A family of stable nonlinear nonseparable multiresolution schemes in 2D

Authors:
S. Amat;K. Dadourian;J. Liandrat;J. Ruiz;J. C. Trillo
Affiliations:
Departamento de Matemática Aplicada y Estadística. Universidad Politécnica de Cartagena, Spain;Ecole Généraliste d'Ingénieurs de Marseille (EGIM). Laboratoire d'Analyse Topologie et Probabilites (LATP), France;Ecole Généraliste d'Ingénieurs de Marseille (EGIM). Laboratoire d'Analyse Topologie et Probabilites (LATP), France;Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas, Spain;Departamento de Matemática Aplicada y Estadística. Universidad Politécnica de Cartagena, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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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.