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Approximating Polygonal Objects by Deformable Smooth Surfaces

  • Ho-lun Cheng
  • Tony Tan
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3618)

Abstract

We propose a method to approximate a polygonal object by a deformable smooth surface, namely the t-skin defined by Edelsbrunner for all 0< t < 1. We guarantee that they are homeomorphic and their Hausdorff distance is at most ε >0. Such construction makes it possible for fully automatic, smooth and robust deformation between two polygonal objects with different topologies. En route to our results, we also give an approximation of a polygonal object with a union of balls.

Keywords

Skin Surface Voronoi Cell Weighted Point Skin Body Voronoi Vertex 
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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Ho-lun Cheng
    • 1
  • Tony Tan
    • 1
  1. 1.School of ComputingNational University of Singapore 

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