A LOSSY CODING SCHEME FOR IMAGES BY USING THE HAAR WAVELET TRANSFORM AND THE THEORY OF IDEAL CROSS-POINTS REGIONS

Abstract

This paper presents Lossy Coding Scheme for Images by Using The Haar Wavelet Transform and The Theory of Cross-points Regions with Ideal Cross-points Regions (HWTICR). The base of this statement is the effect of Gray coding on cross-points which are neighbor to the points of grey levels 2n. After Gray coding these regions always contain only 1-bits or 0-bits depending on the number of each bit plane after bit plane decomposition. The optimization of probability in each bit plane has important effects on encoding and decoding processes of lossless image compression for data transmission. The framework itself is founded upon a wavelet transformed domain, the scheme will show how The Haar Wavelet Transform combines with the theory of Ideal Cross-points Regions to become a lossy coding scheme for images. The goal of the method is to build a lossy coding scheme for images with high compression ratio and low distortion factor in comparison with some other methods. Finally, some initial results of the scheme are also presented and compared to the other methods. The algorithm can be used in medical and photographic imaging.