Discrete & Computational Geometry

, Volume 21, Issue 1, pp 87–115 | Cite as

Deformable Smooth Surface Design

  • H. Edelsbrunner


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.


Smooth Surface Single Point Molecular Modeling Topology Change Closed Surface 
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Copyright information

© Springer-Verlag New York Inc. 1999

Authors and Affiliations

  • H. Edelsbrunner
    • 1
  1. 1.Department of Computer Science, University of Illinois, Urbana, IL 61801, USA edels@cs.uiuc.eduUS

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