6 November 1998 Compression of images using differences methods and extreme analysis
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This work presents algorithmic methods of errors reduction and 2D signals compression in a combined PCM-DM formats. Also methods of defining Delta Modulation (DM) sampling rate and maximum and minimum DM step size in real time, basing on maximum derivative a priori estimate, are presented. This estimate is proposed to be defined by a spectrum of the previous signal realization, which is known. Further data compression in real time is achieved with help of external analysis (EA). EA of pictures is based on the 2D differences in rows or in diagonals. This type of data compression is based only on the definition the extreme signal, and distance between these extremes. The algorithm of rigorous, unrigorous, and unclear extreme defining is universal, and independently for many method of digitizing of pixels is presented. Also methods of errors analysis and their decrease are described. After compression with EA, the image is reconstructed in real time.
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Wlodzimierz Pogribny, Zdzislav Drzycimski, Igor Zielinski, "Compression of images using differences methods and extreme analysis", Proc. SPIE 3456, Mathematics of Data/Image Coding, Compression, and Encryption, (6 November 1998); doi: 10.1117/12.330359; https://doi.org/10.1117/12.330359

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