The Theory of Cross Point Regions with Ideal Cross Point Regions for Medical Image Compression

This paper presents the scheme LIC-ICR (Lossless Image Compression with Ideal Cross point Regions in the theory of cross point regions) for lossless encoding and decoding images, especially medical images with the optimization of probability of cross points which are neighbor to the points of grey levels 2n. The base of this statement is the effect of Gray coding on cross points. Before Gray coding an adjacent data set of cross points is determined, it is called the ideal cross point region. After Gray coding this region always contains bits 1 on the bit plane n-1 (or bits 0 on the bit plane n-2) after bit plane decomposition. This is like the characteristic of images being that the data do not change much in a specific area, espescially in medical images which have many regions with the same grey levels. The only bit state in ideal cross point regions is very good at entropy coding because probabilities of data bits is 1 there. This optimization of probability has important effects on encoding and decoding processes of lossless medical image compression.