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Chew's second algorithm

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Mesh generated with Chew's second algorithm text
Mesh of Lake Michigan generated with Triangle using Chew's second algorithm.

In mesh generation, Chew's second algorithm is an algorithm for creating quality constrained Delaunay triangulations. The algorithm takes a piecewise linear system (PLS) and returns a constrained Delaunay triangulation of only quality triangles. A triangle is considered poor-quality if it has a circumradius to shortest edge ratio larger than some prescribed threshold. It is a Delaunay refinement algorithm like the prototypical Ruppert's algorithm.

[1] [2]

Chew's second algorithm is the default quality mesh generator implemented in the freely available Triangle package.

References

  1. ^ Shewchuk, Jonathan (2002). "Delaunay refinement algorithms for triangular mesh generation". Computational Geometry: Theory and Applications. 22 (1–3): 21–74.
  2. ^ Chew, L. Paul (1993). "Guaranteed-quality mesh generation for curved surfaces". Proceedings of the Ninth Annual Symposium on Computational Geometry. pp. 274–280. {{cite conference}}: Unknown parameter |booktitle= ignored (|book-title= suggested) (help)