An upper bound on the average size of silhouettes
Identifieur interne : 005622 ( Main/Curation ); précédent : 005621; suivant : 005623An upper bound on the average size of silhouettes
Auteurs : Marc Glisse [France]Source :
Descripteurs français
- Pascal (Inist)
English descriptors
Abstract
It is a widely observed phenomenon in computer graphics that the size of the silhouette of a polyhedron is much smaller than the size of the whole polyhedron. This paper provides for the first time theoretical evidence supporting this for a large class of objects, namely for polyhedra that approximate surfaces in some reasonable way; the surfaces may not be convex or differentiable and they may have boundaries. We prove that such polyhedra have silhouettes of expected size O(√n) where the average is taken over all points of view and n is the complexity of the polyhedron.
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Pascal:06-0524896Le document en format XML
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<author><name sortKey="Glisse, Marc" sort="Glisse, Marc" uniqKey="Glisse M" first="Marc" last="Glisse">Marc Glisse</name>
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<sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">An upper bound on the average size of silhouettes</title>
<author><name sortKey="Glisse, Marc" sort="Glisse, Marc" uniqKey="Glisse M" first="Marc" last="Glisse">Marc Glisse</name>
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<front><div type="abstract" xml:lang="en">It is a widely observed phenomenon in computer graphics that the size of the silhouette of a polyhedron is much smaller than the size of the whole polyhedron. This paper provides for the first time theoretical evidence supporting this for a large class of objects, namely for polyhedra that approximate surfaces in some reasonable way; the surfaces may not be convex or differentiable and they may have boundaries. We prove that such polyhedra have silhouettes of expected size O(√n) where the average is taken over all points of view and n is the complexity of the polyhedron.</div>
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