%0 Journal Article
%T A New Method for Generation of Fractal Images<br>分形图形生成的一种新方法
%A Luo zhong
%A Zhao Zhongming
%A Zhu Chongguang
%A <br>罗忠
%A 赵忠明
%A 朱重光
%J 遥感学报
%D 1998
%I 
%X 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.
%K Fractal Image
%K Fractional Brownian motion
%K Power spectrum
%K Shaping filter
%K frequency-response
%K Digital filter design<br>分形图形，分数维布朗运动，功率谱，成形滤波器，频率响应，数字滤波器设计
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=A41A70F4AB56AB1B&jid=F926358B31AC94511E4382C083F7683C&aid=5DC7779D6842485997C5B5B2916AC1B7&yid=8CAA3A429E3EA654&vid=0B39A22176CE99FB&iid=38B194292C032A66&sid=F1A8654ADB4E656E&eid=D46BA3D3D4B3C585&journal_id=1007-4619&journal_name=遥感学报&referenced_num=3&reference_num=12