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Distributed boundary tracking using alpha and Delaunay-Cech shapes

 

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dc.creator Chintakunta, Harish es
dc.creator Krim, Hamid es
dc.date.accessioned 2015-07-02T09:26:03Z
dc.date.available 2015-07-02T09:26:03Z
dc.date.issued 2013 es
dc.identifier.issn 1885-4508 es
dc.identifier.uri http://hdl.handle.net/11441/26544
dc.description.abstract We demonstrate real time tracking of systematic failures in sensor networks, using distributed computation of the α−shape derived from the network. More generally, our work may be applied to tracking the boundary of any time varying object, whose data is captured in the form of a point cloud. We also demonstrate the use of a new geometric object called the Delaunay-Cech shape, which is geometrically more appropriate than an ˇ α−shape for some cases. 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. es
dc.format application/pdf es
dc.language.iso eng es
dc.publisher Universidad de Sevilla es
dc.relation.ispartof Image-A : Applicable Mathematics in Image Engineering, 3 (6), 33-36 es
dc.rights Atribución-NoComercial-SinDerivadas 4.0 España es
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/ es
dc.title Distributed boundary tracking using alpha and Delaunay-Cech shapes es
dc.type info:eu-repo/semantics/article es
dc.type.version info:eu-repo/semantics/publishedVersion es
dc.rights.accessrights info:eu-repo/semantics/openAccess es
dc.relation.publisherversion http://institucional.us.es/revistas/imagen_a/6/art_2.pdf es
dc.identifier.idus https://idus.us.es/xmlui/handle/11441/26544
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