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Topological Quadrangulations of Closed Triangulated Surfaces Using the Reeb Graph

  • Franck Hétroy
  • Dominique Attali
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2301)

Abstract

Although surfaces are more and more often represented by dense triangulations, it can be useful to convert them to B-spline surface patches, lying on quadrangles. This paper presents a method to construct coarse topological quadrangulations of closed triangulated surfaces, based on theoretical results about topological classification of surfaces and Morse theory. In order to compute a canonical set of generators, a Reeb graph is constructed on the surface using Dijkstra’s algorithm. Some results are shown on different surfaces.

Keywords

Subdivision Scheme Morse Theory Morse Function Triangulate Surface Canonical Generator 
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 2002

Authors and Affiliations

  • Franck Hétroy
    • 1
  • Dominique Attali
    • 1
  1. 1.LIS LaboratoryDomaine UniversitaireSaint Martin d’Hères cedexFrance

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