Chan, Tony F.Shen, JianhongVese, Luminita2007-08-162007-08-162002-08https://hdl.handle.net/11299/3810In this article, we intend to give a broad picture of mathematical image processing through one of the most recent and very successful approaches -- the variational PDE method. We first discuss two crucial ingredients for image processing: image modeling or representation, and processor modeling. We then focus on the variational PDE method. The backbone of this article consists of two major problems in image processing -- inpainting and segmentation.