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Cellular Skeletons: A New Approach to Topological Skeletons with Geometric Features

 

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Opened Access Cellular Skeletons: A New Approach to Topological Skeletons with Geometric Features
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Author: González Lorenzo, Aldo
Bac, Alexandra
Mari, Jean-Luc
Real Jurado, Pedro
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 2015
Published in: Computer Analysis of Images and Patterns, 9257, 616-627.
Document type: Article
Abstract: This paper introduces a new kind of skeleton for binary volumes called the cellular skeleton. This skeleton is not a subset of voxels of a volume nor a subcomplex of a cubical complex: it is a chain complex together with a reduction from the original complex. Starting from the binary volume we build a cubical complex which represents it regarding 6 or 26-connectivity. Then the complex is thinned using the proposed method based on elementary collapses, which preserves significant geometric features. The final step reduces the number of cells using Discrete Morse Theory. The resulting skeleton is a reduction which preserves the homology of the original complex and the geometrical information of the output of the previous step. The result of this method, besides its skeletonization content, can be used for computing the homology of the original complex, which usually provides well shaped homology generators.
Size: 799.5Kb
Format: PDF

URI: http://hdl.handle.net/11441/38709

DOI: http://dx.doi.org/10.1007/978-3-319-23117-4_53

This work is under a Creative Commons License: 
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