AN O(n log log n)-TIME ALGORITHM FOR TRIANGULATING A SIMPLE POLYGON (1988)
by
Robert E. Tarjan
,
Christopher J. Van Wyk
| Citations: | 32 - 3 self |
BibTeX
@MISC{Tarjan88ano(n,
author = {Robert E. Tarjan and Christopher J. Van Wyk},
title = {AN O(n log log n)-TIME ALGORITHM FOR TRIANGULATING A SIMPLE POLYGON},
year = {1988}
}
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Abstract
Given a simple n-vertex polygon, the triangulation problem is to partition the interior of the polygon into n-2 triangles by adding n-3 nonintersecting diagonals. We propose an O(n log logn)-time algorithm for this problem, improving on the previously best bound of O (n log n) and showing that triangulation is not as hard as sorting. Improved algorithms for several other computational geometry problems, including testing whether a polygon is simple, follow from our result.
