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EUROCRYPT
2009
Springer
14 years 8 months ago
Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves
Abstract. Efficiently computable homomorphisms allow elliptic curve point multiplication to be accelerated using the Gallant-Lambert-Vanstone (GLV) method. Iijima, Matsuo, Chao and...
Steven D. Galbraith, Xibin Lin, Michael Scott
JZUSC
2010
129views more  JZUSC 2010»
13 years 5 months ago
Representing conics by low degree rational DP curves
: A DP curve is a new kind of parametric curve defined by Delgado and Peña (2003); it has very good properties when used in both geometry and algebra, i.e., it is shape preserving...
Qian-qian Hu, Guo-jin Wang
SIAMIS
2011
13 years 2 months ago
A New Geometric Metric in the Space of Curves, and Applications to Tracking Deforming Objects by Prediction and Filtering
We define a novel metric on the space of closed planar curves which decomposes into three intuitive components. According to this metric centroid translations, scale changes and ...
Ganesh Sundaramoorthi, Andrea Mennucci, Stefano So...
PR
1998
90views more  PR 1998»
13 years 7 months ago
Supportedness and tameness differentialless geometry of plane curves
—We introduce a class of planar arcs and curves, called tame arcs, which is general enough to describe (parts of) the boundaries of planar real objects. A tame arc can have smoot...
Longin Jan Latecki, Azriel Rosenfeld
EMMCVPR
2011
Springer
12 years 7 months ago
Curvature Regularization for Curves and Surfaces in a Global Optimization Framework
Length and area regularization are commonplace for inverse problems today. It has however turned out to be much more difficult to incorporate a curvature prior. In this paper we pr...
Petter Strandmark, Fredrik Kahl