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123views more  MICS 2010»
10 years 11 months ago
On the Topology of Real Algebraic Plane Curves
We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of...
Jinsan Cheng, Sylvain Lazard, Luis Mariano Pe&ntil...
111views Hardware» more  DSD 2010»
10 years 12 months ago
Faults Coverage Improvement Based on Fault Simulation and Partial Duplication
— A method how to improve the coverage of single faults in combinational circuits is proposed. The method is based on Concurrent Error Detection, but uses a fault simulation to f...
Jaroslav Borecky, Martin Kohlik, Hana Kubatova, Pa...
142views more  CGF 2010»
11 years 10 days ago
Toward a Lagrangian Vector Field Topology
In this paper we present an extended critical point concept which allows us to apply vector field topology in the case of unsteady flow. We propose a measure for unsteadiness wh...
Raphael Fuchs, Jan Kemmler, Benjamin Schindler, J&...
11 years 1 months ago
Density of Critical Factorizations
Abstract. We investigate the density of critical factorizations of infinte sequences of words. The density of critical factorizations of a word is the ratio between the number of p...
Tero Harju, Dirk Nowotka
126views more  IJRR 2002»
11 years 1 months ago
Sensor-based Coverage of Unknown Environments
The goal of coverage path planning is to determine a path that passes a detector over all points in an environment. This work prescribes a provably complete coverage path planner ...
Ercan U. Acar, Howie Choset
123views Neural Networks» more  NN 2000»
11 years 1 months ago
Local minima and plateaus in hierarchical structures of multilayer perceptrons
Local minima and plateaus pose a serious problem in learning of neural networks. We investigate the hierarchical geometric structure of the parameter space of three-layer perceptr...
Kenji Fukumizu, Shun-ichi Amari
70views more  JMIV 2000»
11 years 1 months ago
The Topological Structure of Scale-Space Images
We investigate the "deep structure" of a scale-space image. The emphasis is on topology, i.e. we concentrate on critical points--pointswith vanishing gradient--and top-p...
Luc Florack, Arjan Kuijper
11 years 1 months ago
Enumeration of almost polynomial rational functions with given critical values
1 Rational functions and minimal factorizations of permutations Let f : C C be a rational function of degree n in one complex variable. A critical point of f is a point z C such...
Dmitri Panov, Dimitri Zvonkine
115views Education» more  CORR 2010»
11 years 1 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky
11 years 2 months ago
Detecting Critical Regions in Scalar Fields
Trivariate data is commonly visualized using isosurfaces or direct volume rendering. When exploring scalar fields by isosurface extraction it is often difficult to choose isoval...
Gunther H. Weber, Gerik Scheuermann, Bernd Hamann