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

Comments

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

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