Theory of 2-D non-separable optimal m-band wavelets and its applications

Li Cui, Hua Li, Yunshi Zhou · 2004

The theory of 1D generalized multiresolution analysis (GMRA) with quasi-real dilation is put forward. In this paper we will focus on the 2D extension of the optimal m-band wavelets and its applications in planar image processing. Given a class of image, we will present optimal m-band wavelets for them only by a part of samples. The efficiency and superiority of the algorithm can been seen from the processing result of datasets of the human body slices.

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