editors, Constructive Theory of Functions on Several Variables, Lecture Notes in Mathematics 571, Berlin, 1977. Springer-Verlag.
10. J. Hart. Ray tracing implicit surfaces. Siggraph 93 Course Notes: Design, Visualization and Animation of Implicit Surfaces, pages 1-16, 1993.
11. J. Hart. Sphere tracing: A geometric method for the antialiased ray tracing of implicit surfaces. The Visual Computer, 12(10):527-545, 1997.
12. D. Keren and C. Gotsman. Tight fitting of convex polyhedral shapes. International Journal of Shape Modeling, pages 111-126, 1998.
13. J. Levin. A parametric algorithm for drawing pictures of solid objects composed of quadric surfaces. Communications of the ACM, 19:555-563, 1976.
14. W. Lorensen and H. E. Cline. Marching cubes: A high resolution 3-d surface construction algorithm. Computer Graphics (SIGGRAPH 57), 21(4): 163-169, July 1987. (Pubitemid 18521954)
15. B. Morse, T. S. Yoo, P. Rheingans, D. T. Chen, and K. Subramanian. Interpolating implicit surfaces from scattered surface data using compactly supported radial basis functions. Shape Modelling International, 2001.
16. H. Nishimura, M. Hirai, T. Kawai, T. Kawata, I. Shirkawa, and K. Omura. Object modeling by distribution function and a method of image generation. Transactions of the Institute of Electronics and Communication Engineers of Japan, J68-D(4):718-725, 1985.
17. S. Roth. Ray casting as a method for solid modeling. Computer Graphics and Image Processing, 18(2): 109-144, 1982.
18. V. V. Savchenko, A. A. Pasko, O. G. Okunev, and T. L. Kunni. Function representation of solids reconstructed from scattered surface points and contours. Computer Graphics Forum, 14(4):181-188, Oct. 1995.
19. G. Taubin. An improved algorithm for algebraic curve and surface fitting. In Fourth International Conference on Computer Vision (ICCV '93), pages 658-665, Berlin, Germany, May 1993. (Pubitemid 23667783)
20. G. Turk and J. O'Brien. Shape transformation using variational implicit functions. Computer Graphics Proceedings, Annual Conference Series (SIGGRAPH 1999), pages 335-342, Aug. 1999.
21. A. P. Witkin and P. S. Heckbert. Using particles to sample and control implicit surfaces. Computer Graphics Proceedings, Annual Conference Series (SIGGRAPH 94), pages 269-278, July 1994.
22. G. Yngve and G. Turk. Creating smooth implicit surfaces from polygonal meshes. Technical report, College of Computing, Georgia Institute of Technology, Sept. 1999. Tech Report GIT-GVU-99-42.
23. T. S. Yoo, B. Morse, K. Subramanian, P. Rheingans, and M. J. Ackerman. Anatomic modeling from unstructured samples using variational implicit surfaces. Medicine Meets Virtual Reality, 2001.