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» On interpolation by radial polynomials
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IMAGING
2003
13 years 9 months ago
Interactive Goniochromatic Color Design
An interactive program has been developed to assist in the design of new goniochromatic colors. The program gives the user a unique set of controls over a second order polynomial ...
Clement Shimizu, Gary W. Meyer, Joseph P. Wingard
AES
2004
Springer
139views Cryptology» more  AES 2004»
14 years 28 days ago
The Inverse S-Box, Non-linear Polynomial Relations and Cryptanalysis of Block Ciphers
This paper is motivated by the design of AES. We consider a broader question of cryptanalysis of block ciphers having very good non-linearity and diffusion. Can we expect anyway, ...
Nicolas Courtois
CAGD
2005
112views more  CAGD 2005»
13 years 7 months ago
Estimating differential quantities using polynomial fitting of osculating jets
This paper addresses the point-wise estimation of differential properties of a smooth manifold S--a curve in the plane or a surface in 3D--assuming a point cloud sampled over S is...
Frédéric Cazals, Marc Pouget
ISSAC
2007
Springer
130views Mathematics» more  ISSAC 2007»
14 years 1 months ago
On probabilistic analysis of randomization in hybrid symbolic-numeric algorithms
Algebraic randomization techniques can be applied to hybrid symbolic-numeric algorithms. Here we consider the problem of interpolating a sparse rational function from noisy values...
Erich Kaltofen, Zhengfeng Yang, Lihong Zhi
EOR
2008
69views more  EOR 2008»
13 years 7 months ago
On the complexity of optimization over the standard simplex
We review complexity results for minimizing polynomials over the standard simplex and unit hypercube. In addition, we derive new results on the computational complexity of approxi...
E. de Klerk, Dick den Hertog, G. Elabwabi