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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
Obtaining cell complexes associated to four dimensional digital objects
(Universidad de Sevilla, 2010)
In this paper, we determine a cell complex representation of a 80–adjacent doxelbased 4-dimensional object. The homological information of this polyhedral cell complex can be employed to specify topological features and ...
Artículo
Human gait recognition using topological information
(Universidad de Sevilla, 2010)
This paper shows an image/video application using topological invariants in human gait recognition. The 3D volume of a gait cycle is built stacking silhouettes extracted using a background substraction approach. Ideally, ...