Implementation of Image Inpainting using Heat Equation

The objective of this paper is to develop and implement Image Inpainting using Heat Equation. Image Inpainting is a technique of modifying an image in an undetectable form. Its most often used to repair an image, although it can easily be used to remove unwanted objects. The modification of images in a way that is non-detectable for an observer who does not know the original image is a practice as old as artistic creation itself. An effective technique for image Inpainting has been developed based on partial differential equation (PDE). Instead of solving the problem in frequency domain, this rather new approach evaluates images in time domain. The basic concept starts from the impression of diffusion as a physical process and draws an analogy between the image inpainting process and the diffusion. Images can be comparable to heat, fluid, and gas which spontaneously move from the area of high concentration to the area of lower concentration. Therefore, image inpainting via PDE highly involves the heat equation.