Shape transformation using variational implicit functions

ACM SIGGRAPH 2005 Courses, SIGGRAPH 2005

Volumn , Issue , 2005, Pages

  Turk, Greg ^a   O'Brien, James F ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Contour interpolation; Implicit surfaces; Shape morphing; Shape transformation; Thin plate techniques

Indexed keywords

COMPUTER GRAPHICS; CONTOUR MEASUREMENT; INTERACTIVE COMPUTER GRAPHICS; INTERPOLATION; OBJECT RECOGNITION;

CONTOUR INTERPOLATION; IMPLICIT SURFACES; SHAPE MORPHING; SHAPE TRANSFORMATION; THIN PLATE;

METADATA;

EID: 84979981857     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1198555.1198639     Document Type: Conference Paper

References (28)

1. Barequet, Gill, Daniel Shapiro and Ayellet Tal, "History Consideration in Reconstructing Polyhedral Surfaces from Parallel Slices", Proceedings of Visualization'96, San Francisco, California, Oct. 27 - Nov. 1, 1996, pp. 149-156.
2. Barr, Alan H., "Global and Local Deformations of Solid Primitives", Computer Graphics, Vol. 18, No. 3(SIGGRAPH 84), pp. 21-30.
3. Beier, Thaddeus and Shawn Neely, "Feature-Based Image Metamorphosis", Computer Graphics, Vol. 26, No. 2(SIGGRAPH 92), July 1992, pp. 35-42.
4. Bloomenthal, Jules, "An Implicit Surface Polygonizer", in Graphics Gems IV, edited by Paul S. Heckbert, Academic Press, 1994, pp. 324-349.
5. Bookstein, Fred L., "Principal Warps: Thin Plate Splines and the Decomposition of Deformations", IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 11, No. 6, June 1989, pp. 567-585.
6. Celniker, George and Dave Gossard, "Deformable Curve and Surface Finite-Elements for Free-Form Shape Design", Computer Graphics, Vol. 25, No. 4(SIGGRAPH 91), July 1991, pp. 257-266.
7. Cohen-Or, Daniel, David Levin and Amira Solomovici, "Three Dimensional Distance Field Metamorphosis", ACM Transactions on Graphics, 1997.
8. Duchon, Jean, "Splines Minimizing Rotation-Invariant Semi-Norms in Sobolev Spaces", in Constructive Theory of Functions of Several Variables, Lecture Notes in Mathematics, edited by A. Dolb and B. Eckmann, Springer-Verlag, 1977, pp. 85-100.
9. Duncan, Jody, "A Once and Future War", Cinefex, No. 47(entire issue devoted to the film Terminator 2), August 1991, pp. 4-59.
10. Fuchs, H., Z. M. Kedem and S. P. Uselton, "Optimal Surface Reconstruction from Planar Contours", Communications of the ACM, Vol. 20, No. 10, October 1977, pp. 693-702.
11. Golub, Gene H. and Charles F. Ban Loan, Matrix Computations, John Hopkins University Press, 1996.
12. Gregory, Arthur, Andrei State, Ming C. Lin, Dinesh Manocha, Mark A. Livingston, "Feature-based Surface Decomposition for Correspondence and Morphing between Polyhedra", Proceedings of Computer Animation, Philadelphia, PA., 1998.
13. He, Taosong, Sidney Wang and Arie Kaufman, "Wavelet-Based Volume Morphing", Proceedings of Visualization'94, Washington, D. C., edited by Daniel Bergeron and Arie Kaufman, October 17-21, 1994, pp. 85-92.
14. Herman, Gabor T., Jingsheng Zheng and Carolyn A. Bucholtz, "Shape-Based Interpolation", IEEE Computer Graphics and Applications, Vol. 12, No. 3(May 1992), pp. 69-79.
15. Hugues, John F., "Scheduled Fourier Volume Morphing", Computer Graphics, Vol. 26, No. 2(SIGGRAPH 92), July 1992, pp. 43-46.
16. Kaul, Anil and Jarek Rossignac, "Solid-Interpolating Deformations: Construction and animation of PIPs", Proceedings of Eurographics'91, Vienna, Austria, 2-6 Sept. 1991, pp. 493-505.
17. Kent, James R., Wayne E. Carlson and Richard E. Parent, "Shape Transformation for Polyhedral Objects", Computer Graphics, Vol. 26, No. 2(SIGGRAPH 92), July 1992, pp. 47-54.
18. Lerios, Apostolos, Chase Garfinkle and Marc Levoy, "Feature-Based Volume Metamorphosis", Computer Graphics Proceedings, Annual Conference Series (SIGGRAPH 95), pp. 449-456.
19. Levin, David, "Multidimensional Reconstruction by Set-valued Approximation", IMA J. Numerical Analysis, Vol. 6, 1986, pp. 173-184.
20. Litwinowicz, Peter and Lance Williams, "Animating Images with Drawings", Computer Graphics Proceedings, Annual Conference Series (SIGGRAPH 94), pp. 409-412.
21. Lorenson, William and Harvey E. Cline, "Marching Cubes: A High Resolution 3-D Surface Construction Algorithm", Computer Graphics, Vol. 21, No. 4(SIGGRAPH 87), July 1987, pp. 163-169.
22. Meyers, David and Shelley Skinner, "Surfaces From Contours: The Correspondence and Branching Problems", Proceedings of Graphics Interface'91, Calgary, Alberta, 3-7 June 1991, pp. 246-254.
23. Payne, Bradley A. and Arthur W. Toga, "Distance Field Manipulation of Surface Models", IEEE Computer Graphics and Applications, Vol. 12, No. 1, January 1992, pp. 65-71.
24. Rossignac, Jarek and Anil Kaul, "AGRELs and BIPs: Metamorphosis as a Bezier Curve in the Space of Polyhedra", Proceedings of Eurographics'94, Oslo, Norway, Sept. 12-16, 1994, pp. 179-184.
25. Sederberg, Thomas W. and Eugene Greenwood, "A Physically Based Approach to 2-D Shape Blending", Computer Graphics, Vol. 26, No. 2(SIGGRAPH 92), July 1992, pp. 25-34.
26. Sederberg, Thomas W. and Scott R. Parry, "Free-Form Deformations of Solid Geometric Models", Computer Graphics, Vol. 20, No. 4(SIGGRAPH 86), pp. 151-160.
27. Turk, Greg and James F. O'Brien, "Variational Implicit Surfaces", Tech Report GIT-GVU-99-15, Georgia Institute of Technology, May 1999, 9 pages.
28. Wolberg, George, Digital Image Warping, IEEE Computer Society Press, Los Alamitos, California 1990.