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Unité Mixte de Recherche du C.N.R.S. N°7534
Abstract : This paper introduces a construction of bandlet orthogonal bases to approximate images having sharp transitions along regular geometric curves. Bandlet coefficients are calculated by applying orthogonal Alpert transforms over orthogonal wavelet coefficients. These Alpert transforms are computed along a geometrical flow that is optimized for each image. It is proved that images that are $C^alpha$ with singularities along $C^alpha$ curves are approximated in a best bandlet basis with an optimal asymptotic error decay. A fast discrete orthogonal bandlet transform is described for images, with an application to compression.
Orthogonal Bandlet Bases forGeometric Images Approximation
MALLAT St├ęphane, PEYRE Gabriel
Université de PARIS - DAUPHINE
Place du Maréchal de Lattre De Tassigny - 75775 PARIS CEDEX 16 - FRANCE
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