LEADER 05352nam 22007935 450 001 9910767514703321 005 20200703033106.0 010 $a3-540-45576-0 024 7 $a10.1007/3-540-45576-0 035 $a(CKB)1000000000211648 035 $a(SSID)ssj0000322619 035 $a(PQKBManifestationID)11247833 035 $a(PQKBTitleCode)TC0000322619 035 $a(PQKBWorkID)10301315 035 $a(PQKB)11090336 035 $a(DE-He213)978-3-540-45576-9 035 $a(MiAaPQ)EBC3073028 035 $a(PPN)155229419 035 $a(EXLCZ)991000000000211648 100 $a20121227d2001 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aDigital and Image Geometry$b[electronic resource] $eAdvanced Lectures /$fedited by Gilles Bertrand, Atsushi Imiya, Reinhard Klette 205 $a1st ed. 2001. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2001. 215 $a1 online resource (VIII, 464 p.) 225 1 $aLecture Notes in Computer Science,$x0302-9743 ;$v2243 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-43079-2 320 $aIncludes bibliographical references and index. 327 $aTopology -- 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. 330 $aImages or discrete objects, to be analyzed based on digital image data, need to be represented, analyzed, transformed, recovered etc. These problems have stimulated many interesting developments in theoretical foundations of image processing. This coherent anthology presents 27 state-of-the-art surveys and research papers on digital image geometry and topology. It is based on a winter school held at Dagstuhl Castle, Germany in December 2000 and offers topical sections on topology, representation, geometry, multigrid convergence, and shape similarity and simplification. 410 0$aLecture Notes in Computer Science,$x0302-9743 ;$v2243 606 $aApplication software 606 $aGeometry 606 $aComputer graphics 606 $aOptical data processing 606 $aComputer science?Mathematics 606 $aComputer Applications$3https://scigraph.springernature.com/ontologies/product-market-codes/I23001 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 606 $aComputer Graphics$3https://scigraph.springernature.com/ontologies/product-market-codes/I22013 606 $aImage Processing and Computer Vision$3https://scigraph.springernature.com/ontologies/product-market-codes/I22021 606 $aDiscrete Mathematics in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/I17028 606 $aMathematics of Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/I17001 615 0$aApplication software. 615 0$aGeometry. 615 0$aComputer graphics. 615 0$aOptical data processing. 615 0$aComputer science?Mathematics. 615 14$aComputer Applications. 615 24$aGeometry. 615 24$aComputer Graphics. 615 24$aImage Processing and Computer Vision. 615 24$aDiscrete Mathematics in Computer Science. 615 24$aMathematics of Computing. 676 $a621.36/7 702 $aBertrand$b Gilles$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aImiya$b Atsushi$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKlette$b Reinhard$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910767514703321 996 $aDigital and image geometry$9983715 997 $aUNINA