50 search results - page 1 / 10 » On the topology of planar algebraic curves |
COMPGEOM
2009
ACM
13 years 12 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...
IMAMS
2007
13 years 6 months ago
2007
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...
COMPGEOM
2008
ACM
13 years 7 months ago
2008
ACM
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...
PG
2007
IEEE
13 years 11 months ago
2007
IEEE
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 ...
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...