四川师范大学学报（自然科学版）2013，Vol.36Issue(1)：147-151,5.DOI:10.3969/j.issn.1001-8395.2013.01.030
河流长度整体分维与局部分维关系研究——以长江重庆主城段为例
Study on the Relationship between Overall Fractal Dimension and Partial Fractal Dimension of River Length for Example of the Section of Chongqing City of Yangtze River
摘要
Abstract
On the basis of the characteristics of river fractal geometry of the Yangtze River in Chongqing city section, the overall fractal dimensions of river length are calculated. Then the river is divided into six reaches, the partial fractal dimensions of each reach are established by the fractal model, and the relationship between the overall fractal dimensions and partial dimensions is discussed. And the results show as follows. 1) The overall fractal dimensions and partial dimensions have a very good second-order fractal dimension phenomenon. 2) The mathematical relationship between the overall fractal dimensions and partial dimensions and between the left and right banks of partial dimensions of the Yangtze River in Chongqing city section satisfy the unite principle of fractal landscapes. 3 ) The arithmetic mean values of partial fractal dimensions are not equal to the values of overall fractal dimension.关键词
整体分维/局部分维/长江重庆段Key words
overall fractal dimension/ partial fractal dimension/ Chongqing city of Yangtze River分类
天文与地球科学引用本文复制引用
吴立春,倪志辉..河流长度整体分维与局部分维关系研究——以长江重庆主城段为例[J].四川师范大学学报（自然科学版）,2013,36(1):147-151,5.基金项目
重庆市教委科技基金(KJ111501、KJ110409)、省部共建水利水运工程教育部重点实验室及国家内河航道整治工程技术研究中心开放基金(SLK2012A02)资助项目 （KJ111501、KJ110409）
