A dimension-dependent approximate Carathéodory theorem yields explicit contraction rates for Delaunay mesh refinement that exceed those of standard subdivision.
Red refinements of simplices into congruent subsimplices.Computers & Mathematics with Applications, 67(12):2199–2204, 2014
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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.