The cage-based deformation of a 3D object
through generalized barycentric coordinates is a simple, e fficient, effective and hence widely used shape manipulation scheme. Editing vertices of the polyhedral cage induces a smooth space deformation of its interior; the vertices thus become control handles of the final deformation. However, in some application fi elds, as medicine, constrained volume preserving deformations are required.
In this paper, we present a solution that
takes advantage of the potential of the deformations based on generalized barycentric coordinates while adding the constraint of keeping a volume constant. An implementation of the proposed scheme is presented and discussed.
A measure of local stress of the deformed volume is also proposed.
CitationCervero, M.; Vinacua, A.; Brunet, P. Volume-preserving deformation using generalized barycentric coordinates. A: Congreso Español de Informática Gráfica. "XX Congreso Español de Informática Gráfica". Valencia: 2010, p. 57-66.
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