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An Approach to Fractal image compression based on iterations

The conception of digital image coding techniques is of great interest in various areas concerned with the storage or transmission of images. Fractal-based. Image coding or fractal image coding is a new method of image compression. In this method, similarities between different scales of the image are used for compression. Intuitively, fractals are sets that reveal details at every scale. These sets are in contrast to regular sets like lines, curves and planes that are typically studied in Euclidean geometry and become smooth when sufficiently magnified. In the early implementations of the theory, these similarities were found by human interaction and hence, the images were encoded by interactive computer programs. This resulted in codes for images that were extremely compact in size, but the decoded images had very low quality. In this paper, we propose an independent and novel approach to image coding, based on a fractal theory of iterated transformations.