Title :
Fractal approximation of image blocks
Author :
Monro, D.M. ; Dudbridge, F.
Author_Institution :
Sch. of Electron. & Electr. Eng., Bath Univ., UK
Abstract :
A method for block coding of images based on a least squares fractal approximation by a self-affine system (SAS) is presented. The computational cost of the approximation is linear in the number of pixels in the image. The approximation to a rectangularly tiled block involves evaluating various low-order moments over the block, and solving a system of four linear equations for each tile. The method is applied to a standard test image and the effects of various optimizations are shown. A quantitative comparison with the adaptive discrete cosine transform at 8:1 compression is made. The fidelity of the fractal method shows promise and its greater speed and simplicity compared to other fractal transforms suggest immediate applications such as interactive browsing of remote image archives or image representation in multimedia systems
Keywords :
block codes; fractals; image coding; least squares approximations; adaptive discrete cosine transform; block coding; fidelity; fractal approximation; image blocks; image coding; image representation; interactive browsing; least squares approximation; linear equations; multimedia systems; rectangularly tiled block; remote image archives; self-affine system; Block codes; Computational efficiency; Equations; Fractals; Least squares approximation; Linear approximation; Pixel; Synthetic aperture sonar; Testing; Tiles;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on
Conference_Location :
San Francisco, CA
Print_ISBN :
0-7803-0532-9
DOI :
10.1109/ICASSP.1992.226170
