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Mostrando ítems 31-40 de 51
Artículo
CAPD::RedHom - Reduction heuristics for homology algorithms
(Universidad de Sevilla, 2015)
We present an efficient software package for computing homology of sets, maps and filtrations represented as cubical, simplicial and regular CW complexes. The core homology computation is based on classical Smith ...
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
Interactive display of 2D and 3D discrete quadrics with controlled topology
(Universidad de Sevilla, 2013)
In this demonstration, we are going to propose an interactive animation of analytically defined discrete conics (quadrics in 2D) and discrete quadrics in 3D. The digitization is performed on the 2D quadratic equation: Ax2 ...
Artículo
Reconstructing persistent graph structures from noisy images
(Universidad de Sevilla, 2013)
Let a point cloud be a noisy dotted image of a graph on the plane. We present a new fast algorithm for reconstructing the original graph from the given point cloud. Degrees of vertices in the graph are found by methods of ...
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
Implementation of Integral based Digital Curvature Estimators in DGtal
(Universidad de Sevilla, 2013)
In many geometry processing applications, differential geometric quantities estimation such as curvature or normal vector field is an essential step. In [1], we have defined curvature estimators on digital shape boundaries ...
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
Characterizing Configurations of critical points through LBP Extended Abstract
(Universidad de Sevilla, 2015)
In this abstract we extend ideas and results submitted to [3] in which a new codification of Local Binary Patterns (LBP) is given using combinatorial maps and a method for obtaining a representative LBP image is developed ...
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.
Artículo
Mereotopological Patterns for Ontology Evolution and Debugging
(Universidad de Sevilla, 2010)
In this paper the foundational principles and the application of a mereotopological theory, the Region Connection Calculus, for controlling the revision of formal ontologies by means of visual arrangements is presented. ...