Decomposition and reconstruction of multidimensional signals by radial functions with tension parameters |
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| Authors: | Mira Bozzini Christophe Rabut Milvia Rossini |
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| Affiliation: | 1.Dipartimento di Matematica e Applicazioni,Università di Milano–Bicocca,Milano,Italy;2.INSA Toulouse (Institut National des Sciences Appliquées),Toulouse Cedex 4,France |
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| Abstract: | The aim of the paper is to construct a multiresolution analysis of L2(IRd) based on generalized kernels which are fundamental solutions of differential operators of the form (boldsymbol {prod }_{ell =?1}^{m}(-{Delta }+kappa _{ell }^{2},I)). We study its properties and provide a set of pre-wavelets associated with it, as well as the filters which are indispensable to perform decomposition and reconstruction of a given signal, being very useful in applied problems thanks to the presence of the tension parameters κ?. |
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