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...
— 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...
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&...
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...
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 ...
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...
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...
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...
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...
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...