The well known L 3-reduction algorithm of Lovv asz transforms a given integer lattice basis b1; b2

In this paper we present a new method for foreground masks denoising in videos. Our main idea is to consider videos as 3D images and to deal with regions in these images. Denoising is thus simply achieved by merging foreground regions corresponding to noise with background regions. In this framework, the main question is the definition of a criterion allowing to decide if a region corresponds t...

The Polynomial Modular Number System (PMNS) is an alternative to the binary multi-precision representation that allows transport arithmetic of a finite field polynomial ring. most important operation in system internal reduction follows any operation. All recent works on subject use same algorithm derived from Montgomery's modular multiplications perform this reduction. This paper designs and a...

A mathematical framework for data representation and for noise reduction is presented in this paper. The basis of the approach lies in the use of wavelets derived from the general theory of frames to construct a subspace capable of representing the original signal excluding the noise. The representation subspace is shown to be efficient in signal modeling and noise reduction, but it may be acco...