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Computing Three-dimensional Constrained Delaunay Refinement Using the GPU

Graphics 2019-03-11 v1

Abstract

We propose the first GPU algorithm for the 3D triangulation refinement problem. For an input of a piecewise linear complex G\mathcal{G} and a constant BB, it produces, by adding Steiner points, a constrained Delaunay triangulation conforming to G\mathcal{G} and containing tetrahedra mostly of radius-edge ratios smaller than BB. Our implementation of the algorithm shows that it can be an order of magnitude faster than the best CPU algorithm while using a similar amount of Steiner points to produce triangulations of comparable quality.

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Cite

@article{arxiv.1903.03406,
  title  = {Computing Three-dimensional Constrained Delaunay Refinement Using the GPU},
  author = {Zhenghai Chen and Tiow-Seng Tan},
  journal= {arXiv preprint arXiv:1903.03406},
  year   = {2019}
}
R2 v1 2026-06-23T08:02:11.264Z