Cell-average nonlinear multiresolution on the quincunx pyramid

Authors:
Sergio Amat;Sonia Busquier;J. Carlos Trillo
Affiliations:
Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Cartagena, Spain;Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Cartagena, Spain;Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Cartagena, Spain
Venue:
SSIP'05 Proceedings of the 5th WSEAS international conference on Signal, speech and image processing
Year:
2005

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Abstract

This paper links the non separable quincunx pyramid and the nonlinear discrete cell-average Harten's multiresolution framework. In order to obtain the stability of these representations, some modified multiresolution processing algorithms are introduced. A prescribed accuracy in various discrete norms is ensured by these modified strategies. Explicit error bounds are presented.