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Multi-scale approaches for the matching distance estimation

Cerri, Andrea ; Di Fabio, Barbara ; Jablonski, Grzegorz ; Medri, Filippo (2012) Multi-scale approaches for the matching distance estimation. [Preprint]

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Abstract

This paper deals with the concepts of persistence diagram and matching distance. These are two of the main ingredients of Topological Persistence, which has proven to be a promising framework for shape comparison. Persistence diagrams are descriptors providing a signature of the shapes under study, while the matching distance is a metric to compare them. One drawback in the application of these tools is the computational cost for the evaluation of the matching distance. The aim of the present paper is to introduce a new framework for the approximation of the matching distance, which does not affect the reliability of the entire approach in comparing shapes, and extremely reduces the computational cost. This is shown through experiments on 3D-models.

Document type:Preprint
Uncontrolled Keywords:Persistence diagram, shape analysis, dissimilarity criterion
Subjects:Area 01 - Scienze matematiche e informatiche > MAT/03 Geometria
DOI:10.6092/unibo/amsacta/3498
Depositato da:Barbara Di Fabio
Depositato il:10 Oct 2012 10:30
Last modified:29 Jan 2013 11:25

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