Mathematical Modeling and Restoration Algorithm for Image Ghosting

This paper focuses on the mathematical modeling and restoration algorithms for image ghosting. By establishing a mathematical model of ghosted images, we derive the degradation model of ghosted images and subsequently employ an inverse process to recover the original image. The two critical parameters in the degradation modelghosting scale and attenuation coefficient-form the primary focus of this study. The work presented includes: first, introducing the research objectives, significance, and current status of ghosted image restoration, analyzing the formation principles of image ghosting, developing a mathematical model for ghosted images, and deriving the restoration algorithm; second, constructing ghosted images and applying the proposed restoration algorithm to recover them; finally, evaluating the quality of restored images through autocorrelation operations and histogram comparisons between original and restored images, thereby validating the rationality and correctness of the restoration algorithm.