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DATE
1999
IEEE
101views Hardware» more  DATE 1999»
15 years 4 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 6 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 6 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 11 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
15 years 1 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