Presentation
Computing and reducing slope complexes
Author/s | Kropatsch, Walter G.
Moreno Casablanca, Rocío Batavia, Darshan González Díaz, Rocío |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2019 |
Deposit Date | 2021-09-09 |
Published in |
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ISBN/ISSN | 978-3-030-10827-4 0302-9743 |
Abstract | In this paper we provide a new characterization of cell de-
composition (called slope complex) of a given 2-dimensional continuous
surface. Each patch (cell) in the decomposition must satisfy that there
exists a monotonic ... In this paper we provide a new characterization of cell de- composition (called slope complex) of a given 2-dimensional continuous surface. Each patch (cell) in the decomposition must satisfy that there exists a monotonic path for any two points in the cell. We prove that any triangulation of such surface is a slope complex and explain how to obtain new slope complexes with a smaller number of slope regions decomposing the surface. We give the minimal number of slope regions by counting certain bounding edges of a triangulation of the surface obtained from its critical points. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | MTM2015-67072-P |
Citation | Kropatsch, W.G., Moreno Casablanca, R., Batavia, D. y González Díaz, R. (2019). Computing and reducing slope complexes. En CTIC 2019: 7th International Workshop on Computational Topology in Image Context (12-25), Málaga, España: Springer. |
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