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The characteristic of the subband coefficients of the discrete fractional wavelet transform (DFRWT) vary with the change of the order p should be utilized in this paper. The original image is decomposed by DFRWT in different p order near p=1, and the mode subband coefficients have changed slightly with the comparison of DWT(p=1). In order to make the result of image enhancement selective, the paper...
We have reduced the number of lifting steps in the calculation of the two-dimensional discrete wavelet transform by factoring the underlying lifting scheme into a new spatial form. Compared with recently proposed non-separable structure, we have reduced also the number of operations. Our scheme is primarily designed for CDF 5/3 and CDF 9/7 wavelets employed in JPEG 2000 image compression standard...
Discrete wavelet transform of finite-length signals must necessarily handle the signal boundaries. The state-of-the-art approaches treat such boundaries in a complicated and inflexible way, using special prolog or epilog phases. This holds true in particular for images decomposed into a number of scales, exemplary in JPEG 2000 coding system. In this paper, the state-of-the-art approaches are extended...
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