Jean-Daniel Boissonnat, David Cohen-Steiner, Bernard Mourrain, Günter Rote, and Gert Vegter:

Meshing of surfaces

In: Effective Computational Geometry for Curves and Surfaces. Editors: Jean-Daniel Boissonnat and Monique Teillaud, Chapter 5. Mathematics and Visualization, Springer-Verlag, 2006, pp. 181–229. doi:10.1007/978-3-540-33259-6_5

Abstract

Meshing is the process of computing, for a given surface, a representation consisting of pieces of simple surface patches, like triangles. This survey discusses all currently known surface (and curve) meshing algorithms that come with correctness and quality guarantees.

Erratum

In the definitions of ambient isotopy and isotopy (Definition 1 and 2), the condition that the isotopy starts out as the identity has been forgotten: γ(.,0) should be the identity map on its respective domain.
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Last update: November 1, 2021.