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ASIACRYPT
2006
Springer
15 years 10 months ago
The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography
Abstract. The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined over large prime fields and suit...
Pierrick Gaudry, T. Houtmann, D. Kohel, Christophe...
ISSAC
1995
Springer
174views Mathematics» more  ISSAC 1995»
15 years 10 months ago
Numerical Uniformization of Hyperelliptic Curves
Abstract. In this paper we derive an algorithm that computes, for a given algebraic hyperelliptic plane curve C of genus p, p > 1, defined by a polynomial y2 = (x−λ1) · · ...
Klaus-Dieter Semmler, Mika Seppälä
JSC
2008
85views more  JSC 2008»
15 years 6 months ago
Descent via isogeny on elliptic curves with large rational torsion subgroups
We outline PARI programs which assist with various algorithms related to descent via isogeny on elliptic curves. We describe, in this context, variations of standard inequalities w...
E. Victor Flynn, C. Grattoni
GMP
2006
IEEE
16 years 21 days ago
Simultaneous Precise Solutions to the Visibility Problem of Sculptured Models
Abstract. We present an efficient and robust algorithm for computing continuous visibility for two- or three-dimensional shapes whose boundaries are NURBS curves or surfaces by li...
Joon-Kyung Seong, Gershon Elber, Elaine Cohen
ICIP
2004
IEEE
16 years 8 months ago
Interactive segmentation using curve evolution and relevance feedback
We propose in this paper an interactive segmentation algorithm based on curve evolution techniques. The task of automated segmentation has proven to be highly complex and applicat...
Motaz A. El Saban, B. S. Manjunath