近景摄影测量中旋转矩阵构成方法的研究

Research on the construction of rotation matrix in close-range photogrammetry

本文简明扼要地叙述了近景摄影测量中构成旋转矩阵的常用方法,分析了各种矩阵的结构形式及存在缺点;为了解决这个问题,文章介绍了一种利用四维代数(又称四元数)构成旋转矩阵的方法,并详细说明其原理及应用。通过推导四维代数构成的旋转矩阵在相对定向中的实际应用情况,以及它与其他几种矩阵在运算过程中收敛性的实例比较,说明利用四维代数构成旋转矩阵在近景摄影测量中是一种很有实用意义的方法。

This paper introduced the methods of the construction of rotation matrix in close-range photogrammetry firstly. Then it analyzed the structure and shortcomings of various matrixes respectively. Finally, it deduced a kind of rotation matrix which is made up of four-dimensional algebra. The authors analyzed rotation matrix's application in practice in relative orientation and compared it with other kinds of matrix in astringency. It is found that this kind of rotation matrix is very useful in practice.