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» Coinduction for Exact Real Number Computation
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TCS
2008
14 years 9 months ago
Real algebraic numbers and polynomial systems of small degree
We present exact and complete algorithms based on precomputed Sturm-Habicht sequences, discriminants and invariants, that classify, isolate with rational points and compare the re...
Ioannis Z. Emiris, Elias P. Tsigaridas
ESA
2004
Springer
139views Algorithms» more  ESA 2004»
15 years 2 months ago
Comparing Real Algebraic Numbers of Small Degree
We study polynomials of degree up to 4 over the rationals or a computable real subfield. Our motivation comes from the need to evaluate predicates in nonlinear computational geome...
Ioannis Z. Emiris, Elias P. Tsigaridas
67
Voted
CVPR
2001
IEEE
15 years 11 months ago
On Computing Exact Visual Hulls of Solids Bounded by Smooth Surfaces
This paper presents a method for computing the visual hull that is based on two novel representations: the rim mesh, which describes the connectivity of contour generators on the ...
Svetlana Lazebnik, Edmond Boyer, Jean Ponce
CAV
2009
Springer
123views Hardware» more  CAV 2009»
15 years 1 months ago
On Using Floating-Point Computations to Help an Exact Linear Arithmetic Decision Procedure
We consider the decision problem for quantifier-free formulas whose atoms are linear inequalities interpreted over the reals or rationals. This problem may be decided using satisf...
David Monniaux
COLT
1993
Springer
15 years 1 months ago
Bounding the Vapnik-Chervonenkis Dimension of Concept Classes Parameterized by Real Numbers
The Vapnik-Chervonenkis (V-C) dimension is an important combinatorial tool in the analysis of learning problems in the PAC framework. For polynomial learnability, we seek upper bou...
Paul W. Goldberg, Mark Jerrum