Nonlinear and Nonseparable Bidimensional Multiscale Representation Based on Cell-Average Representation
Résumé
The aim of this paper is to build a new nonlinear and nonseparable multiscale representations of piecewise continuous bidimensional functions. This representation is based on the definition of a linear projection and a nonlinear prediction operator which locally adapts to the function to be represented. This adaptivity of the prediction operator proves to be very interesting for image encoding in that it enables to considerably reduce the number of significant coefficients compared with other representations. Applications of these new nonlinear multiscale representation to image compression and super-resolution conclude the paper.
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