Inpainting of Binary Images Using the Cahn-Hilliard Equation

Abstract—Image inpainting is the filling in of missing or damaged regions of images using information from surrounding areas. The use of a model for inpainting based on the Cahn-Hilliard equation, which allows for fast, efficient inpainting of degraded text, as well as super-resolution of high contrast images is introduced. Image decomposition is an important problem in image processing. The use of a model for inpainting based on the Cahn-Hilliard equation, which allows for fast, efficient inpainting of degraded text, as well as super-resolution of high contrast images is introduced. Cahn-Hilliard equation gives a better result on gray scale images. The Cahn-Hilliard equation is a nonlinear fourth order diffusion equation originating in material science for modeling phase separation and phase coarsening in binary alloys. The inpainting of binary images using the Cahn-Hilliard equation is a new approach in image processing. Processing is done by using subgradients of the total variation functional within the flow, which leads to structure inpainting with smooth curvature of level Index Terms—Classification; descriptors; Foreground support; Histogram of oriented gradients; low rank modeling