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.
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Received December 12, 1996, and in revised form December 4, 1997.
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Edelsbrunner, H. Deformable Smooth Surface Design. Discrete Comput Geom 21, 87–115 (1999). https://doi.org/10.1007/PL00009412
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DOI: https://doi.org/10.1007/PL00009412