测绘与空间地理信息
測繪與空間地理信息
측회여공간지리신식
Geomatics & Spatial Information Technology
2015年
10期
45-47
,共3页
吴禹%李明峰%王春%宋文涛
吳禹%李明峰%王春%宋文濤
오우%리명봉%왕춘%송문도
标度总体最小二乘%权比%三维坐标转换%平差
標度總體最小二乘%權比%三維坐標轉換%平差
표도총체최소이승%권비%삼유좌표전환%평차
scaled total least squares%weight ratio%coordinate transformation%adjustment
将顾及观测向量与系数矩阵权比的总体最小二乘法应用于三维坐标转换,阐述了验前单位权方差法和目标函数最小化法确定观测向量与系数矩阵标度的计算步骤,结合算例探讨了两种方法的适用特点,得出了有益的结论。
將顧及觀測嚮量與繫數矩陣權比的總體最小二乘法應用于三維坐標轉換,闡述瞭驗前單位權方差法和目標函數最小化法確定觀測嚮量與繫數矩陣標度的計算步驟,結閤算例探討瞭兩種方法的適用特點,得齣瞭有益的結論。
장고급관측향량여계수구진권비적총체최소이승법응용우삼유좌표전환,천술료험전단위권방차법화목표함수최소화법학정관측향량여계수구진표도적계산보취,결합산례탐토료량충방법적괄용특점,득출료유익적결론。
The total least squares method which takes the observation vector and the coefficient matrix weight ratio into count is applied to 3D coordinate transformation.The calculation steps of the prior unit weight variance method and the minimum objective function method for determining the scaling factor of observation vector and coefficient matrix was proposed.The characteristics and practical range of two methods were summarized in the example and some useful conclusions were drawn.