An adaptive image inpainting method based on the modified mumford-shah model and multiscale parameter estimation

Abstract

Image inpainting is a process of filling missing and damaged parts of image. By using the Mumford-Shah image model, the image inpainting can be formulated as a constrained optimization problem. The Mumford-Shah model is a famous and effective model to solve the image inpainting problem. In this paper, we propose an adaptive image inpainting method based on multiscale parameter estimation for the modified Mumford-Shah model. In the experiments, we will handle the comparison with other similar inpainting methods to prove that the combination of classic model such the modified Mumford-Shah model and the multiscale parameter estimation is an effective method to solve the inpainting problem.

Keywords

• image inpainting
• Mumford-Shah model
• modified Mumford-Shah model
• regularization
• Euler-Lagrange equation
• inverse gradient
• multiscale