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Paper: Multiresolution Analysis in Two or More Dimensions
Volume: 52, Astronomical Data Analysis Software and Systems II
Page: 413
Authors: Bromley, B. C.
Abstract: An algorithm is implemented to perform a multiresolution decomposition in n >= 2 dimensions based on wavelets generated from products of 1-D wavelets and smoothing functions. The functions are chosen so that an n-D wavelet may be associated with a single resolution scale and orientation. This algorithm enables complete reconstruction of a high resolution signal from decomposition coefficients. The signal is oversampled to accommodate non-orthogonal wavelet systems and to provide approximate translational invariance in the decomposition arrays.
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