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Discrete & Computational Geometry

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

Deformable Smooth Surface Design

  • H. Edelsbrunner

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.

Keywords

Smooth Surface Single Point Molecular Modeling Topology Change Closed Surface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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