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Persistent homology and partial matching of shapes


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Opened Access Persistent homology and partial matching of shapes
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Author: Landi, Claudia
Date: 2010
Published in: Image-A : Applicable Mathematics in Image Engineering, 1 (1), 13-16
Document type: Article
Abstract: The ability to perform not only global matching but also partial matching is in-vestigated in computer vision and computer graphics in order to evaluate the performance of shape descriptors. In my talk I will consider the persistent homology shape descriptor, and Iwill illustrate some results about persistence diagrams of occluded shapes and partial shapes. The main tool is a Mayer-Vietoris formula for persistent homology. Theoretical results indicate that persistence diagrams are able to detect a partial matching between shapes by showing a common subset of points both in the one-dimensional and the multi-dimensionalsetting. Experiments will be presented which outline the potential of the proposed approach in recognition tasks in the presence of partial information
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