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A family of stable nonlinear nonseparable multiresolution schemes in 2D
Authors:S. Amat
Affiliation:a Departamento de Matemática Aplicada y Estadística. Universidad Politécnica de Cartagena, Spain
b Ecole Généraliste d’Ingénieurs de Marseille (EGIM). Laboratoire d’Analyse Topologie et Probabilites (LATP), France
c Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas, Spain
Abstract:Multiresolution representations of data are powerful tools in data compression. For a proper adaptation to the edges, a good strategy is to consider a nonlinear approach. Thus, one needs to control the stability of these representations. In this paper, 2D multiresolution processing algorithms that ensure this stability are introduced. A prescribed accuracy is ensured by these strategies.
Keywords:41A05   41A15
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