Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (7): 820-826.

• 论文 • 上一篇    下一篇

AFFINE TRANSFORMATION IN RANDOM ITERATED FUNCTION SYSTEMS

熊勇, 史定华   

  1. Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China
  • 收稿日期:2000-05-16 修回日期:2001-03-20 出版日期:2001-07-18 发布日期:2001-07-18

AFFINE TRANSFORMATION IN RANDOM ITERATED FUNCTION SYSTEMS

XIONG Yong, SHI Ding-hua   

  1. Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China
  • Received:2000-05-16 Revised:2001-03-20 Online:2001-07-18 Published:2001-07-18

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.

Abstract: 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.

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