Chapter of Book
Getting topological information for a 80-adjacency doxel-based 4D volume through a polytopal cell complex
Author/s | Pacheco Martínez, Ana María
Real Jurado, Pedro |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2009 |
Deposit Date | 2015-12-15 |
Published in |
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Abstract | Given an 80-adjacency doxel-based digital four-dimensional hypervolume V, we construct here an associated oriented 4–dimensional polytopal cell complex K(V), having the same integer homological information (that related ... Given an 80-adjacency doxel-based digital four-dimensional hypervolume V, we construct here an associated oriented 4–dimensional polytopal cell complex K(V), having the same integer homological information (that related to n-dimensional holes that object has) than V. This is the first step toward the construction of an algebraic-topological representation (AT-model) for V, which suitably codifies it mainly in terms of its homological information. This AT-model is especially suitable for global and local topological analysis of digital 4D images. |
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