Abstract

The new method for combining semisoft thresholding rules during wavelet-based data compression of images with multiplicative noise is suggested. The method chooses the best thresholding rule and the threshold value using the proposed criteria which provide the best nonlinear approximations and take into consideration errors of quantization. The results of computer modeling have shown that the suggested method provides relatively good image quality after restoration in the sense of some criteria such as PSNR, SSIM, etc.

Highlights

  • Images which are registered from different sources and which have to be transferred or archived can be distorted by specific noises having a multiplicative character

  • We can discuss about synthetic aperture radar (SAR) images with multiplicative noise known as speckle, infrared devices with fixed pattern noise (FPN) like unstable photo element’s voltage sensitivity, etc

  • We formed the library of test images containing 25 reference images which have been taken from the library described in [20]

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Summary

Introduction

Images which are registered from different sources and which have to be transferred or archived can be distorted by specific noises having a multiplicative character. Video sources and data links add their own noises during image formation and transferring. We can discuss about synthetic aperture radar (SAR) images with multiplicative noise known as speckle, infrared devices with fixed pattern noise (FPN) like unstable photo element’s voltage sensitivity, etc. There are a lot of methods and algorithms invented in last decades trying to effectively filter and/or compress noisy images. The tasks of filtering and compression are decided separately. Filtering and compression algorithms are not harmonized, that leads to new distortions and artifacts onto the images restored after compression. Being theoretically focused on an additive Gaussian noise model, any filtering algorithm inevitably leads to unsatisfactory results

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