Comparing shapes through multi-scale approximations of the matching distance

Bibliographic description

punktacja MEiN [2014 A]: 35

title:	Comparing shapes through multi-scale approximations of the matching distance
author:	Cerri Andrea, Di Fabio Barbara, Jabłoński Grzegorz , Medri Filippo
journal title:	Computer Vision and Image Understanding
volume:	121
date of publication :	2014
pages:	43-56
ISSN:	1077-3142
eISSN:	1090-235X
DOI:	10.1016/j.cviu.2013.11.004
language:	English
journal language:	English
abstract in English:	Two of the main ingredients of topological persistence for shape comparison are persistence diagrams and the matching distance. Persistence diagrams are signatures capturing meaningful properties of shapes, while the matching distance can be used to stably compare them. From the application viewpoint, one drawback of these tools is the computational cost for evaluating the matching distance. In this paper we introduce a new framework for the matching distance estimation: It preserves the reliability of the entire approach in comparing shapes, extremely reducing the computational cost. Theoretical results are supported by experiments on 3D-models.
affiliation:	Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej
type:	journal article
subtype:	academic paper

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