A homological–based description of subdivided nD objects
We present here a topo–geometrical description of a subdivided nD object called homological spanning forest representation. This representation is a convenient tool in order to completely control not only geometrical, but also advanced topological information of a given object. By codifying the unde...
| Authors: | , |
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| Format: | book part |
| Status: | Versión enviada para evaluación y publicación |
| Publication Date: | 2011 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/32163 |
| Online Access: | http://hdl.handle.net/11441/32163 https://doi.org/10.1007/978-3-642-23672-3_6 |
| Access Level: | Open access |
| Keyword: | Pattern Recognition Biometrics Data Mining and Knowledge Discovery Computer Imaging Vision Pattern Recognition and Graphics Document Preparation and Text Processing Artificial Intelligence (incl. Robotics) |
| Summary: | We present here a topo–geometrical description of a subdivided nD object called homological spanning forest representation. This representation is a convenient tool in order to completely control not only geometrical, but also advanced topological information of a given object. By codifying the underlying algebraic topological machinery in terms of coordinate–based graphs, we progress in the task to “combinatorialize” homological information at two levels: local and global. Therefore, our method presents several advantages with respect to the existing Algebraic topological models, and techniques based in Discrete Morse Theory. A construction algorithm has been implemented, and some examples are shown. |
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