FOURIER ANALYSIS OF WAVELET-TRANSFORMATION FOR DIGITAL IMAGES

Abstract

The results of the estimation of the distortions of an ultrahigh-definition color image in video applications with compression based on the use of wavelet transformations in biorthogonal wavelet bases and the simulation of the wavelet transform decomposition by classical Fourier analysis methods are presented. Compression ratios for specified signal-to-noise ratios are given. The root-mean-square deviations of the reconstructed images from the original are obtained and it is shown that for wavelet transform these deviations are an order of magnitude smaller than for the Fourier transform.