Persistent homology transform for modeling shapes and surfaces
نویسندگان
چکیده
منابع مشابه
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The ability to perform shape retrieval based not only on full similarity, but also partial similarity is a key property for any content-based search engine. We prove that persistence diagrams can reveal a partial similarity between two shapes by showing a common subset of points. This can be explained using the MayerVietoris formulas that we develop for ordinary, relative and extended persisten...
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ژورنال
عنوان ژورنال: Information and Inference
سال: 2014
ISSN: 2049-8764,2049-8772
DOI: 10.1093/imaiai/iau011