Image processing and data analysis The multiscale …

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Image processing and data analysisThe multiscale approachJean-Luc StarckCentre d Etudes de SaclayFionn MurtaghUniversity of UlsterAlbert BijaouiObservatoire de la C ote d AzurContentsPrefacevii1 The wavelet multiscale methods . . . . . . . . . . . . . . . . . . . . . . . . Some perspectives on the wavelet transform . . . . . . The wavelet transform and the Fourier transform . . . Applications of the wavelet transform . . . . . . . . . The continuous wavelet transform . . . . . . . . . . . . . . . Definition . . . . . . . . . . . . . . . . . . . . . . . . . Properties . . . . . . . . . . . . . . . . . . . . . . . . . The inverse transform . . . . . . . . . . . . . . . . . . Examples of wavelet functions . . . . . . . . . . . . . . . . . . Morlet s wavelet.

Image processing and data analysis The multiscale approach Jean-Luc Starck Centre d’Etudes de Saclay´ Fionn Murtagh University of Ulster Albert Bijaoui

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