International Journal of Shape Modeling
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.
Morphing, shape space, geometry processing, computational geometry
Wuhrer, Stefanie; Bose, Prosenjit; Shu, Chang; O'Rourke, Joseph; and Brunton, Alan, "Morphing of Triangular Meshes in Shape Space" (2010). Faculty Publications. Paper 43.