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Image processing and data analysis The multiscale …

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 .. Mexican hat .. Haar wavelet .. The discrete wavelet transform .. Multiresolution analysis .. Mallat s horizontal and vertical analyses .. Non-dyadic resolution factor .. The `a trous algorithm .. Pyramidal algorithm.

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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