Shape space from deformation

Authors:
Ho-Lun Cheng;Herbert Edelsbrunner;Ping Fu
Affiliations:
Department of Computer Science, University of Illinois, Urbana, IL, USA;Department of Computer Science, Duke University, PO Box 90129, Durham, NC 27708, USA and Raindrop Geomagic, Research Triangle Park, NC, USA;Raindrop Geomagic, Research Triangle Park, NC, USA
Venue:
Computational Geometry: Theory and Applications
Year:
2001

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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.