一种地形分析因子相关性消除方法  

A Method to Eliminate the Correlation of Factors in Terrain Analysis

作　　者：高凯[1,2,3] 吉国杰[2,3] 张跃鹏[2,3] 曾军[2,3] 

机构地区：[1]信息工程大学,河南郑州450001 [2]西安测绘研究所,陕西西安710054 [3]地理信息工程国家重点实验室,陕西西安710054

出　　处：《测绘科学与工程》2017年第1期59-63,共5页Geomatics Science and Engineering

摘　　要：本文提出了一种消除地形分析因子相关性的方法。该方法由因子相关性得到因子相关矩阵，在此基础上对因子集合进行聚类分析并等价划分，再根据随机向量线性相关性原理对因子等价类加以优化求解，使因子等价类之间的相关性最小，进而得到等价类的指标综合函数，以此对系统进行综合评价，最后，通过地形要点的实际案例验证了该方法的可行性。In this paper, a method to eliminate the correlation of index factors in terrain analysis is proposed. Using this method, the factor correlation matrix is obtained through factor correlation. Based on the relevant matrix, factor sets are processed by cluster analysis and equivalence partitioning. The correlation among the equivalence classes is minimized using linear correla- tion of random vectors and optimization methods, and a synthetic function can be obtained to make a comprehensive evaluation of the system. Finally, the feasibility of this method is verified by an actual case of terrain points.

关 键 词：相关性 聚类分析 等价类 地形分析 

分 类 号：P208[天文地球—地图制图学与地理信息工程]