Document Type
Article
Publication Date
2010
Publication Title
International Journal of Shape Modeling
Abstract
We present a novel approach to morph between two isometric poses of the same non-rigid object given as triangular meshes. We model the morphs as linear interpolations in a suitable shape space S. For triangulated 3D polygons, we prove that interpolating linearly in this shape space corresponds to the most isometric morph in R3 . We then extend this shape space to arbitrary triangulations in 3D using a heuristic approach and show the practical use of the approach using experiments. Furthermore, we discuss a modified shape space that is useful for isometric skeleton morphing. All of the newly presented approaches solve the morphing problem without the need to solve a minimization problem.
Keywords
Morphing, shape space, geometry processing, computational geometry
Volume
16
Issue
1
First Page
195
Last Page
212
DOI
http://dx.doi.org/10.1142/S0218654310001341
ISSN
1793-639X
Recommended Citation
Wuhrer, Stefanie; Bose, Prosenjit; Shu, Chang; O'Rourke, Joseph; and Brunton, Alan, "Morphing of Triangular Meshes in Shape Space" (2010). Computer Science: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/csc_facpubs/43
Comments
Author’s submitted manuscript.
Language included at the request of the publisher: Electronic version of an article published as International Journal of Shape Modeling, 16, 1, 2010, 195-212. http://dx.doi.org/10.1142/S0218654310001341 © [copyright World Scientific Publishing Company] http://www.worldscientific.com/worldscinet/ijsm