Mathematical Morphology and Its Applications to Signal and Image Processing

Table of Contents

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   Book Overview
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   Chapter 1 Morphological Perceptrons: Geometry and Training Algorithms
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   Chapter 2 Morphological Links Between Formal Concepts and Hypergraphs
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   Chapter 3 Morphological Semigroups and Scale-Spaces on Ultrametric Spaces
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   Chapter 4 Topological Relations Between Bipolar Fuzzy Sets Based on Mathematical Morphology
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   Chapter 5 Introducing the Dahu Pseudo-Distance
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   Chapter 6 Symmetric Counterparts of Classical 1D Haar Filters for Improved Image Reconstruction via Discrete Back-Projection
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   Chapter 7 Watershed Segmentation with a Controlled Precision
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   Chapter 8 Bandeirantes: A Graph-Based Approach for Curve Tracing and Boundary Tracking
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    Chapter 9 A Supervoxel-Based Solution to Resume Segmentation for Interactive Correction by Differential Image-Foresting Transforms
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    Chapter 10 Seed Robustness of Oriented Image Foresting Transform: Core Computation and the Robustness Coefficient
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    Chapter 11 Evaluation of Combinations of Watershed Hierarchies
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    Chapter 12 Prior-Based Hierarchical Segmentation Highlighting Structures of Interest
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    Chapter 13 Morphological Hierarchical Image Decomposition Based on Laplacian 0-Crossings
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    Chapter 14 Sparse Stereo Disparity Map Densification Using Hierarchical Image Segmentation
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    Chapter 15 Hierarchical Segmentation Based Upon Multi-resolution Approximations and the Watershed Transform
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    Chapter 16 Power Tree Filter: A Theoretical Framework Linking Shortest Path Filters and Minimum Spanning Tree Filters
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    Chapter 17 Watersheds on Hypergraphs for Data Clustering
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    Chapter 18 Cost-Complexity Pruning of Random Forests
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    Chapter 19 Implicit Component-Graph: A Discussion
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    Chapter 20 Attribute Operators for Color Images: Image Segmentation Improved by the Use of Unsupervised Segmentation Evaluation Methods
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    Chapter 21 Ultimate Opening Combined with Area Stability Applied to Urban Scenes
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    Chapter 22 PDE for Bivariate Amoeba Median Filtering
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    Chapter 23 A Unified Approach to PDE-Driven Morphology for Fields of Orthogonal and Generalized Doubly-Stochastic Matrices
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    Chapter 24 Matrix-Valued Levelings for Colour Images
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    Chapter 25 Nonlocal Difference Operators on Graphs for Interpolation on Point Clouds
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    Chapter 26 Function Decomposition in Main and Lesser Peaks
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    Chapter 27 Morphological Processing of Gaussian Residuals for Edge-Preserving Smoothing
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    Chapter 28 Quasi-Flat Zones for Angular Data Simplification
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    Chapter 29 Connected Morphological Attribute Filters on Distributed Memory Parallel Machines
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    Chapter 30 Statistical Threshold Selection for Path Openings to Detect Cracks
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    Chapter 31 Attribute Profiles from Partitioning Trees
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    Chapter 32 Distance Between Vector-Valued Fuzzy Sets Based on Intersection Decomposition with Applications in Object Detection
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    Chapter 33 Double-Sided Probing by Map of Asplund’s Distances Using Logarithmic Image Processing in the Framework of Mathematical Morphology
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    Chapter 34 An Affinity Score for Grains Merging and Touching Grains Separation
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    Chapter 35 Morphological Characterization of Graphene Plans Stacking
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    Chapter 36 Segmentation of Collagen Fiber Bundles in 3D by Waterfall on Orientations
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    Chapter 37 Brain Lesion Detection in 3D PET Images Using Max-Trees and a New Spatial Context Criterion
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    Chapter 38 Morphological Texture Description from Multispectral Skin Images in Cosmetology
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    Chapter 39 Application of Size Distribution Analysis to Wrinkle Evaluation of Textile Materials
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    Chapter 40 Morphological Analysis of Brownian Motion for Physical Measurements