几类分形曲面的构造及其性质  

Constructions and Properties of Several Kinds of Fractal Surfaces

作　　者：栗兴琴 

机构地区：[1]南京财经大学应用数学学院,江苏南京210023

出　　处：《泰山学院学报》2016年第6期52-57,共6页Journal of Taishan University

摘　　要：分形曲面是R^3中的一个分形集.通常,它的构造与分形函数密切相关.本文主要研究几类分形曲面的构造方法及其性质,并给出一些数值例子,说明分形曲面与原始曲面间的关系.A fractal surface is a fractal set in R^3. Generally,the constructions of fractal surfaces are closely related to the fractal functions. The methods of constructions and properties of several kinds of fractal surfaces are investigated in the present paper. Furthermore,several numerical examples are given,which illustrate the relationships between the fractal surfaces and their original functions.

关 键 词：迭代函数系 分形插值函数 分形曲面 性质 

分 类 号：O174.4[理学—数学]