A Time-Optimal Delaunay Refinement Algorithm in Two Dimensions

Computer Science – Computational Geometry

Scientific paper

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Scientific paper

We propose a new refinement algorithm to generate size-optimal
quality-guaranteed Delaunay triangulations in the plane. The algorithm takes
$O(n \log n + m)$ time, where $n$ is the input size and $m$ is the output size.
This is the first time-optimal Delaunay refinement algorithm.

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