… decomposition defines an orthogonal multiresolution representation called a wavelet
representation. … Wavelet representation lies between the spatial and Fourier domains. For images, …

… We demonstrate the commonality among these signal … by establishing the multiresolution
decomposition features common … treatment of multiresolution signal decomposition techniques …

… the wavelet representation to image processing. We develop an optimai quantization of the
wavelet representation, … In two dimensions, the orthogonal wavelets locally discriminate the …

… wavelet-type multiresolution signal decomposition that encompasses all known linear and
nonlinear wavelet decomposition … Second, we introduce a family of nonlinear wavelets based …

… -Q property of wavelet representations endows them with … signals, compared with time-frequency
representations like the spectrogram. Representing a collection of neurometric signals …

… , in particular images, is by using separable wavelets. In this case we can construct a 2D
wavelet representation using the same pyramid-based filter bank scheme used for 1D signals. …

… can construct a nonhomogeneous 3D multiresolution wavelet analysis that allows the filter …
the orthogonality of the resulting wavelet representation. Proofs of the Propositions put forth in …

… wavelet expansions. In 9 we show how a "fast wavelet transform" can be derived from the
multiresolution … At this point, ie, after the study of the basic properties of multiresolution analysis…

… and introduce the wavelet transform. We review the classical multiresolution pyramidal …
show how they relate to the decomposition of an image into a wavelet orthonormal basis. In the …

… MULTIRESOLUTION SIGNAL DECOMPOSITION To obtain a mathematical representation
for a multiresolution signal decomposition scheme, we need a sequence of signal domains, …