Cycle bases of graphs and sampled manifolds
نویسندگان
چکیده
منابع مشابه
Cycle bases of graphs and sampled manifolds
Point samples of a surface in R3 are the dominant output of a multitude of 3D scanning devices. The usefulness of these devices rests on being able to extract properties of the surface from the sample. We show that, under certain sampling conditions, the minimum cycle basis of a nearest neighbor graph of the sample encodes topological information about the surface and yields bases for the trivi...
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In this paper we study the cycle base structures of embedded graphs on surfaces. We first give a sufficient and necessary condition for a set of facial cycles to be contained in a minimum cycle base (or MCB in short) and then set up a 1-1 correspondence between the set of MCBs and the set of collections of nonseparating cycles which are in general positions on surfaces and are of shortest total...
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ژورنال
عنوان ژورنال: Computer Aided Geometric Design
سال: 2007
ISSN: 0167-8396
DOI: 10.1016/j.cagd.2006.07.001