A New Method for Generation of Fractal Images
分形图形生成的一种新方法

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.