Koch曲线与分维测量  

Koch Curve and Fractal Dimension Determination

作　　者：李启楷[1] 张跃[1] 李继忠[1] 刘兵海[2] 李玉清 赵咏秋 

机构地区：[1]北京科技大学材料科学与工程学院,北京100083 [2]华东理工大学,上海200237 [3]大冶特殊钢股份有限公司,黄石435001

出　　处：《北京科技大学学报》2000年第4期354-357,共4页Journal of University of Science and Technology Beijing

基　　金：国家自然科学基金!(59771050;59872004);教育部跨世纪人才基金

摘　　要：通过构造Koch曲线岛对剖面小岛法测得的分维的准确性和可靠性进行了研究，并研究了Koch曲线岛的初始边长、形状和嵌套层次等构造因素对分维测量的影响．结果表明，剖面小岛法不适合于作为纳米度域的分维测量方法．A study has been done on the accuracy and reliability offractal dimensions determined through slit island methods by employing Koch curves. The effects of various constructing factors such as initial size length, shape and looping level on the fractal dimension determnation have dimension detemlination have been investigated. Asa result it is proposed that the slit island methods should not be used in the fractal dimension determination at nanometer scale.

关 键 词：分形 KOCH曲线 分维测量 断裂 断口 金属材料 

分 类 号：TG111.91[金属学及工艺—物理冶金]