Digital and Image Geometry
Advanced Lectures
Published on 16. January 2002
Book
Paperback/Softback
VIII, 464 pages
978-3-540-43079-7 (ISBN)
Description
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.
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.
More details
Series
Edition
2001 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 464 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 26 mm
Weight
709 gr
ISBN-13
978-3-540-43079-7 (9783540430797)
DOI
10.1007/3-540-45576-0
Schweitzer Classification
Other editions
Additional editions
E-Book
07/2003
Springer
€53.49
Available for download
Content
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.- Multigrid Convergence.- Approximation of 3D Shortest Polygons in Simple Cube Curves.- Segmentation and Length Estimation of 3D Discrete Curves.- Multigrid Convergence of Geometric Features.- Length Estimation for Curves with Different Samplings.- The 2-D Leap-Frog: Integrability, Noise, and Digitization.- On Approximation of Jordan Surfaces in 3D.- Shape Similarity and Simplification.- Similarity Measure Computation of Convex Polyhedra Revisited.- Reversible Surface Skeletons of 3D Objects by Iterative Thinning of Distance Transforms.- Distance Transformation and Skeletonization of 3D Pictures and Their Applications to Medical Images.- About the Limiting Behaviour of Iterated Robust Morphological Operators.- Collinearity and Weak Collinearity in the Digital Plane.