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 ar...
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| Main Authors | , , |
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| Format | eBook |
| Language | English |
| Published |
Cham
Springer Nature
2017
Springer International Publishing AG Springer International Publishing |
| Edition | 1 |
| Series | Lecture Notes in Computer Science |
| Subjects | |
| Online Access | Get full text |
| ISBN | 3319572407 9783319572406 9783319572390 3319572393 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Angulo, Jesús Velasco-Forero, Santiago Meyer, Fernand |
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| Editor | Velasco-Forero, Santiago Angulo, Jes's Meyer, Fernand |
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| Snippet | This book contains the refereed proceedings of the 13th International Symposium on Mathematical Morphology, ISMM 2017, held in Fontainebleau, France, in May... |
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| SubjectTerms | Artificial intelligence Computational complexity Computer programming, programs, data Computer science Computer software Computer vision Data structures (Computer science) Image processing Image processing-Mathematics-Congresses Signal processing |
| Subtitle | 13th International Symposium, ISMM 2017, Fontainebleau, France, May 15-17, 2017, Proceedings |
| TableOfContents | Intro -- Preface -- Organization -- Contents -- Algebraic Theory, Max-Plus and Max-Min Mathematics -- Morphological Perceptrons: Geometry and Training Algorithms -- 1 Introduction -- 2 Related Work -- 3 The Morphological Perceptron -- 3.1 Geometry of a (max, +) Perceptron for Binary Classification -- 3.2 A Training Algorithm Based on the Convex-Concave Procedure -- 4 Geometric Interpretation of Maxout Units -- 5 Experiments -- 5.1 Evaluation of the WDCCP Method -- 5.2 Layers Using Morphological Perceptrons -- 6 Conclusions and Future Work -- References -- Morphological Links Between Formal Concepts and Hypergraphs -- 1 Introduction -- 2 Preliminaries -- 2.1 Formal Concept Analysis (FCA) [15] -- 2.2 Hypergraphs [3,9] -- 3 From Formal Contexts to Hypergraphs -- 3.1 Construction of Hypergraphs from a Formal Context -- 3.2 Morphological Operators -- 4 From Hypergraphs to Formal Contexts -- 4.1 Construction of Formal Contexts from a Hypergraph -- 4.2 Morphological Operators -- 5 Outlook -- References -- Morphological Semigroups and Scale-Spaces on Ultrametric Spaces -- 1 Introduction -- 2 Ultrametric Spaces -- 3 Dilation and Erosion Semigroups on Ultrametric Spaces -- 3.1 Ultrametric Structuring Functions -- 3.2 Ultrametric Dilation and Erosion Multiscale Operators -- 3.3 Discrete Ultrametric Dilation and Erosion Semigroups -- 3.4 Ultrametric -mean and -Laplacian -- 4 Applications to Image and Data Processing -- 5 Conclusion and Perspectives -- References -- Topological Relations Between Bipolar Fuzzy Sets Based on Mathematical Morphology -- 1 Introduction -- 2 Background on Bipolar Fuzzy Sets and Connectives -- 3 Basic Set Theoretical Relations on Bipolar Fuzzy Sets -- 4 Mathematical Morphology on Bipolar Fuzzy Sets -- 5 Adjacency Between Bipolar Fuzzy Sets Based on Mathematical Morphology -- 6 RCC Relations Extended to Bipolar Fuzzy Sets Ultimate Opening Combined with Area Stability Applied to Urban Scenes 3.1 Shortest Path Filters -- 3.2 Gamma Limit of Shortest Path Filters -- 3.3 Calculation of the Gamma Limit -- 4 Analysis and Experiments -- 4.1 Comparison with MST Filter -- 4.2 Analysis of the Leak Problem -- 4.3 Error Analysis of the Approximation -- 5 Conclusion and Future Work -- References -- Watersheds on Hypergraphs for Data Clustering -- 1 Introduction -- 2 Related Work -- 3 Watershed on Hypergraphs -- 3.1 Hypergraphs -- 3.2 Relationship to Watershed Cuts -- 3.3 Algorithm for Watershed on Hypergraphs -- 4 Illustration of the Method -- 5 Discussion and Conclusions -- References -- Cost-Complexity Pruning of Random Forests -- 1 Introduction -- 1.1 Notation and Formulation -- 1.2 Cost-Complexity Pruning -- 2 Out-of-Bag (OOB) Cost Complexity Pruning -- 3 Experiments and Evaluation -- 4 Conclusions -- References -- Connected Operators and Attribute Filters -- Implicit Component-Graph: A Discussion -- 1 Introduction -- 2 Notations -- 3 Basic Notions on Component-Graphs -- 4 Problem Statement -- 5 Flat Zones and Leaves -- 5.1 Flat Zone Image -- 5.2 Detection of the Leaves -- 6 Node Encoding -- 7 Node Synonymy Handling -- 8 Reachable Zones -- 9 Reachable Zone Graph -- 9.1 Reachable Zone Adjacency -- 9.2 Reachable