Digital and Image Geometry Advanced Lectures [Paperback]

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.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.Topology.- An Axiomatic Approach to Digital Topology.- Generic Programming Techniques that Make Planar Cell Complexes Easy to Use.- Algorithms and Data Structures for Computer Topology.- Computer Presentation of 3-Manifolds.- Continuous Multifunctions in Discrete Spaces with Applications to Fixed Point Theory.- Representation.- SpaMod: Design of a Spatial Modeling Tool.- to Combinatorial Pyramids.- Representing Vertex-Based Simplicial Multi-complexes.- Discrete Polyhedrization of a Lattice Point Set.- Digital Partitions Encoding.- Geometry.- Stability and Instability in Discrete Tomography.- Point-to-Line Mappings and Hough Transforms.- Digital Lines and Digital Convexity.- Curvature Flow in Discrete Space.- Hausdorff Sampling of Closed Sets into a Boundedly Compact Space.- Cell Complexes and Digital Convexity.- Multlı