Block-Median Pyramidal Transform: Analysis and Denoising Applications (2001)
| Venue: | IEEE Trans. on Signal Processing |
| Citations: | 4 - 1 self |
BibTeX
@ARTICLE{Melnik01block-medianpyramidal,
author = {Vladimir P. Melnik and Ilya Shmulevich and Karen Egiazarian and Senior Member and Jaakko Astola},
title = {Block-Median Pyramidal Transform: Analysis and Denoising Applications},
journal = {IEEE Trans. on Signal Processing},
year = {2001},
volume = {49},
pages = {364--372}
}
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Abstract
A nonlinear multiscale pyramidal transform based on nonoverlapping block decompositions using the median operation and a polynomial approximation is considered. It is shown that this structure can be useful for denoising of one- and two-dimensional (1-D and 2-D) signals. Various denoising techniques are analyzed, including methods based on spatially adaptive thresholding and partial cycle-spinning algorithms. An analytical method for deriving the distribution function of the transform coefficients is also presented. This, in turn, can be used for the selection of thresholds for denoising applications.
