Digital and Image Geometry : Advanced Lectures Images or discrete objects to be analyzed based on digital image data need to be represented analyzed transformed recovered etc. These problems have stimulated many interesting developments in theoretical foundations of image processing. This coherent anthology presents 27 state of the art surveys and research papers on digital image geometry and topology. It is based on a winter school held at Dagstuhl Castle Germany in December 2000 and offers topical sections on topology representation geometry multigrid convergence and shape similarity and simplification