Image Inpainting via Fluid Equations

mage inpainting is a process for filling in part of an image, using information from its surrounding area. We choose a PDE (Partial Differential Equation) based method, i.e., we pick up a differential equation which assumes the present distorted image as its initial data, and evolve the data in time so that the missing information will be filled in by data from the surroundings of the defected region; the latter are given as boundary conditions of the differential formulations. The boundary data include RGB (Red-Green-Blue) components of the image in spherical coordinate system and their normal derivatives. This data naturally dissipate into the regions in which RGB components of the color image are missing or corrupted, so that it fills in the gap in information by reconstructing the colored image inside this region.