A new method for generation of fractal Images is presented in this paper. To synthesize fractal Images, fractional Brownian motions are used which are obtained by a new means-recursive space filtering. The power spectrum of fractional Brownian motion can be used to determine the frequency-response of the two-dimensional shaping filter of fractional Brownian motion, then the shaping filter whose frequency response is circularly symmetric and exponentially decaying can be designed using a method based on one-...