Three-Dimensional Digital Topology: The Genus.
作者： David G. Morgenthaler
DOI: 10.21236/ADA094339
关键词: Pure mathematics 、 Combinatorics 、 Digital image 、 Digital topology 、 Mathematics 、 Ring (mathematics) 、 Algebraic topology (object) 、 Binary number 、 Series (mathematics) 、 Topology (chemistry) 、 Genus (mathematics)
摘要: Abstract : This report is one of a series on the geometrical and topological properties three-dimensional digital images. In this report, we define genus subset array show that are consistent which those in ordinary (continuous) topology. Since approach here different than normally used two dimensions, also present two-dimensional case. The derivation allows us to make explicit what meant by hole an object (e.g., ring). We give algorithms for computing discuss importance contrast with genus. (Author)
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