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» Computing Rational Bisectors
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TCS
2008
13 years 7 months ago
Approximate GCDs of polynomials and sparse SOS relaxations
The problem of computing approximate GCDs of several polynomials with real or complex coefficients can be formulated as computing the minimal perturbation such that the perturbed ...
Bin Li, Jiawang Nie, Lihong Zhi
DAC
2009
ACM
14 years 2 months ago
ARMS - automatic residue-minimization based sampling for multi-point modeling techniques
This paper describes an automatic methodology for optimizing sample point selection for using in the framework of model order reduction (MOR). The procedure, based on the maximiza...
Jorge Fernandez Villena, Luis Miguel Silveira
ESA
2004
Springer
139views Algorithms» more  ESA 2004»
14 years 1 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
ICALP
2004
Springer
14 years 1 months ago
A Domain Theoretic Account of Picard's Theorem
We present a domain-theoretic version of Picard’s theorem for solving classical initial value problems in Rn . For the case of vector fields that satisfy a Lipschitz condition, ...
Abbas Edalat, Dirk Pattinson
CGI
1999
IEEE
14 years 6 days ago
A Shape-Preserving Data Embedding Algorithm for NURBS Curves and Surfaces
Existing data embedding algorithms for polygonal meshes and their attributes can't be applied to the majority of (geometric) computer aided design (CAD) applications, for two...
Ryutarou Ohbuchi, Hiroshi Masuda, Masaki Aono