Volume-Optimal Cycle: Tightest Representative Cycle of a Generator in Persistent Homology
نویسندگان
چکیده
منابع مشابه
Volume Optimal Cycle: Tightest representative cycle of a generator on persistent homology
This paper shows a mathematical formalization, algorithms and computation software of volume optimal cycles, which are useful to understand geometric features shown in a persistence diagram. Volume optimal cycles give us concrete and optimal homologous structures, such as rings or cavities, on a given data. The key idea is the optimality on (q + 1)-chain complex for a qth homology generator. Th...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Algebra and Geometry
سال: 2018
ISSN: 2470-6566
DOI: 10.1137/17m1159439