中文摘要：

分形具有无穷细节的自相似性.研究提出了基于分形规则的陶瓷图案构图模型,并重点研究了迭代函数系统IFS、随机插值分形在图案拓扑结构表达中的应用,提出并深入讨论了基于分形迭代、区域迭代分割的陶瓷图案拓扑结构的初始表达及结构的迭代模式f,对构图模型及图案构图算法的实现等进行了深入研究,并最终应用本文的研究成果于陶瓷图案的构图过程.

英文摘要：

A fractal is a self-similar pattern with infinite detail.This paper proposes a ceramic pattern composition model based on the fractal rule.It mainly discusses the application of iterated function system and randomized interpolation fractal to the representation of a pattern＇s topology.An initial visualization of a ceramic pattern topology is realized via fractal iteration and iterative domain decomposition and the iterative mode fis obtained.The construction of the model with its pattem composition algorithms is described in detail,and is finally applied to the practical generation of ceramic patterns.