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.