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» Computing singular points of plane rational curves
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SIAMSC
2011
115views more  SIAMSC 2011»
13 years 2 months ago
A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves
A scheme is presented for the numerical solution of singular integral equations on piecewise smooth curves. It relies on several techniques: reduction, Nystr¨om discretization, co...
Johan Helsing
ANTS
2006
Springer
79views Algorithms» more  ANTS 2006»
13 years 11 months ago
Computing a Lower Bound for the Canonical Height on Elliptic Curves over Q
Let E be an elliptic curve over the rationals. A crucial step in determining a Mordell-Weil basis for E is to exhibit some positive lower bound > 0 for the canonical height ^h ...
John Cremona, Samir Siksek
COMGEO
2006
ACM
13 years 7 months ago
A result about the density of iterated line intersections in the plane
Let S be a finite set of points in the plane and let T (S) be the set of intersection points between pairs of lines passing through any two points in S. We characterize all configu...
Christopher J. Hillar, Darren L. Rhea
ANTS
2004
Springer
74views Algorithms» more  ANTS 2004»
14 years 27 days ago
Rational Divisors in Rational Divisor Classes
We discuss the situation where a curve C, defined over a number field K, has a known K-rational divisor class of degree 1, and consider whether this class contains an actual K-ra...
Nils Bruin, E. Victor Flynn
IJCV
2002
111views more  IJCV 2002»
13 years 7 months ago
Linear Multi View Reconstruction and Camera Recovery Using a Reference Plane
This paper presents a linear algorithm for simultaneous computation of 3D points and camera positions from multiple perspective views based on having a reference plane visible in a...
Carsten Rother, Stefan Carlsson