A fully adaptive multiresolution scheme for image processing

Authors:
Sergio Amat;Rosa Donat;Jacques Liandrat;J. Carlos Trillo
Affiliations:
Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Spain;Departament de Matemítica Aplicada, Universitat de València, Spain;Ecole Superieure de Mecanique de Marseille, Laboratoire d'Analyse Topologie et Probabilites, EGIM, Marseille, France;Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Spain
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2007

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Abstract

A nonlinear multiresolution scheme within Harten's framework [A. Harten, Discrete multiresolution analysis and generalized wavelets, J. Appl. Numer. Math. 12 (1993) 153-192; A. Harten, Multiresolution representation of data II, SIAM J. Numer. Anal. 33 (3) (1996) 1205-1256] is presented. It is based on a centered piecewise polynomial interpolation fully adapted to discontinuities. Compression properties of the multiresolution scheme are studied on various numerical experiments on images.