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ANTS
2004
Springer
114views Algorithms» more  ANTS 2004»
14 years 24 days ago
Montgomery Scalar Multiplication for Genus 2 Curves
Using powerful tools on genus 2 curves like the Kummer variety, we generalize the Montgomery method for scalar multiplication to the jacobian of these curves. Previously this metho...
Sylvain Duquesne
PKC
2010
Springer
210views Cryptology» more  PKC 2010»
13 years 9 months ago
Efficient Arithmetic on Hessian Curves
This paper considers a generalized form for Hessian curves. The family of generalized Hessian curves covers more isomorphism classes of elliptic curves. Over a finite filed Fq, it ...
Reza Rezaeian Farashahi, Marc Joye
CAGD
2006
94views more  CAGD 2006»
13 years 7 months ago
High order approximation of rational curves by polynomial curves
We show that many rational parametric curves can be interpolated, in a Hermite sense, by polynomial curves whose degree, relative to the number of data being interpolated, is lowe...
Michael S. Floater
HLK
2003
IEEE
14 years 20 days ago
Reconstruction of Objects with Jagged Edges through Rao-Blackwellized Fitting of Piecewise Smooth Subdivision Curves
In some applications objects are known to have nonsmooth or “jagged” edges, which are not well approximated by smooth curves. We use subdivision curves as a simple but flexib...
Michael Kaess, Frank Dellaert
WSCG
2003
155views more  WSCG 2003»
13 years 8 months ago
Optimal Curve Fitting to Digital Data
An optimal curve fitting technique has been developed which is meant to automatically provide a fit to any ordered digital data in plane. A more flexible class of rational cubic f...
Muhammad Sarfraz