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...
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 ...
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...
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...
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...