单位四元素在坐标转换中的应用  

Application of the Unit Four Elements in the Coordinate Transformation

作　　者：姜柱[1] 刘庆元[2] 周曼 

机构地区：[1]长沙市国土资源局,长沙410000 [2]中南大学,长沙410083 [3]长沙高新技术产业开发区土地储备中心,长沙410000

出　　处：《矿山测量》2012年第5期28-29,81,共3页Mine Surveying

摘　　要：文中首先利用四维代数构成矩阵代替传统的旋转矩阵,避免了三角函数本身存在的多种缺陷,同时避免了在大角度旋转角的情况下,对旋转矩阵求微分困难。其次,利用序贯平差对观测量分组进行计算,避免了高阶矩阵求逆的困难。实验结果表明:利用四维代数和序贯平差对七参数模型进行改进,不仅简化了计算,而且还不影响坐标转换精度。In the paper,firstly,the author uses four-dimensional algebra matrix instead of the traditional matrix to avoid some flaws of the trigonometric and the difficulties in differentiating therotation matrix in the case of large rotation angle.Secondly,the author uses the sequential adjustment to divide the observations into some dependent groups to calculate which avoids the difficulties ininversing the large matrix.Experimental shows that it can simplify the calculation and ensure the accuracy of the coordination transformation using the two ways to improve the traditional Seven-parameter model.

关 键 词：Bursa—wolf模型 Pope—Hinsken算法 序贯平差 

分 类 号：P207[天文地球—测绘科学与技术]