SMA
2008
ACM
13 years 4 months ago
2008
ACM
An algorithm and implementation is presented to compute the exact arrangement induced by arbitrary algebraic surfaces on a parametrized ring Dupin cyclide. The family of Dupin cyc...
SODA
2008
ACM
13 years 6 months ago
2008
ACM
We show how to compute the planar arrangement induced by segments of arbitrary algebraic curves with the Bentley-Ottmann sweep-line algorithm. The necessary geometric primitives r...
EUROCRYPT
2007
Springer
13 years 10 months ago
2007
Springer
Abstract. In this paper we show that the Ate pairing, originally defined for elliptic curves, generalises to hyperelliptic curves and in fact to arbitrary algebraic curves. It has...