Buscar
Mostrando ítems 1-7 de 7
Capítulo de Libro
Homological computation using spanning trees
(2009)
We introduce here a new F2 homology computation algorithm based on a generalization of the spanning tree technique on a finite 3-dimensional cell complex K embedded in ℝ3. We demonstrate that the complexity of this algorithm ...
Capítulo de Libro
Cell AT-models for digital volumes
(2009)
In [4], given a binary 26-adjacency voxel-based digital volume V, the homological information (that related to n-dimensional holes: connected components, ”tunnels” and cavities) is extracted from a linear map (called ...
Capítulo de Libro
Decomposing cavities in digital volumes into products of cycles
(2009)
The homology of binary 3–dimensional digital images (digital volumes) provides concise algebraic description of their topology in terms of connected components, tunnels and cavities. Homology generators corresponding to ...
Capítulo de Libro
Advanced homology computation of digital volumes via cell complexes
(2008)
Given a 3D binary voxel-based digital object V, an algorithm for computing homological information for V via a polyhedral cell complex is designed. By homological information we understand not only Betti numbers, representative ...
Ponencia
Open Issues and Chances for Topological Pyramids
(PRIP, Vienna University of Technology, 2009)
High resolution image data require a huge amount of computational resources. Image pyramids have shown high performance and flexibility to reduce the amount of data while preserving the most relevant pieces of information, ...
Capítulo de Libro
Homological tree-based strategies for image analysis
(2009)
Homological characteristics of digital objects can be obtained in a straightforward manner computing an algebraic map φ over a finite cell complex K (with coefficients in the finite field F2={0,1}) which represents the ...
Capítulo de Libro
Integral operators for computing homology generators at any dimension
(2008)
Starting from an nD geometrical object, a cellular subdivision of such an object provides an algebraic counterpart from which homology information can be computed. In this paper, we develop a process to drastically reduce ...