To solve the problem that the traditional electric-optical reconnaissance platform which is the exposed spherical structure increases the radar cross section of airplane dramatically, we propose a method using double reflectors rotating along the pitch axis and the azimuth axis to achieve wide-angle scanning. The conformal design with aircraft can be realized because of the small exposed size of this structure, and the cloaking performance of the aircraft is ensured. Based on the light reflection vector theory, we firstly study the imaging characteristics of the scanning system, and quantitatively analyze image rotation induced by the two reflectors rotating along the pitch axis and azimuth axis. The exact relationship between the degree and direction of the image rotation angle and the rotation angle and direction of the two reflectors is concluded. According to the above image rotation compensation theory, a bilateral control technique to eliminate the image rotation is put forward when the image de-rotation prism is controlled, and exactly cooperative motion of the scanning mirror and the de-rotation structure can be realized. Finally, imaging experiments are carried out to validate the proposed technique, and the results indicate that the image rotation is eliminated after de-rotation and high-precision optical image despun with root mean square less than 8' is achieved.