引用本文: 周拥军, 寇新建. 正交Procrustes分析及其在旋转矩阵估计中的应用[J]. 武汉大学学报 ( 信息科学版), 2009, 34(8): 996-999.
ZHOU Yongjun, KOU Xinjian. Orthogonal Procrustes Analysis and Its Application on Rotation Matrix Estimation[J]. Geomatics and Information Science of Wuhan University, 2009, 34(8): 996-999.
 Citation: ZHOU Yongjun, KOU Xinjian. Orthogonal Procrustes Analysis and Its Application on Rotation Matrix Estimation[J]. Geomatics and Information Science of Wuhan University, 2009, 34(8): 996-999.

## Orthogonal Procrustes Analysis and Its Application on Rotation Matrix Estimation

• 摘要: 采用正交Procrustes分析来估计旋转矩阵,该方法是一种直接解法,只需要将一特征矩阵进行奇异值分解即可,可以用于直接估计旋转矩阵,也可以作为光束法平差的初值。介绍了正交Procrustes分析在相对定向的直接解法和绝对定向中的应用,并以一组近景摄影测量数据进行了验证。

Abstract: Rotation matrix estimation is a basic problem in photogrammetry field. Traditional approaches are the least square solution with prior initial values,whereas the initial values are hard to be obtained in some cases. Furthermore,the bad initial values are apt to lead wrong convergence in iterations. The orthogonal procrustes analysis (OPA) is applied for rotation matrix estimation in photogrammetry. OPA is a direct solution in parameters estimation,which needs to Singular Value Decompose (SVD) of a matrix. The solution could be used as either rotation matrix estimation or the initial values for bundle adjustment. OPA is applied for direct relative orientation and absolute orientation in this paper. The results of a close-range photogrammetry case are given to verify it.

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