数码几何 内容简介

全书共有17章。第1章简单介绍了一些几何学的基本概念。第2-8章详细论述了数码几何学的基础理论。第9-12章详细论述了直线、曲线、平面和曲面等重要几何概念。第13-16章重点论述了Hull算子、图和三种重要变换。*后一章是图像的其它特性及其相互关系。

数码几何 目录

1 Introduction
1.1 Pictures
1.2 DigitalGeometryandRelatedDisciplines
1.3 Exercises
1.4 CommentedBibliography
2 GridsandDigitization
2.1 TheGridPointandGridCellModels
2.2 ConnectedComponents
2.3 DigitizationModels
2.4 PropertyEstimation
2.5 Exercises
2.6 CommentedBibliography
3 Metrics
3.1 BasicsAboutMetrics
3.2 GridPointMetrics
3.3 GridCellMetrics
3.4 MetricsonPictures
3.5 Exercises
3.6 CommentedBibliography
4 AdjacencyGraphs
4.1 Graphs,AdjacencyStructures,andAdjacencyGraphs
4.2 SomeBasicsofGraphTheory
4.3 OrientedAdjacencyGraphs
4.4 CombinatorialMaps
4.5 Exercises
4.6 CommentedBibliography
5 IncidencePseudographs
5.1 IncidenceStructures
5.2 Boundaries,Frontiers,andtheELderCharacteristic
5.3 TheRegularCase
5.4 PicturesonIncidenceGrids
5.5 Exercises
5.6 CommentedBibliography
6 Topology
6.1 TopologicSpaces
6.2 DigitalTopologies
6.3 TopologicConcepts
6.4 CombinatorialTopology
6.5 Exercises
6.6 CommentedBibliography
7 CurvesandSurfaces:Topology
7.1 CurvesintheEuclideanTopology
7.2 CurvesinIncidenceGrids
7.3 CurvesinAdjacencyGrids
7.4 SurfacesintheEuclideanTopology
7.5 SurfacesandSeparationsin3DGrids
7.6 Exercises
7.7 CommentedBibliography
8 CurvesandSurfaces:Geometry
8.1 PlanarCurvesandArcs
8.2 SpaceCurvesandArcs
8.3 SurfacesandSolids
8.4 SurfaceTracingandApproximation
8.5 Exercises
8.6 CommentedBibliography
9 2DStraightness
10 2DArcLength;CurvatureandCorners
11 3DStraightnessandPtanarity
12 3DAreLength,SurfaceArea,andCurvature
13 HullsandDiagrans
14 Transformations
15 MorphologicOperations
16 Deformations
17 PicturePropertiesandSpatialRelations
ListofAlgorithms
ListofSymbols
ListofAxioms
Bibliography
Index

自然科学 数学 几何与拓扑

在线阅读