Shape space from deformation Journal Article


Author(s): Cheng, Ho-Lun; Edelsbrunner, Herbert; Fu, Ping
Article Title: Shape space from deformation
Affiliation
Abstract: The construction of shape spaces is studied from a mathematical and a computational viewpoint. A program is outlined reducing the problem to four tasks: the representation of geometry, the canonical deformation of geometry, the measuring of distance in shape space, and the selection of base shapes. The technical part of this paper focuses on the second task: the specification of a deformation mixing two or more shapes in continuously changing proportions. (C) 2001 Elsevier Science B.V All rights reserved.
Keywords: computational geometry; Delaunay triangulations; alpha shapes; Shape space; Morphing; Skin surfaces
Journal Title: Computational Geometry: Theory and Applications
Volume: 19
Issue 2-3
ISSN: 0925-7721
Publisher: Elsevier  
Date Published: 2001-07-01
Start Page: 191
End Page: 204
Sponsor: National Science Foundation under grants CCR-96-19542 and CCR-97-12088, and by the Army Research Office under grant DAAG55-98-1-0177.
DOI: 10.1016/S0925-7721(01)00021-9
Open access: no
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