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arXiv · 1604.01428

S-hull: a fast radial sweep-hull routine for Delaunay triangulation

David Sinclair
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Abstract

A new O(nlog(n)) algorithm is presented for performing Delaunay triangulation of sets of 2D points. The novel component of the algorithm is a radially propagating \emph{sweep-hull} (sequentially created from the radially sorted set of 2D points, giving a non-overlapping triangulation), paired with a final triangle flipping step to give the Delaunay triangluation. In empirical tests the algorithm runs in approximately half the time of q-hull for 2D Delaunay triangulation on randomly generated point sets.

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David Sinclair. 2016-03-18. S-hull: a fast radial sweep-hull routine for Delaunay triangulation. https://arxiv.org/abs/1604.01428

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