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CORR
2008
Springer
116views Education» more  CORR 2008»
13 years 4 months ago
On the Computation of the Topology of a Non-Reduced Implicit Space Curve
An algorithm is presented for the computation of the topology of a non-reduced space curve defined as the intersection of two implicit algebraic surfaces. It computes a Piecewise ...
Daouda Niang Diatta, Bernard Mourrain, Olivier Rua...
CAGD
2010
118views more  CAGD 2010»
13 years 4 months ago
Topology of 2D and 3D rational curves
In this paper we present algorithms for computing the topology of planar and space rational curves defined by a parametrization. The algorithms given here work directly with the p...
Juan Gerardo Alcázar, Gema María D&i...
SAC
2009
ACM
13 years 11 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
IMAMS
2007
157views Mathematics» more  IMAMS 2007»
13 years 6 months ago
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain
CAGD
2008
99views more  CAGD 2008»
13 years 4 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