Dynamic mesh optimization for polygonized implicit surfaces with sharp features

Yutaka Ohtake, Alexander Belyaev, Alexander Pasko

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


The paper presents a novel approach for accurate polygonization of implicit surfaces with sharp features. The approach is based on mesh evolution toward a given implicit surface with simultaneous control of the mesh vertex positions and mesh normals. Given an initial polygonization of an implicit surface, a mesh evolution process initialized by the polygonization is used. The evolving mesh converges to a limit mesh which delivers a high-quality approximation of the implicit surface. For analyzing how close the evolving mesh approaches the implicit surface, we use two error metrics: the metrics measure deviations of the mesh vertices from the implicit surface and deviations of mesh normals from the normals of the implicit surface.

Original languageEnglish
Pages (from-to)115-126
Number of pages12
JournalVisual Computer
Issue number2-3
Publication statusPublished - May 2003
Externally publishedYes


  • Implicit surfaces
  • Mesh evolution

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