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COMPGEOM
1989
ACM
13 years 11 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
DGCI
2008
Springer
13 years 9 months ago
Decomposition and Construction of Neighbourhood Operations Using Linear Algebra
In this paper, we introduce a method to express a local linear operated in the neighbourhood of each point in the discrete space as a matrix transform. To derive matrix expressions...
Atsushi Imiya, Yusuke Kameda, Naoya Ohnishi
COMPGEOM
2011
ACM
12 years 11 months ago
A generic algebraic kernel for non-linear geometric applications
We report on a generic uni- and bivariate algebraic kernel that is publicly available with Cgal 3.7. It comprises complete, correct, though efficient state-of-the-art implementati...
Eric Berberich, Michael Hemmer, Michael Kerber
CCCG
2006
13 years 9 months ago
Bounded-Curvature Path Normalization
We present a new normal form for bounded-curvature paths that admits a combinatorial discription of such paths and a bound on the algebraic complexity of the underlying geometry.
Jonathan Backer, David G. Kirkpatrick
TCOM
2008
155views more  TCOM 2008»
13 years 7 months ago
Construction of nonbinary cyclic, quasi-cyclic and regular LDPC codes: a finite geometry approach
This paper presents five methods for constructing nonbinary LDPC codes based on finite geometries. These methods result in five classes of nonbinary LDPC codes, one class of cyclic...
Lingqi Zeng, Lan Lan, Ying Yu Tai, Bo Zhou, Shu Li...