On the Application of Invariant Image Parameters to Fractal Encoding of Bi-Level Images

Abstract. Fractal image compression is an engaging and worthwhile technology that may be successfully applied to still image coding, especially at high compression ratios. Unfortunately, the large amount of computation needed for the image compression (encoding) stage is a major obstacle that needs to be overcome. In spite of numerous and many-sided attempts to accelerate fractal image compression times, the “speed problem” is far from being carried to its conclusion. In the paper, a new version (strategy) of the fractal image encoding technique, adapted to process bi-level (black and white) images, is presented. The strategy employs the necessary image similarity condition based on the use of invariant image parameters (image smoothness indices, image coloration ratios, etc.). It is shown that no images can be similar (in the mean squared error sense) if their respective parameter values differ more than somewhat. In the strategy proposed, the necessary image similarity condition ...

• Type: Journal
• Year: 2007
• Where: INFORMATICALT
• Authors: Jonas Valantinas, Tomas Zumbakis
• Keywords: Fractal Image, Image, Image Compression, INFORMATICALT 2007