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» Enumerative Real Algebraic Geometry
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COMPGEOM
2005
ACM
13 years 9 months ago
On the exact computation of the topology of real algebraic curves
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...
Raimund Seidel, Nicola Wolpert
MICS
2010
123views more  MICS 2010»
13 years 6 months ago
On the Topology of Real Algebraic Plane Curves
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...
CSJM
2008
88views more  CSJM 2008»
13 years 7 months ago
A zero-dimensional approach to compute real radicals
The notion of real radicals is a fundamental tool in Real Algebraic Geometry. It takes the role of the radical ideal in Complex Algebraic Geometry. In this article I shall describ...
Silke J. Spang
ESA
2004
Springer
139views Algorithms» more  ESA 2004»
14 years 28 days ago
Comparing Real Algebraic Numbers of Small Degree
We study polynomials of degree up to 4 over the rationals or a computable real subfield. Our motivation comes from the need to evaluate predicates in nonlinear computational geome...
Ioannis Z. Emiris, Elias P. Tsigaridas
DCG
2002
62views more  DCG 2002»
13 years 7 months ago
Degrees of Real Wronski Maps
We study the map which sends vectors of polynomials into their Wronski determinants. This defines a projection map of a Grassmann variety which we call a Wronski map. Our main res...
A. Eremenko, Andrei Gabrielov