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A multi-scale topological shape model for single and multiple component shapes

Corcoran, Padraig ORCID:, Zunic, Jovisa and Rosin, Paul ORCID: 2019. A multi-scale topological shape model for single and multiple component shapes. Journal of Visual Communication and Image Representation 64 , 102617. 10.1016/j.jvcir.2019.102617

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A novel shape model of multi-scale topological features is proposed which considers those features relating to connected components and holes. This is achieved by considering the \textit{persistent homology} of a pair of sublevel set functions corresponding to a pair of distance functions defined on the ambient space. The model is applicable to both single and multiple component shapes and, to the authors knowledge, is the first shape model to consider multi-scale topological features of multiple component shapes. It is demonstrated, both qualitatively and quantitatively, that the proposed model models useful multi-scale topological features and outperforms a commonly used benchmark models with respect to the task of multiple component shape retrieval.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Publisher: Elsevier
ISSN: 1047-3203
Date of First Compliant Deposit: 21 October 2019
Date of Acceptance: 22 August 2019
Last Modified: 07 Nov 2023 04:31

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