Subscribe

Issue No.02 - March/April (2000 vol.20)

pp: 62-75

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/38.824544

ABSTRACT

In this article we present an efficient framework for morphing between two topologically equivalent, arbitrary meshes with the user controlling the surface correspondences. Each of the partitioned meshes is embedded into a polygonal region on the plane with harmonic mapping. Those embedded meshes have the same graph structure as their original meshes. By overlapping those two embedded meshes, we can establish correspondence between them. Metamorphosis results from interpolating the corresponding vertices from one mesh to the other. We demonstrate that minimal control of surface correspondences by the user generates sophisticated interpolation between two meshes.

INDEX TERMS

Geometric Modeling, Metamorphosis, Surface Correspondence, Harmonic Mapping

CITATION

Takashi Kanai, Hiromasa Suzuki, Fumihiko Kimura, "Metamorphosis of Arbitrary Triangular Meshes",

*IEEE Computer Graphics and Applications*, vol.20, no. 2, pp. 62-75, March/April 2000, doi:10.1109/38.824544REFERENCES

- 14. J.R. Kent, R.E. Parent, and W.E. Carlson, "Establishing Correspondences by Topological Merging: A New Approach to 3D Shape Transformation,"
Proc. Graphics Interface, Morgan Kaufmann, San Francisco, Calif., June 1991, pp. 271-278.- 15. R.E. Parent, "Shape Transformation by Boundary Representation Interpolation: A Recursive Approach to Establishing Face Correspondences,"
J. Visualization and Computer Animation, Vol. 3, No. 4, 1992, pp. 219-239.- 16. H. Delingette, Y. Watanabe, and Y. Suenaga, "Simplex Based Animation,"
Proc. Computer Animation, N.M. Thalmann and D. Thalmann, eds., Springer-Verlag, Berlin, 1993, pp. 13-28.- 19. W.H. Press et al.,
Numerical Recipes in C, Cambridge University Press, Cambridge, UK, 1992.- 26. T. Duchamp et al., "Hierarchical Computation of PL Harmonic Embeddings," University of Washington preprint, Seattle, Wash., July 1997, http://www.math.washington.edu/~duchamp/ preprintspreprints.html.
- 30. Y.M. Sun, W. Wang, and F.Y.L. Chin, "Interpolating Polyhedral Models Using Intrinsic Shape Parameters,"
Proc. Pacific Graphics, World Scientific,Singapore, 1995, pp. 133-147. |