PRACTICAL SYNTHESIS OF ACCURATE FRACTAL IMAGES

This paper compares the synthesis of fractal images using both wavelet s and a modified form of the random midpoint displacement algorithm. T he accuracy of the generated fractal is investigated by an analysis of its second-order temporal statistics. It is shown that, although wave lets can be used to produce a good approximation to fractional Brownia n motion, a technique based on the random midpoint displacement algori thm is in practice much simpler to implement, faster to generate, and results in a comparable accuracy. Furthermore the proposed method is s hown to be considerably more efficient computationally. (C) 1995 Acade mic Press, Inc.