【摘 要】
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Topological Persistence has proven to be a promising framework for dealing with problems conceing shape analysis and comparison.In this contexts,it was original
【机 构】
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FST-Fom Software Technology, Italy“,”Dipartimento di Matematica, Università di Bologna, Italy
论文部分内容阅读
Topological Persistence has proven to be a promising framework for dealing with problems conceing shape analysis and comparison.In this contexts,it was originally introduced by taking into account 1-dimensional properties of shapes,modeled by real-valued functions.More recently,Topological Persistence has been generalized to consider multidimensional properties of shapes,coded by vector-valued functions.This extension has led to introduce suitable shape descriptors,named the multidimensional persistence Betti numbers functions,and a distance to compare them,the so-called multidimensional matching distance.In this paper we propose a new computational framework to deal with the multidimensional matching distance.We start by proving some new theoretical results,and then we use them to formulate an algorithm for computing such a distance up to an arbitrary threshold error.
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