Block-median pyramidal transform: analysis and denoising applications

Author

Melnik, Vladimir P. ; Shmulevich, Ilya ; Egiazarian, Karen ; Astola, Jaakko

Author_Institution

Signal Process. Lab., Tampere Univ. of Technol., Finland

Volume

49

Issue

2

fYear

2001

fDate

2/1/2001 12:00:00 AM

Firstpage

364

Lastpage

372

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 oneand 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

Keywords

adaptive signal processing; image reconstruction; noise; polynomial approximation; statistical analysis; wavelet transforms; 1D signals; 2D signals; analytical method; block-median pyramidal transform; denoising applications; distribution function; image regions; median operation; nonlinear multiscale pyramidal transform; nonoverlapping block decompositions; partial cycle-spinning algorithm; polynomial approximation; spatially adaptive thresholding; threshold selection; transform coefficients; Filters; Image coding; Image processing; Interpolation; Noise reduction; Polynomials; Signal processing; Signal processing algorithms; Signal resolution; Spatial resolution;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.902119

Filename

902119