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ISSAC
2009
Springer
171views Mathematics» more  ISSAC 2009»
13 years 11 months ago
Computing cylindrical algebraic decomposition via triangular decomposition
Cylindrical algebraic decomposition is one of the most important tools for computing with semi-algebraic sets, while triangular decomposition is among the most important approache...
Changbo Chen, Marc Moreno Maza, Bican Xia, Lu Yang
ISSAC
1989
Springer
77views Mathematics» more  ISSAC 1989»
13 years 9 months ago
A Parallel Implementation of the Cylindrical Algebraic Decomposition Algorithm
In this paper, we describe a parallelization scheme for Collins’ cylindrical algebraic decomposition algorithm for quantifier elimination in the theory of real closed fields. ...
B. David Saunders, Hong R. Lee, S. Kamal Abdali
COMPGEOM
2008
ACM
13 years 6 months ago
Exact geometric-topological analysis of algebraic surfaces
We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f
Eric Berberich, Michael Kerber, Michael Sagraloff
ISSAC
1992
Springer
95views Mathematics» more  ISSAC 1992»
13 years 9 months ago
Real Algebraic Closure of an Ordered Field: Implementation in Axiom
Real algebraic numbers appear in many Computer Algebra pro bJems. For inst ante the determination of a cylindrical algebraic decomposition for an euclidian space requires compu ti...
Renaud Rioboo
TASLP
2010
123views more  TASLP 2010»
13 years 3 months ago
Plane-Wave Decomposition of Acoustical Scenes Via Spherical and Cylindrical Microphone Arrays
Spherical and cylindrical microphone arrays offer a number of attractive properties such as direction-independent acoustic behavior and ability to reconstruct the sound field in ...
Dmitry N. Zotkin, Ramani Duraiswami, Nail A. Gumer...