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» Exact numerical computation in algebra and geometry
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BMCBI
2007
129views more  BMCBI 2007»
13 years 7 months ago
Algebraic correction methods for computational assessment of clone overlaps in DNA fingerprint mapping
Background: The Sulston score is a well-established, though approximate metric for probabilistically evaluating postulated clone overlaps in DNA fingerprint mapping. It is known t...
Michael C. Wendl
ESA
2004
Springer
139views Algorithms» more  ESA 2004»
14 years 27 days 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
ISSAC
2007
Springer
130views Mathematics» more  ISSAC 2007»
14 years 1 months ago
On probabilistic analysis of randomization in hybrid symbolic-numeric algorithms
Algebraic randomization techniques can be applied to hybrid symbolic-numeric algorithms. Here we consider the problem of interpolating a sparse rational function from noisy values...
Erich Kaltofen, Zhengfeng Yang, Lihong Zhi
COMPGEOM
2006
ACM
14 years 1 months ago
Complete subdivision algorithms, I: intersection of Bezier curves
We give the first complete subdivision algorithm for the intersection of two Bezier curves F, G, possibly with tangential intersections. Our approach to robust subdivision algori...
Chee-Keng Yap
COMPGEOM
1995
ACM
13 years 11 months ago
Approximate Range Searching
The range searching problem is a fundamental problem in computational geometry, with numerous important applications. Most research has focused on solving this problem exactly, bu...
Sunil Arya, David M. Mount