Delaunay Triangulation of Imprecise Points Simplified and Extended

Suppose we want to compute the Delaunay triangulation of a set P whose points are restricted to a collection R of input regions known in advance. Building on recent work, we show how to leverage our knowledge of R for faster Delaunay computation. Our approach needs no fancy machinery and optimally handles a wide variety of inputs, e.g., overlapping disks of different sizes and fat regions.

keywords: Computational Geometry, Data Structures, Delaunay Triangulations, Data Imprecision, Quadtrees

Journal Article (peer-reviewed)

Kevin Buchin, Maarten Löffler, Pat Morin, Wolfgang Mulzer
Delaunay Triangulation of Imprecise Points Simplified and Extended
Algorithmica
61, 3, 674–693, 2011
http://dx.doi.org/10.1007/s00453-010-9430-0

Conference Proceedings (peer-reviewed)

Kevin Buchin, Maarten Löffler, Pat Morin, Wolfgang Mulzer
Delaunay Triangulation of Imprecise Points Simplified and Extended
Proc. 11th Algorithms and Data Structures Symposium
LNCS 5664, 131–143, 2009
http://dx.doi.org/10.1007/978-3-642-03367-4_12

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