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Journal Articles Graphical Models Year : 2003

Topological Quadrangulations of Closed Triangulated Surfaces using the Reeb Graph

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 for the construction of coarse topological quadrangulations of closed triangulated surfaces, based on Morse theory. In order to construct on the surface a quadrangulation of its canonical polygonal schema, we compute first a Reeb graph then a canonical set of generators embedded on the surface. Some results are shown on different surfaces.
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Dates and versions

inria-00001143 , version 1 (09-11-2016)

Identifiers

  • HAL Id : inria-00001143 , version 1

Cite

Franck Hétroy, Dominique Attali. Topological Quadrangulations of Closed Triangulated Surfaces using the Reeb Graph. Graphical Models, 2003, Special issue: Discrete Topology and Geometry for Image and Object Representation, 65 (1-3), pp.131-148. ⟨inria-00001143⟩
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