This paper first presents a condensed state of art on multiresolution analysis using polyharmonic splines: definition and main properties of polyharmonic splines, construction of B-splines and wavelets, decomposition and reconstruction filters; properties of the so-obtained operators, convergence result and applications are given. Second this paper presents some new results on this topic: scattered data wavelet, new polyharmonic scaling functions and associated filters. Fourier transform is of extensive use to derive the tools of the various multiresolution analysis. © 2008 Springer Science+Business Media, LLC.

Rabut, C., & Rossini, M. (2008). Polyharmonic multiresolution analysis: an overview and some new results. NUMERICAL ALGORITHMS, 48(1-3), 135-160 [10.1007/s11075-008-9173-z].

Polyharmonic multiresolution analysis: An overview and some new results

ROSSINI, MILVIA FRANCESCA
2008

Abstract

This paper first presents a condensed state of art on multiresolution analysis using polyharmonic splines: definition and main properties of polyharmonic splines, construction of B-splines and wavelets, decomposition and reconstruction filters; properties of the so-obtained operators, convergence result and applications are given. Second this paper presents some new results on this topic: scattered data wavelet, new polyharmonic scaling functions and associated filters. Fourier transform is of extensive use to derive the tools of the various multiresolution analysis. © 2008 Springer Science+Business Media, LLC.
Articolo in rivista - Articolo scientifico
Polyharmonic splines, Wavelets, MRA filters
English
Rabut, C., & Rossini, M. (2008). Polyharmonic multiresolution analysis: an overview and some new results. NUMERICAL ALGORITHMS, 48(1-3), 135-160 [10.1007/s11075-008-9173-z].
Rabut, C; Rossini, M
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/8130
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