1Introduction
1.1Pictures
1.2DigitalGeometryandRelatedDisciplines
1.3Exercises
1.4CommentedBibliography
2GridsandDigitization
2.1TheGridPointandGridCellModels
2.2ConnectedComponents
2.3DigitizationModels
2.4PropertyEstimation
2.5Exercises
2.6CommentedBibliography
3Metrics
3.1BasicsAboutMetrics
3.2GridPointMetrics
3.3GridCellMetrics
3.4MetricsonPictures
3.5Exercises
3.6CommentedBibliography
4AdjacencyGraphs
4.1Graphs,AdjacencyStructures,andAdjacencyGraphs
4.2SomeBasicsofGraphTheory
4.3OrientedAdjacencyGraphs
4.4CombinatorialMaps
4.5Exercises
4.6CommentedBibliography
5IncidencePseudographs
5.1IncidenceStructures
5.2Boundaries,Frontiers,andtheELderCharacteristic
5.3TheRegularCase
5.4PicturesonIncidenceGrids
5.5Exercises
5.6CommentedBibliography
6Topology
6.1TopologicSpaces
6.2DigitalTopologies
6.3TopologicConcepts
6.4CombinatorialTopology
6.5Exercises
6.6CommentedBibliography
7CurvesandSurfaces:Topology
7.1CurvesintheEuclideanTopology
7.2CurvesinIncidenceGrids
7.3CurvesinAdjacencyGrids
7.4SurfacesintheEuclideanTopology
7.5SurfacesandSeparationsin3DGrids
7.6Exercises
7.7CommentedBibliography
8CurvesandSurfaces:Geometry
8.1PlanarCurvesandArcs
8.2SpaceCurvesandArcs
8.3SurfacesandSolids
8.4SurfaceTracingandApproximation
8.5Exercises
8.6CommentedBibliography
92DStraightness
102DArcLength;CurvatureandCorners
113DStraightnessandPtanarity
123DAreLength,SurfaceArea,andCurvature
13HullsandDiagrans
14Transformations
15MorphologicOperations
16Deformations
17PicturePropertiesandSpatialRelations
ListofAlgorithms
ListofSymbols
ListofAxioms
Bibliography
Index