In this paper, we present a new formalism for nonlinear and non-separable multi-scale representations. We first show that most of the one-dimensional nonlinear multi-scale representations described in the literature are based on prediction operators which are the sum of a linear prediction operator and a perturbation defined using finite differences. We then extend this point of view to the multi-dimensional case where the scaling factor is replaced by a non-diagonal dilation matrix $M$. The new formalism we propose brings about similarities between existing nonlinear multi-scale representations and also enables us to alleviate the classical hypotheses made to prove the convergence of the multi-scale representations
Separated representations at the heart of Proper Generalized Decomposition are constructed increment...
We cover two topics in the broad area of nonlinear multiscale methods. In the first topic, we develo...
Yves MEYER, Albert COHEN,Richard BARANIUK,Stéphane MALLAT,Francesc ARANDIGA,Patrick COMBETTES,Martin...
In this paper, we present a new formalism for nonlinear and non-separable multi-scale representation...
International audienceThe aim of the paper is the construction and the analysis of nonlinear and non...
In this paper, we introduce the notion of nonlinear and non-separable multi-scale representation. We...
International audienceIn this Note, we present a new formalism for nonlinear and non-separable multi...
International audienceIn this paper, we introduce a particular class of nonlinear and non-separable ...
International audienceThe aim of this paper is to build a new nonlinear and nonseparable multiscale ...
AbstractThe aim of the paper is the construction and the analysis of nonlinear and non-separable mul...
AbstractMultiresolution representations of data are powerful tools in data compression. For a proper...
International audienceA new nonlinear representation of multiresolution decompositions and new thres...
International audienceWe study in this paper nonlinear subdivision schemes in a multivariate setting...
In this paper, we introduce a framework that merges classical ideas borrowed from scale-space and mu...
AbstractThis paper is devoted to the analysis of a general family of nonlinear cell-average multires...
Separated representations at the heart of Proper Generalized Decomposition are constructed increment...
We cover two topics in the broad area of nonlinear multiscale methods. In the first topic, we develo...
Yves MEYER, Albert COHEN,Richard BARANIUK,Stéphane MALLAT,Francesc ARANDIGA,Patrick COMBETTES,Martin...
In this paper, we present a new formalism for nonlinear and non-separable multi-scale representation...
International audienceThe aim of the paper is the construction and the analysis of nonlinear and non...
In this paper, we introduce the notion of nonlinear and non-separable multi-scale representation. We...
International audienceIn this Note, we present a new formalism for nonlinear and non-separable multi...
International audienceIn this paper, we introduce a particular class of nonlinear and non-separable ...
International audienceThe aim of this paper is to build a new nonlinear and nonseparable multiscale ...
AbstractThe aim of the paper is the construction and the analysis of nonlinear and non-separable mul...
AbstractMultiresolution representations of data are powerful tools in data compression. For a proper...
International audienceA new nonlinear representation of multiresolution decompositions and new thres...
International audienceWe study in this paper nonlinear subdivision schemes in a multivariate setting...
In this paper, we introduce a framework that merges classical ideas borrowed from scale-space and mu...
AbstractThis paper is devoted to the analysis of a general family of nonlinear cell-average multires...
Separated representations at the heart of Proper Generalized Decomposition are constructed increment...
We cover two topics in the broad area of nonlinear multiscale methods. In the first topic, we develo...
Yves MEYER, Albert COHEN,Richard BARANIUK,Stéphane MALLAT,Francesc ARANDIGA,Patrick COMBETTES,Martin...