ASDC analysis: amplitude-space domain chart analysis - lossless image compression

The paper proposes a new statistical domain (named amplitude-space domain, ASD) for the analysis of images which possess lossless compression characteristics. Instead of letting the pixel intensities determine the image distribution, in this domain, the ´pixel positions where a particular pixel value resides´ determines the image distribution. Mathematically, the image is divided into a number of pixel-sets whose elements are the positions at which the particular pixel-intensity is present. The pixel intensity forms the ´tag´ of the set. Standard colour images, with bit-depth of 24 bits (RGB, each 8 bits), and monochrome images, with bit-depth of 8 bits, are used for testing. Of the various possible implementations, the row-column reference for representing positions is explained. Moreover, based on the picture detail, the actual Cartesian positions these values represent can be adaptive. Compression occurs because of the exhaustiveness of pixel positions, their lower dynamic range (in bits) than that of the pixel intensity, reusability of pixel positions and encoding of colour (pixel intensities). The compression algorithm is implemented in C++. Other extended applications of ASD are also discussed.