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- W2964262104 abstract "For a given point set S in a plane, we develop a distributed algorithm to compute the α−shape of S. α−shapes are well known geometric objects which generalize the idea of a convex hull, and provide a good definition for the shape of S. We assume that the distances between pairs of points which are closer than a certain distance r > 0 are provided, and we show constructively that this information is sufficient to compute the alpha shapes for a range of parameters, where the range depends on r. Such distributed algorithms are very useful in domains such as sensor networks, where each point represents a sensing node, the location of which is not necessarily known. We also introduce a new geometric object called the Delaunay-Cech shape, which is geometrically more appropriate than an α−shape for some cases, and show that it is topologically equivalent to α−shapes." @default.
- W2964262104 created "2019-07-30" @default.
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- W2964262104 date "2013-01-01" @default.
- W2964262104 modified "2023-09-24" @default.
- W2964262104 title "Distributed boundary tracking using alpha and Delaunay-Cech shapes" @default.
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