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» Computation of the degree of rational maps between curves
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ISSAC
2004
Springer
67views Mathematics» more  ISSAC 2004»
14 years 26 days ago
Rational general solutions of algebraic ordinary differential equations
We give a necessary and sufficient condition for an algebraic ODE to have a rational type general solution. For an autonomous first order ODE, we give an algorithm to compute a r...
Ruyong Feng, Xiao-Shan Gao
SMA
2008
ACM
182views Solid Modeling» more  SMA 2008»
13 years 7 months ago
Voronoi diagram computations for planar NURBS curves
We present robust and efficient algorithms for computing Voronoi diagrams of planar freeform curves. Boundaries of the Voronoi diagram consist of portions of the bisector curves b...
Joon-Kyung Seong, Elaine Cohen, Gershon Elber
ANTS
2010
Springer
250views Algorithms» more  ANTS 2010»
13 years 11 months ago
A Subexponential Algorithm for Evaluating Large Degree Isogenies
An isogeny between elliptic curves is an algebraic morphism which is a group homomorphism. Many applications in cryptography require evaluating large degree isogenies between ellip...
David Jao, Vladimir Soukharev
CAGD
2004
121views more  CAGD 2004»
13 years 7 months ago
A conjecture on tangent intersections of surface patches
This note conjectures that if two surface patches intersect with G1 continuity along an entire curve, the probability is one that the curve is rational. This idea has significance...
Thomas W. Sederberg, Jianmin Zheng, Xiaowen Song
CORR
2010
Springer
110views Education» more  CORR 2010»
13 years 7 months ago
Construction of Rational Surfaces Yielding Good Codes
In the present article, we consider algebraic geometry codes on some rational surfaces. The estimate of the minimum distance is translated into a point counting problem on plane cu...
Alain Couvreur