三次Koch曲线岛的构造方式与维数  

The structure and fractal dimension of Koch curve island

作　　者：赵咏秋 李玉清[1] 冯永和[1] 

机构地区：[1]大冶特殊钢股份有限公司技术中心

出　　处：《中国体视学与图像分析》1997年第1期6-11,共6页Chinese Journal of Stereology and Image Analysis

摘　　要：研究了三次Ｋｏｃｈ曲线岛的尺寸效应、初始图形同维数和统计维数的关系；分析了对应不同相似映射的岛组及其含量对统计维数的影响；研究了一种随机Ｋｏｃｈ曲线岛组、２０６种修改的Ｋｏｃｈ曲线岛组及一种特殊的修改Ｋｏｃｈ曲线岛组的统计维数和维数及其相互关系。The relationship of the size effect and the primary patten with dimension and statistical dimension of Koch curve island were studied. The effects of various similar projection islands and their content on statistical dimension were analysed. A kind of random Koch curve island group and 206 kinds of modified Koch curve island groups as well as a special modified Koch curve island group (its dimension and statistical dimension are equal to random Koch curve island) were also studied in this paper.

关 键 词：三次Koch曲线岛 构造 维数 金属断口 

分 类 号：TG115.2[金属学及工艺—物理冶金]