Preface
List of Symbols
1. Binary Erosion and Dilation
1.1 Introduction
1.2 Euclidean and Discrete Binary Images
1.3 Erosion
1.4 Dilation
1.5 Algebraic Properties
1.6 Filter Properties
1.7 Relationship to Set Operations
1.8 Bounded Operators
1.9 Exercises
1.10 Laboratory Experiments
1.11 References.
2. Binary Opening and Closing
2.1 Opening
2.2 Closing
2.3 Filter Properties
2.4 Application of Opening and Closing Filters
2.5 Alternating Sequential Filters
2.6 Invariance
2.7 T-Openings
2.8 Demonstration
2.9 Exercises
2.10 Laboratory Experiments
2.11 References.
3. Morphological Processing of Binary Images
3.1 Pixel Regions
3.2 Boundary Detection
3.3 Reconstruction
3.4 Conditional Dilation
3.5 Marker Selection in Reconstruction
3.6 Reconstructive T-opening
3.7 Logical Openings
3.8 Logical Structural Filters
3.9 Connected Operators
3.10 Skeletonization
3.11 Distance Transform
3.12 Geodesic Distance Transform
3.13 Exercises
3.14 Laboratory Experiments
3.15 References.
4. Hit-or-Miss Transform
4.1 The Transform
4.2 Object Recognition
4.3 Thinning
4.4 Pruning
4.5 Exercises
4.6 Laboratory Experiments
4.7 References.
5. Gray-Scale Morphology
5.1 Mathematical Preliminaries
5.2 Gray-Scale Erosion
5.3 Gray-Scale Dilation
5.4 Algebraic Properties
5.5 Filter Properties
5.6 Umbra Transform
5.7 Flat Structuring Elements
5.8 Gray-Scale Morphology for Discrete Images
5.9 Gray-Scale Morphology for Discrete Bounded Signals
5.10 Gray-Scale Opening and Closing
5.11 Exercises
5.12 Laboratory Experiments
5.13 References.
6. Morphological Processing of Gray-Scale Images
6.1 Morphological Gradient
6.2 Top-Hat Transform
6.3 Gray-Scale Alternating Sequential Filters
6.4 Gray-Scale Morphological Reconstruction
6.5 Flat Zones and Connected Filters
6.6 Gray-Scale Reconstructive Opening
6.7 Connected Alternating Sequential Filters
6.8 Image Extrema
6.9 Markers From Regional Maxima of Filtered Images
6.10 Extinction Values
6.11 Demonstration
6.12 Exercises
6.13 Laboratory Experiments
6.14 References.
7. Morphological Segmentation Watershed
7.1 Watershed From Markers
7.2 Watershed, Voronoi Diagram and SKIZ
7.3 Segmentation of Overlapped Convex Cells
7.4 Inner and Outer Markers
7.5 Hierarchical Watershed Transform
7.6 Watershed Transform Algorithms
7.7 Demonstrations
7.8 Exercises
7.9 Laboratory Experiments
7.10 References.
8. Granulometries
8.1 Granulometries Generated by a Single Opening
8.2 Discrete Size Distributions
8.3 The Open and Discrete-Size Transforms
8.4 Granulometries on Random Binary Images
8.5 Granulometric Classification
8.6 General Granulometries
8.7 Logical Granulometries
8.8 Discrete Granulometric Bandpass Filters
8.9 Gray-Scale Granulometries
8.10 Exercises
8.11 Laboratory Experiments
8.12 References.
9. Automatic Design of Morphological Operators
9.1 Boolean Functions
9.2 Morphological Representation
9.3 Optimal W-Operators
9.4 Design of Optimal W-Operators
9.5 Optimal Increasing Filters
9.6 Differencing Filters
9.7 Resolution Conversion
9.8 Multiresolution Analysis
9.9 Aperture Filters
9.10 Relation to Pattern Recognition
9.11 Exercises
9.12 References
Index.