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DATE
1999
IEEE
101views Hardware» more  DATE 1999»
15 years 2 months ago
Polynomial Methods for Allocating Complex Components
Methods for performing component matching by expressing an arithmetic specification and a bit-level description of an implementation as word-level polynomials have been demonstrat...
James Smith, Giovanni De Micheli
IROS
2007
IEEE
92views Robotics» more  IROS 2007»
15 years 4 months ago
A space decomposition method for path planning of loop linkages
— This paper introduces box approximations as a new tool for path planning of closed-loop linkages. Box approximations are finite collections of rectangloids that tightly envelo...
Josep M. Porta, Juan Cortés, Lluís R...
CASC
2007
Springer
108views Mathematics» more  CASC 2007»
15 years 3 months ago
Comprehensive Triangular Decomposition
We introduce the concept of comprehensive triangular decomposition (CTD) for a parametric polynomial system F with coefficients in a field. In broad words, this is a finite part...
Changbo Chen, Oleg Golubitsky, François Lem...
IJAC
2006
87views more  IJAC 2006»
14 years 9 months ago
Evaluation Properties of Symmetric Polynomials
By the fundamental theorem of symmetric polynomials, if P Q[X1, . . . , Xn] is symmetric, then it can be written P = Q(1, . . . , n), where 1, . . . , n are the elementary symmet...
Pierrick Gaudry, Éric Schost, Nicolas M. Th...
COMPGEOM
2008
ACM
14 years 11 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