Morphing of Triangular Meshes in Shape Space

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DOIResolve DOI: http://doi.org/10.1142/S0218654310001341
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TypeArticle
Journal titleInternational Journal of Shape Modeling
Volume16
Issue1/2
Pages195212; # of pages: 18
SubjectMorphing; Shape space; Geometry processing; Computational geometry
AbstractWe 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. The novelty of the presented approaches is a solution to the morphing problem that does not need to solve a minimization problem.
Publication date
LanguageEnglish
AffiliationNRC Institute for Information Technology; National Research Council Canada
Peer reviewedYes
NPARC number18608250
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Record identifier407d750f-10c1-4fec-b53a-88b13c926543
Record created2011-09-21
Record modified2017-03-23
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