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Biorthogonal wavelets applied to meterological satellite images (METEOSAT) image compressing

In this paper we develop fast numerical algorithms for representations of periodic functions in biorthogonal multiresolution analyses in two dimensions. We show that in the Fourier domain the decomposition and reconstruction algorithms have a matrix representation in terms of permutations and block diagonal matrices. We present some illustrative examples using biorthogonal spline wavelets applied to meteorological satellite images (METEOSAT) compression.