Block-median pyramidal transform: analysis and denoising applications

نویسندگان

  • Vladimir P. Melnik
  • Ilya Shmulevich
  • Karen O. Egiazarian
  • Jaakko Astola
چکیده

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.

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عنوان ژورنال:
  • IEEE Trans. Signal Processing

دوره 49  شماره 

صفحات  -

تاریخ انتشار 2001