AFFINE TRANSFORMATION IN RANDOM ITERATED FUNCTION SYSTEMS  

作　　者：XIONG Yong(熊勇) SHI Ding-hua(史定华) 

机构地区：[1]Department of Mathematics, Shanghai University, Shanghai 200436, P R China Department of Mathematics, Shanghai University, Shanghai 200436, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2001年第7期820-826,共7页应用数学和力学（英文版）

摘　　要：Random iterated function systems (IFSs) is discussed, which is one of the methods for fractal drawing. A certain figure can be reconstructed by a random IFS. One approach is presented to determine a new random IFS, that the figure reconstructed by the new random IFS is the image of the origin figure reconstructed by old IFS under a given affine transformation. Two particular examples are used to show this approach.Random iterated function systems (IFSs) is discussed, which is one of the methods for fractal drawing. A certain figure can be reconstructed by a random IFS. One approach is presented to determine a new random IFS, that the figure reconstructed by the new random IFS is the image of the origin figure reconstructed by old IFS under a given affine transformation. Two particular examples are used to show this approach.

关 键 词：FRACTAL random iterated function system affine transformation 

分 类 号：O18[理学—数学]