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SAC
2009
ACM
14 years 5 months ago
Topology determination and isolation for implicit plane curves
A method is proposed to generate an isolation for a plane curve, which is a set of boxes covering the curve, having the same topology as the curve, and approximating the curve to a...
Jin-San Cheng, Xiao-Shan Gao, Jia Li
PG
2007
IEEE
14 years 5 months ago
Visualisation of Implicit Algebraic Curves
We describe a new algorithm for the visualisation of implicit algebraic curves, which isolates the singular points, compute the topological degree around these points in order to ...
Lionel Alberti, Bernard Mourrain
MICS
2010
123views more  MICS 2010»
13 years 9 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...
JSC
2008
126views more  JSC 2008»
13 years 9 months ago
Computing singular points of plane rational curves
We compute the singular points of a plane rational curve, parametrically given, using the implicitization matrix derived from the -basis of the curve. It is shown that singularity...
Falai Chen, Wenping Wang, Yang Liu
CAGD
2008
99views more  CAGD 2008»
13 years 11 months ago
Topology and arrangement computation of semi-algebraic planar curves
We describe a new subdivision method to efficiently compute the topology and the arrangement of implicit planar curves. We emphasize that the output topology and arrangement are g...
Lionel Alberti, Bernard Mourrain, Julien Wintz