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-dimensional prototype filter and rotation transforms. The fractional Brownian motion based fractal Image with desired fractional dimension can be generated by applying its shaping filter to a Gaussian distributed white process.