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• W2148676644 abstract "In this paper we discuss the adaptation of the methods of homology from algebraic topology to the problem of pattern recognition in point cloud data sets. The method is referred to as persistent homology , and has numerous applications to scientific problems. We discuss the definition and computation of homology in the standard setting of simplicial complexes and topological spaces, then show how one can obtain useful signatures, called barcodes, from finite metric spaces, thought of as sampled from a continuous object. We present several different cases where persistent homology is used, to illustrate the different ways in which the method can be applied." @default.
• W2148676644 created "2016-06-24" @default.
• W2148676644 creator A5055887774 @default.
• W2148676644 date "2014-05-01" @default.
• W2148676644 modified "2023-10-01" @default.
• W2148676644 title "Topological pattern recognition for point cloud data" @default.
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• W2148676644 doi "https://doi.org/10.1017/s0962492914000051" @default.
• W2148676644 hasPublicationYear "2014" @default.
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