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Artículo
Proceedings of the Workshop on Computational Topology in Image Context 2010
(2010)
It has been an honor and a pleasure to organize the 3rd International Workshop on Computational Topology in Image Context, CTIC 2010, in Chipiona (Spain), this year, after it was held in Poitiers (France) in 2008 and in ...
Artículo
Counting excellent discrete Morse functions on compact orientable surfaces
(Universidad de Sevilla, 2010)
We obtain the number of non-homologically equivalent excellent discrete Morse functions defined on compact orientable surfaces. This work is a continuation of the study which has been done in [2, 4] for graphs.
Artículo
Tracking features in image sequences using discrete Morse functions
(Universidad de Sevilla, 2010)
The goal of this contribution is to present an application of discrete Morse theory to tracking features in image sequences. The proposed algorithm can be used for tracking moving figures in a filmed scene, for tracking ...
Artículo
Persistent homology and partial matching of shapes
(Universidad de Sevilla, 2010)
The ability to perform not only global matching but also partial matching is in-vestigated in computer vision and computer graphics in order to evaluate the performance of shape descriptors. In my talk I will consider the ...
Artículo
Towards optimality in discrete Morse Theory through chain homotopies
(Universidad de Sevilla, 2010)
Once a discrete Morse function has been defined on a finite cell complex, information about its homology can be deduced from its critical elements. The main objective of this paper is to define optimal discrete gradient ...
Artículo
Perfect discrete Morse functions on 2-complexes
(Universidad de Sevilla, 2010)
This paper is focused on the study of perfect discrete Morse functions on a 2-simplicial complex. These are those discrete Morse functions such that the number of critical i-simplices coincides with the i-th Betti number ...
Artículo
The efficiency of a homology algorithm based on discrete morse theory and coreductions (extended abstract)
(Universidad de Sevilla, 2010)
Two implementations of a homology algorithm based on the Forman’s discrete Morse theory combined with the coreduction method are presented. Their efficiency is compared with other implementations of homology algorithms.