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CORR
2011
Springer
206views Education» more  CORR 2011»
13 years 1 months ago
Arrangement Computation for Planar Algebraic Curves
We present a new certified and complete algorithm to compute arrangements of real planar algebraic curves. Our algorithm provides a geometric-topological analysis of the decompos...
Eric Berberich, Pavel Emeliyanenko, Alexander Kobe...
COMPGEOM
2009
ACM
14 years 23 days ago
On the topology of planar algebraic 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...
MICS
2010
123views more  MICS 2010»
13 years 4 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...
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
14 years 12 days ago
Fast and exact geometric analysis of real algebraic plane curves
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...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert
ASPLOS
2009
ACM
14 years 6 months ago
QR decomposition on GPUs
QR decomposition is a computationally intensive linear algebra operation that factors a matrix A into the product of a unitary matrix Q and upper triangular matrix R. Adaptive sys...
Andrew Kerr, Dan Campbell, Mark Richards