Cell-average nonlinear multiresolution on the quincunx pyramid

Sergio Amat, Sonia Busquier, J. Carlos Trillo · 2005

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 representa-tions, 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. Key Words: Nonlinear multiresolution, quincunx pyramid, error-control, image processing. 1

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