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90
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ANTS
2004
Springer
112views Algorithms» more  ANTS 2004»
15 years 6 months ago
Improved Weil and Tate Pairings for Elliptic and Hyperelliptic Curves
We present algorithms for computing the squared Weil and Tate pairings on an elliptic curve and the squared Tate pairing for hyperelliptic curves. The squared pairings introduced i...
Kirsten Eisenträger, Kristin Lauter, Peter L....
GD
2004
Springer
15 years 6 months ago
On the Realizable Weaving Patterns of Polynomial Curves in R3
We prove that the number of distinct weaving patterns produced by n semi-algebraic curves in R3 defined coordinate-wise by polynomials of degrees bounded by some constant d, is b...
Saugata Basu, Raghavan Dhandapani, Richard Pollack
100
Voted
ICCV
2005
IEEE
15 years 6 months ago
Conformal Metrics and True "Gradient Flows" for Curves
We wish to endow the manifold M of smooth curves in lRn with a Riemannian metric that allows us to treat continuous morphs (homotopies) between two curves c0 and c1 as trajectorie...
Anthony J. Yezzi, Andrea Mennucci
128
Voted
CGF
2011
14 years 4 months ago
Estimating Color and Texture Parameters for Vector Graphics
Diffusion curves are a powerful vector graphic representation that stores an image as a set of 2D Bezier curves with colors defined on either side. These colors are diffused over...
Stefan Jeschke, David Cline, Peter Wonka
115
Voted
PAIRING
2010
Springer
133views Cryptology» more  PAIRING 2010»
14 years 10 months ago
Pairing Computation on Elliptic Curves with Efficiently Computable Endomorphism and Small Embedding Degree
Scott uses an efficiently computable isomorphism in order to optimize pairing computation on a particular class of curves with embedding degree 2. He points out that pairing implem...
Sorina Ionica, Antoine Joux