@inproceedings{88910302993b434f9075ca422768094e,
title = "An upper bound on the average size of silhouettes",
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.",
keywords = "Polyhedron, Silhouette, Upper bound",
author = "Marc Glisse",
year = "2006",
month = jan,
day = "1",
doi = "10.1145/1137856.1137874",
language = "English",
isbn = "1595933409",
series = "Proceedings of the Annual Symposium on Computational Geometry",
publisher = "Association for Computing Machinery (ACM)",
pages = "105--111",
booktitle = "Proceedings of the Twenty-Second Annual Symposium on Computational Geometry 2006, SCG'06",
note = "22nd Annual Symposium on Computational Geometry 2006, SCG'06 ; Conference date: 05-06-2006 Through 07-06-2006",
}