Topological mesh operators

  • Authors:
  • Thomas Lewiner;Hélio Lopes;Esdras Medeiros;Geovan Tavares;Luiz Velho

  • Affiliations:
  • Laboratório Matmídia, PUC-Rio, Rio de Janeiro, Brazil;Laboratório Matmídia, PUC-Rio, Rio de Janeiro, Brazil;Laboratório VISGRAF, IMPA, Rio de Janeiro, Brazil;Laboratório Matmídia, PUC-Rio, Rio de Janeiro, Brazil;Laboratório VISGRAF, IMPA, Rio de Janeiro, Brazil

  • Venue:
  • Computer Aided Geometric Design
  • Year:
  • 2010

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Abstract

In this paper we introduce an unified framework for topological manipulation on triangulated 2-manifolds with or without boundary. We show that there are two kinds of primitive operators on the underlying meshes: operators that change the topological characteristic of the mesh and operators that just modify its combinatorial structure. We present such operators and demonstrate that they provide a complete and coherent set of elementary operations for mesh construction and editing.