Digital and Image Geometry数字图像几何学

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作   者:Gilles Bertrand,Atsushi Imiya,Reinhard 著

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ISBN:9783540430797

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简介

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.

目录

PartⅠ Topology
An Axiomatic Approach to Digital Topology
Generic Programming Techniques that Make Planar Cell Complexes Easy to Use
Algorithma and Data Structures for Computer Topology
Computer Presentation of 3-Manifolds
“Continuous”Multifunctions in Discrete Spaces with Applications to Fixed Point Theory
PartⅡ Representation
SpaMod:Design of a Spatial Tool
Introduction to Combinatorial Pyramids
Representing Vertex-Based Simplicial Multi-complexes
Discrete Polyhedrization of a Lattice Point Set
Digital Partitions Encoding
PartⅢ 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
PartⅣ Multigrid Convergence
Approximation of 3D Shortext Polygons in Simmle 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
PartⅤ Shape Similartity and Simplification
Similarity Measure Computation of Convex Ployhedra 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
Author Index

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