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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。
A new technical method for geometric positioning of linear CCD (Charge Coupled Device) remote sensing images with dual quaternion as a mathematical tool is proposed. The dual-element quaternion is used to establish a tight sensing model of the sensor. The position and attitude of the beam are represented by a dual quaternion. The sensor scans the spiral motion in the space to realize the object-to-object coordinates , Thus overcoming the strong correlation between imaging geometrical parameters (extrinsic elements). According to the space rigid body transformation linear skin mixing theory, the rigid body transformation matrix can be decomposed into two parts of translation and rotation, the linear interpolation of the translation part and the spherical interpolation of the rotation part, so as to realize the solution of the outer elements of the linear CCD remote sensing image Count According to the established imaging geometric model, Geoeye-1 remote sensing image in a certain area is used to conduct the geometric positioning experiments. The experimental results show that the new algorithm can get better geometric positioning accuracy than the traditional algorithm and can solve the correlation between the positioning parameters.