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Título:
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Skeletal representations of orthogonal shapes
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Autor/a:
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Martínez Bayona, Jonás; Pla García, Núria; Vigo Anglada, Marc
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Otros autores:
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Universitat Politècnica de Catalunya. Departament de Llenguatges i Sistemes Informàtics; Universitat Politècnica de Catalunya. GIE - Grup d'Informàtica a l'Enginyeria |
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Abstract:
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In this paper we present two skeletal representations applied to orthogonal shapes of R^n : the cube axis and a family of skeletal representations provided by the scale cube axis. Orthogonal shapes are a subset of polytopes, where the hyperplanes of the bounding facets are restricted to be axis aligned. Both skeletal representations rely on the L∞ metric and are proven to be homotopically equivalent to its shape. The resulting skeleton is composed of n − 1 dimensional facets. We also provide an efficient and robust algorithm to compute the scale cube axis in the plane and compare the resulting skeleton with other skeletal representations. |
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Materia(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
-Straight skeleton
-Orthogonal
-L-inf distance
-Voronoi diagram |
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Derechos:
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Tipo de documento:
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Artículo - Versión publicada
Informe |
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