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
孙佳龙;孙英杰;张淑怡;葛志成;王元鸿;
摘要(Abstract):
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。
关键词(KeyWords): 高程异常;多面函数;地形标准差;聚类分析
基金项目(Foundation): 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
作者(Authors): 孙佳龙;孙英杰;张淑怡;葛志成;王元鸿;
DOI: 10.16251/j.cnki.1009-2307.2019.09.021
参考文献(References):
- [1] 田家磊,吴晓平,李姗姗.应用格林积分直接以地面边值确定外部扰动重力场[J].测绘学报,2015,44(11):1189-1195.(TIAN Jialei,WU Xiaoping,LI Shanshan.Adirect approach to determine the external disturbing gravity field by applying green integral with the ground boundary value[J].Acta Geodaeticaet Cartographica Sinica,2015,44(11):1189-1195.)
- [2] 赫林,李建成,褚永海.1985国家高程基准与全球高程基准之间的垂直偏差[J].测绘学报,2016,45(7):768-774.(HE Lin,LI Jiancheng,CHU Yonghai.Thevertical shift between 1985national height datum and global vertical datum[J].Acta Geodaetica et Cartographica Sinica,2016,45(7):768-774.)
- [3] 刘国仕,邓才林,唐健林.邵阳市区域尺度GPS高程异常分析[J].测绘科学,2017,42(8):69-72.(LIU Guoshi,DENG Cailin,TANG Jianlin.Analysis of GPS height abnormality at regional scale in Shaoyangcity[J].Science of Surveying and Mapping,2017,42(8):69-72.)
- [4] 李建成,褚永海,徐新禹.区域与全球高程基准差异的确定[J].测绘学报,2017,46(10):1262-1273.(LI Jiancheng,CHU Yonghai,XU Xinyu.Determinationof vertical datum offset between the regional and the global height datum[J].Acta Geodaetica et Cartographica Sinica,2017,46(10):1262-1273.)
- [5] 史俊莉,李生平.考虑地形改正的GPS高程拟合研究[J].测绘通报,2015(7):66-67.(SHI Junli,LI Shengping. GPS height fitting research considering topographic correction[J].Bulletin of Surveying and Mapping,2015(7):66-67.)
- [6] 唐健林,徐陶,龙盈.小波函数应用于GPS高程拟合的分析[J].测绘通报,2016(3):58-60.(TANG Jianlin,XU Tao,LONG Ying.Analysis of wavelet function used in the fitting of GPS elevation[J].Bulletin of Surveying and Mapping,2016(3):58-60.)
- [7] 杨尚波,卢小平,李珵,等.基于混沌粒子群优化神经网络的GPS高程拟合研究[J].测绘通报,2013(9):5-8.(YANG Shangbo,LU Xiaoping,LI Cheng,et al.GPS elevation fitting by neural network based on chaotic PSO algorithm[J].Bulletin of Surveying and Mapping,2013(9):5-8.)
- [8] 郭辉.组合模型的GPS高程转换及精度分析[J].测绘科学,2018,43(2):34-38.(GUO Hui.Transformation of GPS height and accuracy analysis based on combination model[J].Science of Surveying and Mapping,2018,43(2):34-38.)
- [9] 张怀亮,李晓莉,朱赛虎.改进多面函数拟合跨带区域高程异常的研究[J].测绘科学,2016,41(3):132-137.(ZHANG Huailiang,LI Xiaoli,ZHU Saihu.Application of improved polyhedral function in fitting height anomaly in cross-band region[J].Science of Surveying and Mapping,2016,41(3):132-137.)
- [10]蒲伦,唐诗华,张紫萍,等.一种基于蚁群算法的山区GPS高程异常拟合方法[J].测绘通报,2018(8):26-31.(PU Lun,TANG Shihua,ZHANG Ziping,et al.A GPS height anomaly fitting method in mountainous area based on ant colony algorithm[J].Bulletin of Surveying and Mapping,2018(8):26-31.)
- [11]周长志,孙佳龙,郭淑艳.基于移动-多面函数的高程异常拟合方法[J].测绘通报,2016(12):25-27,38.(ZHOU Changzhi,SUN Jialong,GUO Shuyan.Heightanomaly fitting method based on mobile-polyhedral function[J].Bulletin of Surveying and Mapping,2016(12):25-27,38.)
- [12]陈智伟,张兴福,胡波,等.利用RBF实现线状工程中GNSS高程转换的精度分析[J].测绘通报,2018(12):79-82,86.(CHEN Zhiwei,ZHANG Xingfu,HU Bo,et al.Using RBF to analyze the accuracy of GNSS height transformation in linear engineering[J].Bulletin of Surveying and Mapping,2018(12):79-82,86.)
- [13]RICHHARIYA V,SHARMA N.Optimized intrusion detection by CACC discretization via Nave Bayes and clustering[J].International Journal of Computer Science &Network Security,2014,14(1):54-58.
- [14]黄发明,殷坤龙,蒋水华,等.基于聚类分析和支持向量机的滑坡易发性评价[J].岩石力学与工程学报,2018,37(1):156-167.(HUANG Faming,YIN Kunlong,JIANG Shuihua,et al.Landslide susceptibility assessment based on clustering analysis and support vector machine[J].Journal of Rock Mechanics and Geotechnical Engineering,2018,37(1):156-167.)
- [15]SCHAEER S E.Graph clustering[J].Computer Science Review,2007,1(1):27-64.
- [16]ZHOU S,XU Z,TANG X.New method for determining optimal number of clusters in K-means clustering algorithm[J].Computer Engineering and Applications,2010,46(16):27-31
- [17]饶喆,张静远,冯炜.基于局部方差粗糙度的水下地形DEM适宜分辨率分析[J].武汉理工大学学报(交通科学与工程版),2015(5):974-977.(RAO Zhe,ZHANG Jingyuan,FENG Wei.Analysis ofunderwater terrain appropriate DEM resolution based on local variance roughness[J].Journal of Wuhan University of Technology(Transportation Science &Engineering),2015(5):974-977.)
- [18]王立辉,乔楠,余乐.水下地形导航匹配区选取的模糊推理方法[J].西安电子科技大学学报,2017,44(1):140-145.(WANG Lihui,QIAO Nan,YU Le.Fuzzy deduction methods of selecting the underwater terrain navigation matching area[J].Journal of Xidian University,2017,44(1):140-145.)