54 search results - page 3 / 11 » Real Parametrization of Algebraic Curves |
DIMACS
2001
13 years 7 months ago
2001
Let C be a smooth real plane curve. Let c be its degree and g its genus. We assume that C has at least g real branches. Let d be a nonzero natural integer strictly less than c. Let...
MICS
2010
13 years 4 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...
PG
2007
IEEE
14 years 13 days ago
2007
IEEE
We overview a new method for computing the arrangement of semi-algebraic curves. A subdivision approach is used to compute the topology of the algebraic objects and to segment the...
COMPGEOM
2005
ACM
13 years 8 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...
COMPGEOM
1989
ACM
13 years 10 months ago
1989
ACM
We present algorithms that decompose an algebraic curve with rational coefficients in its defining bivariate equation into its irreducible real factors and its non-empty irreducib...