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Minimum Weight Triangulations

In: Handbook of Combinatorial Optimization

Author

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  • Yin-Feng Xu

    (Xi’an Jiaotong University, School of Management)

Abstract

A triangulation of a given set S of n points in the plane is a maximal set of non-crossing line segments (called edges) which have both endpoints in S. A triangulation partitions the interior of the convex hull of the given point set into triangles. It is used in many areas of engineering and scientific applications such as finite element methods, approximation theory, numerical computation, computer-aided geometric design, and etc.

Suggested Citation

  • Yin-Feng Xu, 1998. "Minimum Weight Triangulations," Springer Books, in: Ding-Zhu Du & Panos M. Pardalos (ed.), Handbook of Combinatorial Optimization, pages 1363-1380, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-0303-9_22
    DOI: 10.1007/978-1-4613-0303-9_22
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