Aiming at the problem of distortion in the edge region of the existing fish-eye image distortion correction algorithm, a fast correction algorithm is designed by introducing the stretching factor based on the longitude correction algorithm. Firstly, the effective area of the image is extracted by the fast scanning method to obtain the radius and center of the effective area of the distorted image. Secondly, based on the fish-eye image distortion model and the radial distortion principle, the distortion correction stretching factor is determined, and then the stretching factor is added in the longitude and latitude directions for correction. Finally, the correction results are compared with the longitude correction algorithm, longitude and latitude correction algorithm , double longitude algorithm and the recentering correction algorithm. The results show that the algorithm can effectively improve the distortion of image edge, and the correction efficiency is significantly improved compared with other algorithms. In conclusion, the algorithm proposed in this paper can quickly and effectively correct the fish-eye image with high quality, and provide reference for the research on improving the quality of distortion correction.