提出以对偶四元数为数学工具进行线阵CCD(电荷耦合元件)遥感影像几何定位的全新技术方法。利用对偶四元数建立遥感通用传感器严密成像模型,将光线束的位置和姿态统一用对偶四元数表示,通过传感器扫描光线在空间中的螺旋运动,实现像点到其对应地面点物方坐标的变换,从而克服了成像几何参数(外方位元素)之间的强相关性。按照空间刚体变换线性蒙皮混合理论,可以把刚体变换矩阵分解为平移和旋转两个部分,对平移部分进行线性插值,对旋转部分进行球面插值,从而实现线阵CCD遥感影像外方位元素的解算。按照所建立的成像几何模型,利用某地区Geoeye-1遥感影像进行几何定位实验,实验结果表明新算法获得的几何定位精度优于传统算法,能够解决定位参数之间的相关性问题。

In this paper,we propose a new method that uses dual quaternion as the mathematical tool for geo-positioning remote sensing images of linear-array CCD. Dual quaternion is used to establish an universal imaging model of remote sensors and to define the position and attitude of the light beam. In order to overcome the strong correlation between the imaging geometry parameters (exterior orientation),we scan the spiral movement of the sensor light and achieve the transformation between image points and ground points. According to the theory of linear skinning blending of the rigid body transformation,we decompose the rigid body transformation matrix into two parts:translation and rotation. In order to calculate the exterior orientation elements of the remote sensing images of linear-array CCD,we use linear interpolation to the translation part and spherical interpolation to the rotation part. According to the established imaging model,geo-positioning experiments are made with Geoeye-1 remote sensing images. The results show that the new algorithm can obtain better geo-positioning accuracy than traditional algorithms,and succeeds in solving the correlation problem between the positioning parameters.