桂林理工大学学报
桂林理工大學學報
계림리공대학학보
JOURNAL OF GUILIN UNIVERSITY OF TECHNOLOGY
2014年
4期
728-731
,共4页
张腾旭%刘立龙%周淼%赫林%黄良珂
張騰旭%劉立龍%週淼%赫林%黃良珂
장등욱%류립룡%주묘%혁림%황량가
最小二乘配置%三维图%高程拟合%拟合精度
最小二乘配置%三維圖%高程擬閤%擬閤精度
최소이승배치%삼유도%고정의합%의합정도
least square collocation%three dimension diagrams%elevation fitting%fitting accuracy
常规确定区域似大地水准面GPS水准法最常用的曲面拟合法通常只考虑测量误差,导致拟合结果不准确,并且简单地利用内、外符合精度去评定一个模型的拟合精度不是很可靠,只能在一定程度上说明模型拟合效果。针对此问题,利用同时顾及测量误差和模型误差的最小二乘配置法进行高程拟合,将其拟合得到的精度值作为参考,并提出利用高程异常残差三维图和内、外符合精度同时进行精度分析,然后与二次多项式和BP神经网络拟合结果进行对比分析。研究结果表明:对于大面积高程异常值变化较大的地区,最小二乘配置法能够取得较高的拟合精度;利用残差值三维图进行精度评定是一种有效可靠的方法。
常規確定區域似大地水準麵GPS水準法最常用的麯麵擬閤法通常隻攷慮測量誤差,導緻擬閤結果不準確,併且簡單地利用內、外符閤精度去評定一箇模型的擬閤精度不是很可靠,隻能在一定程度上說明模型擬閤效果。針對此問題,利用同時顧及測量誤差和模型誤差的最小二乘配置法進行高程擬閤,將其擬閤得到的精度值作為參攷,併提齣利用高程異常殘差三維圖和內、外符閤精度同時進行精度分析,然後與二次多項式和BP神經網絡擬閤結果進行對比分析。研究結果錶明:對于大麵積高程異常值變化較大的地區,最小二乘配置法能夠取得較高的擬閤精度;利用殘差值三維圖進行精度評定是一種有效可靠的方法。
상규학정구역사대지수준면GPS수준법최상용적곡면의합법통상지고필측량오차,도치의합결과불준학,병차간단지이용내、외부합정도거평정일개모형적의합정도불시흔가고,지능재일정정도상설명모형의합효과。침대차문제,이용동시고급측량오차화모형오차적최소이승배치법진행고정의합,장기의합득도적정도치작위삼고,병제출이용고정이상잔차삼유도화내、외부합정도동시진행정도분석,연후여이차다항식화BP신경망락의합결과진행대비분석。연구결과표명:대우대면적고정이상치변화교대적지구,최소이승배치법능구취득교고적의합정도;이용잔차치삼유도진행정도평정시일충유효가고적방법。
The common method to determine Quasi-Geoids is GPS leveling.The fitting method is surface fit-ting,considering only the measurement error,leading to inaccurate fitting result.It is impossible to judge fitting result by inner and outer fitting,as it can only explain a certain extent of the fitting effort to the model.Thus the least square collocation method is used for elevation fitting which takes measurement error and model error into account.By taking the fitting result as a reference,and method of using three dimension diagrams of residual of elevation anomaly,and the inner and outer fitting result is put forward to analyze the results.Then the result with quadratic polynomial and BP neural network is compared.The result shows that LSC method can achieve high fitting precision for large area with height anomaly value changes significantly.It is an efficient approach to assess the fitting result with the three dimensional diagram.