Image Inpainting Algorithm for Jacquard Images Based on Mumford-Shah Model

An effective inpainting algorithm for filling-in of spots and cracks in jacquard images is proposed. It first improves the classical Mumford-Shah model by imposing some explicit smooth constraints on the formation of discontinuities. Then, a numerical solution of the improved Mumford-Shah model is implemented by its gradient descent flow which leads to two coupled second order partial differential equations, one for the gray levels and the other for the signature function of discontinuities. Experiments on noisy jacquard images are presented to illustrate the feasibility of the algorithm.