测绘与空间地理信息
測繪與空間地理信息
측회여공간지리신식
GEOMATICS & SPATIAL INFORMATION TECHNOLOGY
2014年
7期
205-206,209
,共3页
冯剑桥%黄张裕%徐秀杰%刘国超
馮劍橋%黃張裕%徐秀傑%劉國超
풍검교%황장유%서수걸%류국초
总体最小二乘%混合最小二乘%坐标转换%转换参数
總體最小二乘%混閤最小二乘%坐標轉換%轉換參數
총체최소이승%혼합최소이승%좌표전환%전환삼수
total least square%total least square-least square%coordinate transformation%conversion parameter
在测量数据处理中,最为经典的处理方法是最小二乘法,认为误差只是包含在观测向量当中,系数矩阵中不包含误差。实际上由于模型等因素,系数矩阵中经常存在着误差。为了平差的严密性和精确性,采用一种可以同时顾及观测向量误差和系数矩阵误差的总体最小二乘方法,应用于测量数据处理和坐标转换中,得到更符合实际的平差处理,获得更准确的坐标转换参数。
在測量數據處理中,最為經典的處理方法是最小二乘法,認為誤差隻是包含在觀測嚮量噹中,繫數矩陣中不包含誤差。實際上由于模型等因素,繫數矩陣中經常存在著誤差。為瞭平差的嚴密性和精確性,採用一種可以同時顧及觀測嚮量誤差和繫數矩陣誤差的總體最小二乘方法,應用于測量數據處理和坐標轉換中,得到更符閤實際的平差處理,穫得更準確的坐標轉換參數。
재측량수거처리중,최위경전적처리방법시최소이승법,인위오차지시포함재관측향량당중,계수구진중불포함오차。실제상유우모형등인소,계수구진중경상존재착오차。위료평차적엄밀성화정학성,채용일충가이동시고급관측향량오차화계수구진오차적총체최소이승방법,응용우측량수거처리화좌표전환중,득도경부합실제적평차처리,획득경준학적좌표전환삼수。
In measurement data processing , the most classic data processing method is the least square ( LS) method.The error is contained in the observation vector , and the coefficient matrix does not contain error .Actually, the coefficient matrix also contains er-rors, which result from the model error. For rigor and accurate adjustment , this paper explores a way to take the observation vector er-ror and the error of the coefficient matrix into account and this method is called the total least square method .Applied to the measure-ment data processing and coordinate transformation , this method obtains a more accurate model , more real differential treatment and more accurate coordinate transformation parameters .