Mathematical morphology and its applications to image processing

Front Matter....Pages i-ix
Introduction....Pages 1-4
Set Operator Decomposition and Conditionally Translation Invariant Elementary Operators....Pages 5-12
Mutational Equations of Morphological Dilation Tubes....Pages 13-20
Thresholdings, Umbrae, Residuals, and Surpluses of L -Images....Pages 21-28
Adaptive Parameterized Openings....Pages 29-36
Synthesis of Adaptive Weighted Order Statistic Filters with Gradient Algorithms....Pages 37-44
A Spatially Variant, Locally Adaptive, Background Normalization Operator....Pages 45-52
Using Genetic Algorithms in the Design of Morphological Filters....Pages 53-59
Minimal Generator Basis of a Finite Structural Opening....Pages 61-68
Watershed, Hierarchical Segmentation and Waterfall Algorithm....Pages 69-76
Minimum Spanning Forests for Morphological Segmentation....Pages 77-84
The Flat Zone Approach and Color Images....Pages 85-92
Joint Region and Motion Estimation with Morphological Tools....Pages 93-100
Morphological Segmentation of Image Sequences....Pages 101-108
Critical Morphological Sampling and Its Applications to Image Coding....Pages 109-116
A Sampling Approach Based on Equicontinuity....Pages 117-124
Application of Morphological Filters for Contour Image Sequence Coding....Pages 125-132
The Geodesic Morphological Skeleton and Fast Transformation Algorithms....Pages 133-140
Multi-Parameter Skeleton Decomposition....Pages 141-148
Morphological Systems Theory: Slope Transforms, Max—Min Differential Equations, Envelope Filters, and Sampling....Pages 149-160
Two Dual Representations of Morphology Based on the Parallel Normal Transport Property....Pages 161-170
Dominance and Incidence Structures with Applications to Stochastic Geometry and Mathematical Morphology....Pages 171-178
The Multiscale Morphology Decomposition Theorem....Pages 179-184
Statistical Pattern Spectrum for Binary Pattern Recognition....Pages 185-192
Generalized Geodesic Distances Applied to Interpolation and Shape Description....Pages 193-200
Performance Analysis of a Morphological Voronoi Tessellation Algorithm....Pages 201-208
Optimization in Voronoi Diagrams....Pages 209-216
A Stochastic Tessellation of Digital Space....Pages 217-224
Liquid Phase Sintered Materials Modelling by Random Closed Sets....Pages 225-232
Monte Carlo Estimation of Morphological Granulometric Discrete Size Distributions....Pages 233-240
On the Implementation of Morphological Operations....Pages 241-248
An Evaluation of Priority Queues for Mathematical Morphology....Pages 249-256
One Pixel Thick Skeletons....Pages 257-264
Fast Grayscale Granulometry Algorithms....Pages 265-272
An Efficient Implementation Technique of Adaptive Morphological Operations....Pages 273-280
Implementation of a Distributed Watershed Algorithm....Pages 281-288
Visualization of Minkowski Operations by Computer Graphics Techniques....Pages 289-296
Morphogenesis Simulations with Lattice Gas....Pages 297-304
Single Object Geometry — The Stereology of Registered Serial Sections....Pages 305-307
Texture Classification Using Neural Networks and Local Granulometries....Pages 309-316
Fusion of MR and CT Images of the Human Brain Using Multiresolution Morphology....Pages 317-324
Morphological Scheme for Morphometric Analysis of Epidermal Biopsy Images....Pages 325-331
Automatic Quantification of Spine Parameters from X-ray Images by Means of Morphological Tools....Pages 333-340
Image Processing: A Key to Success in Industrial Applications....Pages 341-352
Radar Image Analysis Using Morphological Filters....Pages 353-360
Application of Morphological Operators to Supervised Multidimensional Data Classification....Pages 361-368
Back Matter....Pages 369-385