Mathematical morphology and its applications to signal and image processing : 13th International Symposium, ISMM 2017, Fontainebleau, France, May 15-17, 2017 : proceedings

This book contains the refereed proceedings of the 13th International Symposium on Mathematical Morphology, ISMM 2017, held in Fontainebleau, France, in May 2017. The 36 revised full papers presented together with 4 short papers were carefully reviewed and selected from 53 submissions. The papers are organized in topical sections on algebraic theory, max-plus and max-min mathematics; discrete geometry and discrete topology; watershed and graph-based segmentation; trees and hierarchies; topological and graph-based clustering, classification and filtering; connected operators and attribute filters; PDE-based morphology; scale-space representations and nonlinear decompositions; computational morphology; object detection; and biomedical, material science and physical applications. Front Matter....Pages I-XIV Front Matter....Pages 1-1 Morphological Perceptrons: Geometry and Training Algorithms....Pages 3-15 Morphological Links Between Formal Concepts and Hypergraphs....Pages 16-27 Morphological Semigroups and Scale-Spaces on Ultrametric Spaces....Pages 28-39 Topological Relations Between Bipolar Fuzzy Sets Based on Mathematical Morphology....Pages 40-51 Front Matter....Pages 53-53 Introducing the Dahu Pseudo-Distance....Pages 55-67 Symmetric Counterparts of Classical 1D Haar Filters for Improved Image Reconstruction via Discrete Back-Projection....Pages 68-80 Front Matter....Pages 81-81 Watershed Segmentation with a Controlled Precision....Pages 83-94 Bandeirantes: A Graph-Based Approach for Curve Tracing and Boundary Tracking....Pages 95-106 A Supervoxel-Based Solution to Resume Segmentation for Interactive Correction by Differential Image-Foresting Transforms....Pages 107-118 Seed Robustness of Oriented Image Foresting Transform: Core Computation and the Robustness Coefficient....Pages 119-130 Front Matter....Pages 131-131 Evaluation of Combinations of Watershed Hierarchies....Pages 133-145 Prior-Based Hierarchical Segmentation Highlighting Structures of Interest....Pages 146-158 Morphological Hierarchical Image Decomposition Based on Laplacian 0-Crossings....Pages 159-171 Sparse Stereo Disparity Map Densification Using Hierarchical Image Segmentation....Pages 172-184 Hierarchical Segmentation Based Upon Multi-resolution Approximations and the Watershed Transform....Pages 185-195 Front Matter....Pages 197-197 Power Tree Filter: A Theoretical Framework Linking Shortest Path Filters and Minimum Spanning Tree Filters....Pages 199-210 Watersheds on Hypergraphs for Data Clustering....Pages 211-221 Cost-Complexity Pruning of Random Forests....Pages 222-232 Front Matter....Pages 233-233 Implicit Component-Graph: A Discussion....Pages 235-248 Attribute Operators for Color Images: Image Segmentation Improved by the Use of Unsupervised Segmentation Evaluation Methods....Pages 249-260 Front Matter....Pages 233-233 Ultimate Opening Combined with Area Stability Applied to Urban Scenes....Pages 261-268 Front Matter....Pages 269-269 PDE for Bivariate Amoeba Median Filtering....Pages 271-283 A Unified Approach to PDE-Driven Morphology for Fields of Orthogonal and Generalized Doubly-Stochastic Matrices....Pages 284-295 Matrix-Valued Levelings for Colour Images....Pages 296-308 Nonlocal Difference Operators on Graphs for Interpolation on Point Clouds....Pages 309-316 Front Matter....Pages 317-317 Function Decomposition in Main and Lesser Peaks....Pages 319-330 Morphological Processing of Gaussian Residuals for Edge-Preserving Smoothing....Pages 331-341 Quasi-Flat Zones for Angular Data Simplification....Pages 342-354 Front Matter....Pages 355-355 Connected Morphological Attribute Filters on Distributed Memory Parallel Machines....Pages 357-368 Statistical Threshold Selection for Path Openings to Detect Cracks....Pages 369-380 Attribute Profiles from Partitioning Trees....Pages 381-392 Front Matter....Pages 393-393 Distance Between Vector-Valued Fuzzy Sets Based on Intersection Decomposition with Applications in Object Detection....Pages 395-407 Double-Sided Probing by Map of Asplund’s Distances Using Logarithmic Image Processing in the Framework of Mathematical Morphology....Pages 408-420 Front Matter....Pages 421-421 An Affinity Score for Grains Merging and Touching Grains Separation....Pages 423-434 Morphological Characterization of Graphene Plans Stacking....Pages 435-446 Segmentation of Collagen Fiber Bundles in 3D by Waterfall on Orientations....Pages 447-454 Brain Lesion Detection in 3D PET Images Using Max-Trees and a New Spatial Context Criterion....Pages 455-466 Morphological Texture Description from Multispectral Skin Images in Cosmetology....Pages 467-477 Application of Size Distribution Analysis to Wrinkle Evaluation of Textile Materials....Pages 478-485 Morphological Analysis of Brownian Motion for Physical Measurements....Pages 486-497 Back Matter....Pages 499-500