Holes and dependences in an ordered complex.
Computer Aided Geometric Design（2019）
摘要
•Hole closing and opening operations that manipulate a complex.•Dependences between the holes in terms of a partial order on the cells.•Decoration of persistence diagram with structural information about the filtration.
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关键词
Computational topology,Shape reconstruction,Persistence diagrams,Bases in homology and cohomology,Alpha shapes,Computational experiments
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