# A Theory for Multiresolution Signal Decomposition: The Wavelet Representation

@article{Mallat1989ATF, title={A Theory for Multiresolution Signal Decomposition: The Wavelet Representation}, author={St{\'e}phane Mallat}, journal={IEEE Trans. Pattern Anal. Mach. Intell.}, year={1989}, volume={11}, pages={674-693} }

Multiresolution representations are effective for analyzing the information content of images. [...] Key Method It is computed with a pyramidal algorithm based on convolutions with quadrature mirror filters. Wavelet representation lies between the spatial and Fourier domains. For images, the wavelet representation differentiates several spatial orientations. The application of this representation to data compression in image coding, texture discrimination and fractal analysis is discussed. > Expand

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