姚吉利, 韩保民, 杨元喜. 罗德里格矩阵在三维坐标转换严密解算中的应用[J]. 武汉大学学报 ( 信息科学版), 2006, 31(12): 1094-1096.
引用本文: 姚吉利, 韩保民, 杨元喜. 罗德里格矩阵在三维坐标转换严密解算中的应用[J]. 武汉大学学报 ( 信息科学版), 2006, 31(12): 1094-1096.
YAO Jili, HAN Baomin, YANG Yuanxi. Applications of Lodrigues Matrix in 3D Coordinate Transformation[J]. Geomatics and Information Science of Wuhan University, 2006, 31(12): 1094-1096.
Citation: YAO Jili, HAN Baomin, YANG Yuanxi. Applications of Lodrigues Matrix in 3D Coordinate Transformation[J]. Geomatics and Information Science of Wuhan University, 2006, 31(12): 1094-1096.

罗德里格矩阵在三维坐标转换严密解算中的应用

Applications of Lodrigues Matrix in 3D Coordinate Transformation

  • 摘要: 利用反对称矩阵和罗德里格矩阵的性质,把传统的三个旋转角参数用反对称矩阵的三个独立元素代替,推导了用三个公共点计算任意旋转角情况下的7个参数的直接计算公式,并建立了相应的平差模型。

     

    Abstract: In the 3D coordinate transformation,change of two datum system origins ΔX,ΔY,ΔZ,scale change factor λ and three rotate angle θ,,ψ are generally used as parameters,a total of seven changes is called seven-parameter transformation.There are three transformation models,the Buras-Wolf model and the Molodensky model and the WTUSM model,generally used between two datum systems transformation.The linear models is used when the rotate angles are small;however,when the rotate angles are bigger,model errors will be produced relatively.

     

/

返回文章
返回