Image inpainting is the process of reconstructing lost or deteriorated parts of images using information from surrounding areas. In this paper, we present an unconditionally stable hybrid numerical method for solving one model based on Allen-Cahn equa...
Image inpainting is the process of reconstructing lost or deteriorated parts of images using information from surrounding areas. In this paper, we present an unconditionally stable hybrid numerical method for solving one model based on Allen-Cahn equation for image inpainting. The proposed method is based on operator splitting techniques. We split this model into three terms, i.e., first-order linear equation, heat equation, and second-order nonlinear equation. We describe the numerical solution algorithm and prove the unconditional stability of the proposed scheme. We present numerical experiments to demonstrate the accuracy and efficiency of the proposed method.