Area distances of Convex Plane Curves and Improper Affine Spheres

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dc.creatorCraizer, Marcos
dc.creatorAlvim, Moacyr
dc.creatorTeixeira, Ralph
dc.date2007-10-09
dc.date2008-01-28
dc.date.accessioned2026-07-07T08:56:22Z
dc.date.available2026-07-07T08:56:22Z
dc.descriptionThe area distance to a convex plane curve is an important concept in computer vision. In this paper we describe a strong link between area distances and improper affine spheres. This link makes possible a better understanding of both theories. The concepts of the theory of affine spheres lead to a new definition of an area distance on the outer part of a convex plane arc. Also, based on the theory of discrete affine spheres, we propose fast algorithms to compute the area distances. On the other hand, area distances provide a good geometrical understanding of improper affine spheres.
dc.description14 pages 18 figures
dc.identifierhttps://arxiv.org/abs/0710.1854
dc.identifierhttp://arxiv.org/abs/0710.1854
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146587
dc.subjectDifferential Geometry
dc.subject14R99
dc.titleArea distances of Convex Plane Curves and Improper Affine Spheres
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