skip to main content
10.1145/311535.311580acmconferencesArticle/Chapter ViewAbstractPublication PagessiggraphConference Proceedingsconference-collections
Article
Free Access

Shape transformation using variational implicit functions

Published:01 July 1999Publication History
First page image

References

  1. 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. 2.Barr, Alan H., "Global and Local Deformations of Solid Primitives," Computer Graphics, Vol. 18, No. 3 (SIGGRAPH 84), pp. 21-30. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. 3.Beier, Thaddeus and Shawn Neely, "Feature-Based Image Metamorphosis," Computer Graphics, Vol. 26, No. 2 (SIGGRAPH 92), July 1992, pp. 35-42. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. 4.Bloomenthal, Jules, "An Implicit Surface Polygonizer," in Graphics Gems IV, edited by Paul S. Heckbert, Academic Press, 1994, pp. 324- 349. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. 7.Cohen-Or, Daniel, David Levin and Amira Solomovici, "Three Dimensional Distance Field Metamorphosis," ACM Transactions on Graphics, 1997. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. 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.Google ScholarGoogle Scholar
  9. 9.Duncan, Jody, "A Once and Future War," Cinefex, No. 47 (entire issue devoted to the film Terminator 2), August 1991, pp. 4-59.Google ScholarGoogle Scholar
  10. 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. 11.Golub, Gene H. and Charles F. Ban Loan, Matrix Computations, John Hopkins University Press, 1996.Google ScholarGoogle Scholar
  12. 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  15. 15.Hugues, John F., "Scheduled Fourier Volume Morphing," Computer Graphics, Vol. 26, No. 2 (SIGGRAPH 92), July 1992, pp. 43-46. Google ScholarGoogle ScholarDigital LibraryDigital Library
  16. 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.Google ScholarGoogle Scholar
  17. 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  18. 18.Lerios, Apostolos, Chase Garfinkle and Marc Levoy, "Feature-Based Volume Metamorphosis," Computer Graphics Proceedings, Annual Conference Series (SIGGRAPH 95), pp. 449-456. Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. 19.Levin, David, "Multidimensional Reconstruction by Set-valued Approximation," IMA J. Numerical Analysis, Vol. 6, 1986, pp. 173-184.Google ScholarGoogle ScholarCross RefCross Ref
  20. 20.Litwinowicz, Peter and Lance Williams, "Animating Images with Drawings," Computer Graphics Proceedings, Annual Conference Series (SIGGRAPH 94), pp. 409-412. Google ScholarGoogle ScholarDigital LibraryDigital Library
  21. 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  22. 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.Google ScholarGoogle Scholar
  23. 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  24. 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.Google ScholarGoogle Scholar
  25. 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  26. 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  27. 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.Google ScholarGoogle Scholar
  28. 28.Wolberg, George, Digital Image Warping, IEEE Computer Society Press, Los Alamitos, California 1990. Google ScholarGoogle ScholarDigital LibraryDigital Library

Index Terms

  1. Shape transformation using variational implicit functions

      Recommendations

      Comments

      Login options

      Check if you have access through your login credentials or your institution to get full access on this article.

      Sign in

      PDF Format

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader