The farthest point Delaunay triangulation minimizes angles
نویسندگان
چکیده
منابع مشابه
The Farthest Point Delaunay Triangulation Minimizes Angles
We show that the planar dual to the Euclidean farthest point Voronoi diagram for the set of vertices of a convex polygon has the lexicographic minimum possible sequence of triangle angles, sorted from sharpest to least sharp. As a consequence, the sharpest angle determined by three vertices of a convex polygon can be found in linear time.
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Voronoi diagrams are a classical tool for analyzing spatial neighborhood relations. For point elds the spatial proximity can be easily visualized by the dual graph, the Delaunay triangulation. In image analysis VDs and DTs are commonly used to derive neighborhoods for grouping or for relational matching. Neighborhood relations derived from the VD, however, are uncertain in case the common side ...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 1992
ISSN: 0925-7721
DOI: 10.1016/0925-7721(92)90013-i