Deformable Smooth Surface Design |
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Authors: | H. Edelsbrunner |
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Affiliation: | (1) Department of Computer Science, University of Illinois, Urbana, IL 61801, USA edels@cs.uiuc.edu, US;(2) Raindrop Geomagic Inc. Champaign, IL 61820, USA, US |
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Abstract: | A new paradigm for designing smooth surfaces is described. A finite set of points with weights specifies a closed surface in space referred to as skin . It consists of one or more components, each tangent continuous and free of self-intersections and intersections with other components. The skin varies continuously with the weights and locations of the points, and the variation includes the possibility of a topology change facilitated by the violation of tangent continuity at a single point in space and time. Applications of the skin to molecular modeling and to geometric deformation are discussed. Received December 12, 1996, and in revised form December 4, 1997. |
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