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ISSAC
2009
Springer
167views Mathematics» more  ISSAC 2009»
15 years 10 months ago
High order derivatives and decomposition of multivariate polynomials
In this paper, we present an improved method for decomposing multivariate polynomials. This problem, also known as the Functional Decomposition Problem (FDP) [17, 9, 27], is class...
Jean-Charles Faugère, Ludovic Perret
ICCTA
2007
IEEE
15 years 10 months ago
Covering a Set of Points in a Plane Using Two Parallel Rectangles
We consider the problem of finding two parallel rectangles, in arbitrary orientation, covering a given set of n points in a plane, such that the area of the larger rectangle is m...
Chandan Saha, Sandip Das
145
Voted
COMPGEOM
2003
ACM
15 years 9 months ago
Restricted delaunay triangulations and normal cycle
We address the problem of curvature estimation from sampled smooth surfaces. Building upon the theory of normal cycles, we derive a definition of the curvature tensor for polyhed...
David Cohen-Steiner, Jean-Marie Morvan
167
Voted
CIAC
2006
Springer
278views Algorithms» more  CIAC 2006»
15 years 7 months ago
Covering a Set of Points with a Minimum Number of Lines
We consider the minimum line covering problem: given a set S of n points in the plane, we want to find the smallest number l of straight lines needed to cover all n points in S. W...
Magdalene Grantson, Christos Levcopoulos
154
Voted
COCO
2008
Springer
100views Algorithms» more  COCO 2008»
15 years 5 months ago
Detecting Rational Points on Hypersurfaces over Finite Fields
We study the complexity of deciding whether a given homogeneous multivariate polynomial has a nontrivial root over a finite field. Given a homogeneous algebraic circuit C that com...
Swastik Kopparty, Sergey Yekhanin