Caltech logo Volume meshing algorithm

Observations:

  • For general point positions the Delaunay triangulation is unique (parallelism).
  • Constrained Delaunay triangulation in 3-D does not exist in general.
  • The boundary of the triangulated solid is rarely exact.
  • Delaunay triangulation does not provide any maxmin guarantees for element quality.
  • Algorithm:

    Parallelization:

  • Phase (i) scales as O(N^2/3 logN), and requires some interprocess communication (N=number of points).
  • Phase (ii) scales as O(N logN), and does not require any communication.
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