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Digital and Image Geometry [[electronic resource] ] : Advanced Lectures / / edited by Gilles Bertrand, Atsushi Imiya, Reinhard Klette



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Titolo: Digital and Image Geometry [[electronic resource] ] : Advanced Lectures / / edited by Gilles Bertrand, Atsushi Imiya, Reinhard Klette Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2001
Edizione: 1st ed. 2001.
Descrizione fisica: 1 online resource (VIII, 464 p.)
Disciplina: 621.36/7
Soggetto topico: Application software
Geometry
Computer graphics
Optical data processing
Computer science—Mathematics
Computer Applications
Computer Graphics
Image Processing and Computer Vision
Discrete Mathematics in Computer Science
Mathematics of Computing
Persona (resp. second.): BertrandGilles
ImiyaAtsushi
KletteReinhard
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Digital and image geometry  Visualizza cluster
ISBN: 3-540-45576-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910767514703321
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Serie: Lecture Notes in Computer Science, . 0302-9743 ; ; 2243