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MICS
2010
123views more  MICS 2010»
13 years 7 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...
ADG
2006
Springer
177views Mathematics» more  ADG 2006»
14 years 2 months ago
Recognition of Computationally Constructed Loci
Abstract. We propose an algorithm for automated recognition of computationally constructed curves and discuss several aspects of the recognition problem. Recognizing loci means det...
Peter Lebmeir, Jürgen Richter-Gebert
COMPGEOM
2008
ACM
13 years 10 months ago
Visualizing and exploring planar algebraic arrangements: a web application
A web application is presented to compute, plot, and interactively explore planar arrangements induced by algebraic plane curves of arbitrary degree. It produces accurate curve pl...
Pavel Emeliyanenko, Michael Kerber
COCOON
2005
Springer
14 years 2 months ago
Randomized Quicksort and the Entropy of the Random Source
Abstract. The worst-case complexity of an implementation of Quicksort depends on the random number generator that is used to select the pivot elements. In this paper we estimate th...
Beatrice List, Markus Maucher, Uwe Schöning, ...
COCOON
2005
Springer
14 years 2 months ago
A PTAS for a Disc Covering Problem Using Width-Bounded Separators
In this paper, we study the following disc covering problem: Given a set of discs of various radii on the plane, find a subset of discs to maximize the area covered by exactly on...
Zhixiang Chen, Bin Fu, Yong Tang, Binhai Zhu