17 search results - page 1 / 4 » On the Topology of Real Algebraic Plane Curves |
MICS
2010
13 years 3 months ago
2010
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...
ISSAC
2007
Springer
13 years 11 months ago
2007
Springer
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
COMPGEOM
2009
ACM
13 years 11 months ago
2009
ACM
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...
COMPGEOM
2005
ACM
13 years 6 months ago
2005
ACM
We consider the problem of computing a representation of the plane graph induced by one (or more) algebraic curves in the real plane. We make no assumptions about the curves, in p...
AISC
1998
Springer
13 years 9 months ago
1998
Springer
There are various algorithms known for deciding the parametrizability (rationality) of a plane algebraic curve, and if the curve is rational, actually computing a parametrization....