[李桂娥; 朱昱佳; 李畅] Key Laboratory for Geographical Process Analysis and Simulation, College of City and Environmental Science, Central China Normal University, Wuhan, Hubei Province, 430079, China
(编号,41101407,61301278):国家自然科学基金
(编号,2014CFB377,2010CDZ005):湖北省自然科学基金
(编号,CCNU15A02001):华中师范大学中央高校基本科研项目
(编号,2016070204010137):武汉市晨光计划
(编号,CCNU16JCZX09):华中师范大学中央高校基本科研业务费项目
(No,41101407,61301278):National Natural Science Foundation of China
机构署名：
本校为第一机构
院系归属：
城市与环境科学学院
摘要：
长度-半径维数模型作为描述城市交通网络复杂不确定性现象的一种分形分维方法,其自身存在的不确定性往往被忽视,且相关研究更是鲜见报道。故针对该模型在分形维数测算全过程中存在的不确定性问题,本文率先开展了系统剖析、定量估计和质量控制研究。首先对数据源、矢量化处理、测算中心、尺度选择、以及分维数模型估计等一系列环节进行了不确定性估计与分析,其中首次给出了分形维数在一定置信水平下的不确定性度量区间,并依据误差传播理论对误差的传递和累积进行了描述;然后着重提出了基于LMedS(Least Median of Squares)的质量控制方法。最后通过对拉萨市的算例实验表明:道路的矢量化过程、测算...
摘要(英文)：
Finding the ideal fractal of the objective world based on pure mathematics is difficult, but the statistical significance of random fractal is an objective existence such that fractal and fractal dimension has some uncertainty. The length-radius dimension model is a fractal dimension method used to describe the complex and uncertain phenomenon of urban traffic network. However, the uncertainty of the model is frequently neglected, and related research are rarely reported. Therefore, theories and methods of uncertainty for fractal dimension should be developed and improved urgently. Aiming at t...
