Based On Partial Differential Equations (pde) Image Repair

Digital image inpainting is an important part of image processing .It is mainly used to restoring the damaged image with some algorithms to attain to special goals , which from the restoration of damaged painting with cracks and scratches to the removal/replacement of objects or words.Now the image inpainting can be divided into two kinds: the image inpaiting based on partial differential equations (PDEs) and the image inpainting based on texture synthesis.PDE-based image inpainting model's main ideal is to change the image inpaiting process into a series of PDEs or energy function models, so we can deal with the image with numerical iterations and intelligent optimization methods. This algorithm propagates the useful information which around the inpainting domain in the direction of the isophotes automatically. It also smoothing the noise while preserving the edges.In this paper, we mainly study several types of PDE-based image inpaiting models: BSCB model, Curvature Driven Diffusion(CDD) model, TV-inpainting, elastic inpaiting and Mumford-shah inpainting. We also present simulations on some models and compare the inpainting effects of different models.PDE-based inpainting model works well to small damaged blocks, but doesn't have good effect for big damaged blocks inpainting. So we must used the inpainting method based on texture synthesis. This paper also studies many inpainting methods based on texture synthesis, a new inpainting method based on texture synthesis which also includes the idea of inpainting along the isophotes is presented. An adaptive algorithm is applied to improve it and get more better effect. At last, we program to realize many inpainting models besed on texture synthsis and compare their inpainting effects.