High-resolution space-borne remote sensors usually adopt mobile imaging, combining pushbroom and whiskbroom modes. In these modes, to achieve fast and accurate splicing and imaging application, a mathematical modeling method is proposed to match optical image motion tracing. Through the analysis of impact of scan angle and earth surface, the degrees of velocity mismatch and imaging deformation are computed and fast geometric correction is achieved by compensating the image shift for camera image plane at each point. Finally, physics time delayed and integration (TDI) CCD imaging simulation system is used for the simulation analysis of imaging. Simulation results show that the image shift amount increases and the image distortion turns serious with the increase of the scan angle. Velocity mismatch imaging is geometrically rapidly corrected under different scanning angles using optical tracing matching model. The mean square errors of simulation and experimental imaging quality are analyzed. The difference reaches to -0.000011 between simulation and experimental imaging and the mean square error of the corrected image turns small. The results show that this method can meet the demand of the ground satellite camera imaging simulation. The calibration method has high efficiency and is easy to splice.