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Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 2009, Volume 198, Issue 47, pp. 3765 - 3781
In this paper a Geometric – formulation to solve eddy-current problems on a tetrahedral mesh is presented. When non-simply-connected conducting regions are... 
Scalar potential in multiply-connected regions | Computational homology | Homology generators | Eddy-currents | Belted tree | Automatic cut generation
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 10/2009, Volume 198, Issue 47-48, pp. 3765 - 3781
In this paper a Geometric T-[Omega] formulation to solve eddy-current problems on a tetrahedral mesh is presented. When non-simply-connected conducting regions... 
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 08/2010, Volume 46, Issue 8, pp. 3069 - 3072
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 01/2010, Volume 48, Issue 4, pp. 1601 - 1601
Two algorithms based upon a tree-cotree decomposition, called in this paper spanning tree technique (STT) and generalized spanning tree technique (GSTT), have... 
Concretes | Trees | Algorithms | Numerical analysis | Computational electromagnetics | Homology | Decomposition | Failure
Journal Article
Pattern Recognition Letters, ISSN 0167-8655, 08/2012, Volume 33, Issue 11, pp. 1468 - 1476
► Linear time algorithm to cohomology generators computations for orientable open and closed 2d manifolds is presented. ► Extension to optimal cohomology... 
Computational cohomology | Combinatorial 2-manifold | Cohomology generators | HOMOLOGY ALGORITHM | GENERALIZED MAPS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Algorithms
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 08/2010, Volume 46, Issue 8, p. 3069
The aim of the paper is to present an automatic and general technique, suitable with the [Formula Omitted] geometric eddy-current formulation, to impose... 
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 08/2010, Volume 46, Issue 8, pp. 3069 - 3072
The aim of the paper is to present an automatic and general technique, suitable with the A hbox - chi geometric eddy-current formulation, to impose sources... 
Formulations | Electric potential | Algorithms | Preprocessing | Voltage | Conductors | Robustness | Eddy current testing
Journal Article
2011, Lecture Notes in Computer Science, ISBN 9783642236716, Volume 6854, Issue 1
In this paper, we investigate the problem of analyzing the shape of obstacle-avoiding paths in a space. Given a d-dimensional space with holes, representing... 
Biometrics | Pattern Recognition | Computer Science | Data Mining and Knowledge Discovery | Computer Imaging, Vision, Pattern Recognition and Graphics | Document Preparation and Text Processing | Artificial Intelligence (incl. Robotics) | cohomology generators | trajectory planning problem | obstacle-avoidance
Book Chapter
Discrete & Computational Geometry, ISSN 0179-5376, 9/2011, Volume 46, Issue 2, pp. 361 - 388
Journal Article
The European Physical Journal - Applied Physics, ISSN 1286-0042, 2/2011, Volume 53, Issue 2
A technique based on a tree-cotree decomposition, called Spanning Tree Technique (STT) in this paper, has been shown to be simple and efficient to compute the... 
ELEMENTS | PHYSICS, APPLIED | EDDY-CURRENT FORMULATION | CUTS
Journal Article
11/2011
Electromagnetic modeling provides an interesting context to present a link between physical phenomena and homology and cohomology theories. Over the past... 
Mathematics - Algebraic Topology
Journal Article
2012, Lecture Notes in Computer Science, ISBN 9783642302374, Volume 7309
Homology computations recently gain vivid attention in science. New methods, enabling fast and memory efficient computations are needed in order to process... 
Computer Graphics | Pattern Recognition | Algebraic Topology | Computer Science | Image Processing and Computer Vision | Simulation and Modeling | Algorithm Analysis and Problem Complexity | acyclic subspace method | Homology algorithms | reduction algorithms
Book Chapter
2012, Lecture Notes in Computer Science, ISBN 9783642302374, Volume 7309
In this paper we present our ongoing research on applying computational topology to analysis of structure of similarities within a collection of text... 
Computer Graphics | Pattern Recognition | Algebraic Topology | Computer Science | Image Processing and Computer Vision | Simulation and Modeling | Algorithm Analysis and Problem Complexity | Text mining | Computational homology | Vector space model | Discrete Morse theory | Flag Complex | Computational topology
Book Chapter
Applicable Algebra in Engineering, Communication and Computing, ISSN 0938-1279, 4/2012, Volume 23, Issue 1, pp. 29 - 58
Journal Article
10/2012
In this paper we present a new approach to computing homology (with field coefficients) and persistent homology. We use concepts from discrete Morse theory, to... 
Journal Article
12/2012
The issue of computing (co)homology generators of a cell complex is gaining a pivotal role in various branches of science. While this issue can be rigorously... 
Journal Article
Communications in Computational Physics, ISSN 1815-2406, 2013, Volume 14, Issue 1, pp. 48 - 76
Journal Article
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