A dimension-dependent approximate Carathéodory theorem yields explicit contraction rates for Delaunay mesh refinement that exceed those of standard subdivision.
Sliver exudation.Journal of the ACM (JACM), 47(5):883–904, 2000
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Sharp approximate Carath\'eodory theorem and application to iterated Delaunay refinement
A dimension-dependent approximate Carathéodory theorem yields explicit contraction rates for Delaunay mesh refinement that exceed those of standard subdivision.