Vignetting Image Correction Based on Gaussian Quadrics Fitting

According to the gray distribution of vignetting image, the method of Gaussian quadrics fitting based on steepest descent method (SDM) is introduced to solve the problem of irregular Gaussian quadrics fitting. By this method, we can achieve the whole gray distribution of images and then correct their vignetting phenomenon. The simulation result of actual images illuminated that the parameters of irregular Gaussian quadrics, as well as vignetting image gray value, can be effectively estimated with this method. In the result, the vignetting phenomenon of actual images was removed, and the images quality was improved effectively at the same time. Since no relevant optical and geometric parameters are required, this method has broad applicability.