Isotopic implicit surface meshing | Zendy

JeanDaniel Boissonnat | Zendy; David CohenSteiner | Zendy; Gert Vegter | Zendy

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Isotopic implicit surface meshing

Author(s) -

JeanDaniel Boissonnat,

David CohenSteiner,

Gert Vegter

Publication year - 2004

Publication title -

hal (le centre pour la communication scientifique directe)

Language(s) - English

Resource type - Conference proceedings

DOI - 10.1145/1007352.1007401

Subject(s) - piecewise , surface (topology) , piecewise linear function , function (biology) , set (abstract data type) , computer science , zero (linguistics) , mathematical optimization , mathematics , algorithm , mathematical analysis , geometry , linguistics , philosophy , evolutionary biology , biology , programming language

This paper addresses the problem of piecewise linear approximation of implicit surfaces. We first give a criterion ensuring that the zero-set of a smooth function and the one of a piecewise linear approximation of it are isotopic. Then, we deduce from this criterion an implicit surface meshing algorithm certifying that the output mesh is isotopic to the actual implicit surface. This is the first algorithm achieving this goal in a provably correct way.

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