Ponencia
Encoding Specific 3D Polyhedral Complexes Using 3D Binary Images
Autor/es | González Díaz, Rocío
Jiménez Rodríguez, María José Medrano Garfia, Belén |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2016 |
Fecha de depósito | 2019-07-04 |
Publicado en |
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ISBN/ISSN | 978-3-319-32359-6 0302-9743 |
Resumen | We build upon the work developed in [4] in which we presented
a method to “locally repair” the cubical complex Q(I) associated
to a 3D binary image I, to obtain a “well-composed” polyhedral complex
P(I), homotopy ... We build upon the work developed in [4] in which we presented a method to “locally repair” the cubical complex Q(I) associated to a 3D binary image I, to obtain a “well-composed” polyhedral complex P(I), homotopy equivalent to Q(I). There, we developed a new codification system for P(I), called ExtendedCubeMap (ECM) representation, that encodes: (1) the (geometric) information of the cells of P(I) (i.e., which cells are presented and where), under the form of a 3D grayscale image gP ; (2) the boundary face relations between the cells of P(I), under the form of a set BP of structuring elements. In this paper, we simplify ECM representations, proving that geometric and topological information of cells can be encoded using just a 3D binary image, without the need of using colors or sets of structuring elements. We also outline a possible application in which well-composed polyhedral complexes can be useful. |
Identificador del proyecto | FQM-369
MTM2012-32706 MTM2015-67072-P |
Cita | González Díaz, R., Jiménez Rodríguez, M.J. y Medrano Garfia, B. (2016). Encoding Specific 3D Polyhedral Complexes Using 3D Binary Images. En DGCI 2016: 19th IAPR International Conference on Discrete Geometry for Computer Imagery (268-281), Nantes, France: Springer. |
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