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» Enumerative Real Algebraic Geometry
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DIMACS
2001
13 years 7 months ago
Visibility Computations: From Discrete Algorithms to Real Algebraic Geometry
We investigate visibility computations with moving viewpoints. The initial problems are of discrete and algorithmic nature, but even for simple classes of objects (such as balls an...
Thorsten Theobald
JC
2000
78views more  JC 2000»
13 years 5 months ago
Finding at Least One Point in Each Connected Component of a Real Algebraic Set Defined by a Single Equation
Deciding efficiently the emptiness of a real algebraic set defined by a single equation is a fundamental problem of computational real algebraic geometry. We propose an algorithm ...
Fabrice Rouillier, Marie-Françoise Roy, Moh...
COMPGEOM
1989
ACM
13 years 9 months ago
Computing the Irreducible Real Factors and Components of an Algebraic Curve
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...
Erich Kaltofen
AAECC
2010
Springer
132views Algorithms» more  AAECC 2010»
13 years 5 months ago
On the geometry of polar varieties
The aim of this paper is a comprehensive presentation of the geometrical tools which are necessary to prove the correctness of several up to date algorithms with intrinsic complex...
Bernd Bank, Marc Giusti, Joos Heintz, Mohab Safey ...