四元数矩阵在航天相机像面位置求解中的应用

Application of quaternion matrix in resolution of aerospace camera image plane position

研究了四元数矩阵在航天相机像面位置求解中的应用。提出了一种功能等同于齐次旋转变换矩阵的改进的四元数变换矩阵,并依据多体系统理论,利用改进的四元数变换矩阵和齐次坐标变换矩阵两种方法推导出了对应于地面景物的两种航天相机的像面位置模型,阐述了利用四元数实时求解的算法来获得各像点的像面位置的实时解的方法。同时对这两种求解方法进行了计算机模拟。结果证明,利用改进的四元数变换矩阵方法的求解速度比利用齐次坐标变换矩阵的方法快一些。

An improved quaternion transformation matrix with function equal to that of corresponding uniform rotation linear coordinate transformation matrix is proposed, and the equation of the corresponding ground scenery position in image plane is derived using the quaternion transformation method and the uniform linear coordinate transformation method and the real-time resolution method for corresponding ground scenery position in image position is derived using real-time resolution method for quaternion. Computer simulations made for the two solution methods proves that the solution speed of improved quaternion matrix arithmetic is faster than that of the coordinate transformation arithmetic.