地形标准差聚类多面函数拟合高程异常方法  

Algorithm of polyhedral function fitting elevation anomaly based on terrain standard deviation and cluster analysis

作　　者：孙佳龙 孙英杰[3] 张淑怡 葛志成 王元鸿 SUN Jialong;SUN Yingjie;ZHANG Shuyi;GE Zhicheng;WANG Yuanhong(School of Geomatics and Marine Information,Huaihai Institute of Technology,Lianyungang,Jiangsu 222005,China;Jiangsu Marine Resource Development Research Insititute,Lianyungang,Jiangsu 222001,China;Jiangsu Coal Geological Prospecting and Surveying Team,Nanijing 210046,China)

机构地区：[1]淮海工学院测绘与海洋信息学院,江苏连云港222005 [2]江苏省海洋资源开发研究院,江苏连云港222001 [3]江苏煤炭地质物测队测绘院,南京210046

出　　处：《测绘科学》2019年第9期146-150,170,共6页Science of Surveying and Mapping

基　　金：国家自然科学基金项目(40974016);江苏省海洋科学技术优势学科建设项目;江苏省教育科学“十三五”规划专项课题(C-a/2016/01/24);江苏省海洋技术品牌专业建设项目

摘　　要：针对多面函数拟合高程异常时,难以确定中心点的问题,该文利用地形标准差确定高程异常点的分类个数,进行聚类分析,并以地形标准差与距离的比值作为指标,从高程异常点中选择了中心点,同时利用多面函数拟合了高程异常曲面,较好地解决了多面函数拟合中心点难以选择且拟合精度不高的问题。在两个地区应用结果显示,利用地形标准差聚类拟合的高程异常,比单独采用聚类分析和地形标准差的方法在外符合精度上分别平均提高了27%和48%。提出了利用地形标准差选择多面函数中心点的方法,有效地降低了多面函数选择中心点的随机性,提高了多面函数拟合的精度。In order to determine the center points of polyhedral function,a method is put forward to select better center points based on terrain standard deviation and cluster analysis.The classification number of elevation anomaly is determined according to terrain standard deviation.The ratio of terrain standard deviation and distance is taken as an index to select the center points of polyhedral function based on cluster analysis.On this basis,height anomaly surface is fitted with the selected center points.In order to compare the advantages and disadvantages of various methods,the outside precision is taken as an index to evaluate the accuracy of various methods.The results show that the average accuracy of surface fitting using terrain standard deviation and clustering is 27% higher than that using clustering analysis alone,is 48% higher than that using terrain standard deviation alone.

关 键 词：高程异常 多面函数 地形标准差 聚类分析 

分 类 号：P22[天文地球—大地测量学与测量工程]