Article
Weakly well-composed cell complexes over nD pictures
Author/s | Boutry, Nicolas
González Díaz, Rocío Jiménez Rodríguez, María José |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2019 |
Deposit Date | 2021-04-20 |
Published in |
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Abstract | In previous work we proposed a combinatorial algorithm to \locally repair" the
cubical complex Q(I) that is canonically associated with a given 3D picture
I. The algorithm constructs a 3D polyhedral complex P(I) which ... In previous work we proposed a combinatorial algorithm to \locally repair" the cubical complex Q(I) that is canonically associated with a given 3D picture I. The algorithm constructs a 3D polyhedral complex P(I) which is homotopy equivalent to Q(I) and whose boundary surface is a 2D manifold. A polyhedral complex satisfying these properties is called well-composed. In the present paper we extend these results to higher dimensions. We prove that for a given n- dimensional picture the obtained cell complex is well-composed in a weaker sense but is still homotopy equivalent to the initial cubical complex. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | MTM2015-67072-P |
Citation | Boutry, N., González Díaz, R. y Jiménez Rodríguez, M.J. (2019). Weakly well-composed cell complexes over nD pictures. Information Sciences, 499 (October 2019), 62-83. |
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