A practical delaunay meshing algorithm for a large class of domains

Siu Wing Cheng, Tamal K. Dey, Joshua A. Levine

Research output: Chapter in Book/Report/Conference proceedingConference contribution

62 Scopus citations


Recently a Delaunay refinement algorithm has been proposed that can mesh domains as general as piecewise smooth complexes [7]. This class includes polyhedra, smooth and piecewise smooth surfaces, volumes enclosed by them, and above all non-manifolds. In contrast to previous approaches, the algorithm does not impose any restriction on the input angles. Although this algorithm has a provable guarantee about topology, certain steps are too expensive to make it practical. In this paper we introduce a novel modification of the algorithm to make it im-plementable in practice. In particular, we replace four tests of the original algorithm with only a single test that is easy to implement. The algorithm has the following guarantees. The output mesh restricted to each manifold element in the complex is a manifold with proper incidence relations. More importantly, with increasing level of refinement which can be controlled by an input parameter, the output mesh becomes homeomorphic to the input while preserving all input features. Implementation results on a disparate array of input domains are presented to corroborate our claims.

Original languageEnglish (US)
Title of host publicationProceedings of the 16th International Meshing Roundtable, IMR 2007
Number of pages18
StatePublished - 2008
Externally publishedYes
Event16th International Meshing Roundtable, IMR 2007 - Seattle, WA, United States
Duration: Oct 14 2007Oct 17 2007

Publication series

NameProceedings of the 16th International Meshing Roundtable, IMR 2007


Other16th International Meshing Roundtable, IMR 2007
Country/TerritoryUnited States
CitySeattle, WA

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Modeling and Simulation


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