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CG
2005
Springer
13 years 7 months ago
Smoothing an arc spline
Arc splines are G1 continuous curves made of circular arcs and straight-line segments. They have the advantages that the curvature of an arc spline is known and controlled at all ...
Zhong Li, Dereck S. Meek
ANTS
2008
Springer
111views Algorithms» more  ANTS 2008»
13 years 9 months ago
Computing L-Series of Hyperelliptic Curves
We discuss the computation of coefficients of the L-series associated to a hyperelliptic curve over Q of genus at most 3, using point counting, generic group algorithms, and p-adic...
Kiran S. Kedlaya, Andrew V. Sutherland
MICCAI
2005
Springer
14 years 8 months ago
Using the Fast Marching Method to Extract Curves with Given Global Properties
Abstract. Curves are often used as anatomical features to match surfaces that represent biological objects, such as the human brain. Automated and semi-automated methods for extrac...
Xiaodong Tao, Christos Davatzikos, Jerry L. Prince
ANTS
2010
Springer
252views Algorithms» more  ANTS 2010»
13 years 11 months ago
On a Problem of Hajdu and Tengely
Abstract. We answer a question asked by Hajdu and Tengely: The only arithmetic progression in coprime integers of the form (a2 , b2 , c2 , d5 ) is (1, 1, 1, 1). For the proof, we ï...
Samir Siksek, Michael Stoll
FOCM
2002
97views more  FOCM 2002»
13 years 7 months ago
On the Riemannian Geometry Defined by Self-Concordant Barriers and Interior-Point Methods
We consider the Riemannian geometry defined on a convex set by the Hessian of a selfconcordant barrier function, and its associated geodesic curves. These provide guidance for the...
Yu. E. Nesterov, Michael J. Todd