Lecture Notes in Computer Science : Advanced Lectures - Gilles Bertrand

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Lecture Notes in Computer Science

Advanced Lectures

By: Gilles Bertrand (Editor), Atsushi Imiya (Editor), Reinhard Klette (Editor)

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Paperback | 16 January 2002

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468 Pages

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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.

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An Axiomatic Approach to Digital Topology	p. 3
Generic Programming Techniques that Make Planar Cell Complexes Easy to Use	p. 17
Algorithms and Data Structures for Computer Topology	p. 38
Computer Presentation of 3-Manifolds	p. 59
"Continuous" Multifunctions in Discrete Spaces with Applications to Fixed Point Theory	p. 75
SpaMod: Design of a Spatial Modeling Tool	p. 91
Introduction to Combinatorial Pyramids	p. 108
Representing Vertex-Based Simplicial Multi-complexes	p. 129
Discrete Polyhedrization of a Lattice Point Set	p. 150
Digital Partitions Encoding	p. 163
Stability and Instability in Discrete Tomography	p. 175
Point-to-Line Mappings and Hough Transforms	p. 187
Digital Lines and Digital Convexity	p. 209
Curvature Flow in Discrete Space	p. 229
Hausdorff Sampling of Closed Sets into a Boundedly Compact Space	p. 250
Cell Complexes and Digital Convexity	p. 272
Approximation of 3D Shortest Polygons in Simple Cube Curves	p. 285
Segmentation and Length Estimation of 3D Discrete Curves	p. 299
Multigrid Convergence of Geometric Features	p. 318
Length Estimation for Curves with Different Samplings	p. 339
The 2-D Leap-Frog: Integrability, Noise, and Digitization	p. 352
On Approximation of Jordan Surfaces in 3D	p. 365
Similarity Measure Computation of Convex Polyhedra Revisited	p. 389
Reversible Surface Skeletons of 3D Objects by Iterative Thinning of Distance Transforms	p. 400
Distance Transformation and Skeletonization of 3D Pictures and Their Applications to Medical Images	p. 412
About the Limiting Behaviour of Iterated Robust Morphological Operators	p. 429
Collinearity and Weak Collinearity in the Digital Plane	p. 439
Author Index	p. 455
Table of Contents provided by Blackwell. All Rights Reserved.

Lecture Notes in Computer Science

Advanced Lectures

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