Zone Graph Valuation -- 10 Algorithmic Sketch -- 10.1 Input / Output -- 10.2 Algorithmics and Complexity -- 11 Data-Structure Manipulation -- 12 Concluding Remarks -- References -- Attribute Operators for Color Images: Image Segmentation Improved by the Use of Unsupervised Segmentation Evaluation Methods -- 1 Introduction -- 2 Preliminary Concepts -- 2.1 Color Gradient -- 2.2 Thresholding Decomposition -- 2.3 Attribute Operators -- 3 Color Attribute Operators -- 4 Criteria: Unsupervised Segmentation Evaluation Methods -- 5 Improvements for Color Segmentation -- 5.1 Experimental Results -- 6 Conclusion -- References 7 Conclusion -- References -- Discrete Geometry and Discrete Topology -- Introducing the Dahu Pseudo-Distance -- 1 Introduction -- 2 Theoretical Background -- 2.1 Basic Notions -- 2.2 Scalar vs. Set-Valued Maps -- 2.3 Cubical Complexes -- 2.4 Tree of Shapes -- 2.5 Minimum Barrier Distance -- 3 The Dahu Pseudo-Distance -- 3.1 A Convenient Continuous Yet Discrete Representation -- 3.2 Definition of the Naive Dahu Pseudo-Distance -- 3.3 Solving a Discrete Topology Issue -- 4 Computing the Dahu Pseudo-Distance -- 4.1 Tree of Shapes of Interval-Valued Maps -- 4.2 When the Dahu Pseudo-Distance and the Tree of Shapes Meet -- 4.3 Illustration on Document Image Segmentation -- 5 Related Works -- 6 Conclusion -- References -- Symmetric Counterparts of Classical 1D Haar Filters for Improved Image Reconstruction via Discrete Back-Projection -- 1 Introduction -- 2 The Mojette Transform -- 3 Construction of 1D Symmetric Masks -- 4 Mojette Filtered Back-Projection -- 5 Trapezoidal Decomposition of Symmetric Masks -- 6 Comparison of Symmetric and Haar Pixel Model for FBP -- 7 Reconstruction of a Single Pixel -- 8 Mask Sets from Training Images -- 9 Future Work and Conclusion -- References -- Watershed and Graph-Based Segmentation -- Watershed Segmentation with a Controlled Precision -- 1 Introduction -- 2 The Topography of Node or Edge Weighted Graphs -- 2.1 Definitions and Notations -- 2.2 Flowing Edges, Flowing Paths, Flowing Graphs -- 3 The Topography of Unweighted Gravitational Digraphs -- 3.1 Operators on Digraphs -- 4 Applications -- 4.1 The n-Steep Downstream of X and Its Regional Minima -- 4.2 Locally Correcting a Dead Leaves Tessellation -- 5 Conclusion -- References -- Bandeirantes: A Graph-Based Approach for Curve Tracing and Boundary Tracking -- 1 Introduction -- 2 Related Work -- 2.1 Image Foresting Transform (IFT) -- 3 Bandeirantes Curve Tracing 4.1 Scalable Transmission Favoring Regions of Interest -- 4.2 Artistic Aspect: Focus and Cartoon Effect -- 4.3 Hierarchical Co-segmentation -- 4.4 Example of the Effect of the HRF Highlighting Transitions Between Foreground and Background -- 5 Conclusions and Perspectives -- References -- Morphological Hierarchical Image Decomposition Based on Laplacian 0-Crossings -- 1 Introduction -- 2 Method Overview -- 3 Theoretical Background -- 3.1 Khalimsky's Grid -- 3.2 Morphological Laplace Operator -- 3.3 Tree of Shapes -- 3.4 Well-Composed Sets and Images -- 3.5 Putting Things Together -- 4 Fast Computation of the Hierarchical Representation -- 4.1 A Particular Well-Composed Non-local Interpolation -- 4.2 Labeling Interpolated Sign of to Construct ToSL -- 4.3 Optimization of ToSL Construction -- 4.4 Application to Text Segmentation and Detection -- 5 Conclusion -- References -- Sparse Stereo Disparity Map Densification Using Hierarchical Image Segmentation -- 1 Introduction -- 2 Top Down Segmented Regression Method -- 2.1 General Concept -- 2.2 The Sparse Disparity Map S -- 2.3 The Partition Tree H -- 2.4 Region Modelization -- 2.5 Conditions Defining a Satisfying Modelization -- 2.6 Post-processing -- 3 Results -- 4 Conclusion -- References -- Hierarchical Segmentation Based Upon Multi-resolution Approximations and the Watershed Transform -- 1 Introduction -- 2 Multiscale Watershed Segmentation -- 2.1 Multi-resolution Approximation -- 2.2 Hierarchical Contour Detection -- 3 Experimental Results and Discussion -- 4 Conclusion and Perspectives -- References -- Topological and Graph-Based Clustering, Classification and Filtering -- Power Tree Filter: A Theoretical Framework Linking Shortest Path Filters and Minimum Spanning Tree Filters -- 1 Introduction -- 2 Background -- 2.1 Tree Filter -- 2.2 Gamma Convergence -- 3 Power Tree Filter 4 Experimental Results and Conclusions -- References -- A Supervoxel-Based Solution to Resume Segmentation for Interactive Correction by Differential Image-Foresting Transforms -- 1 Introduction -- 2 Related Works -- 3 Background -- 3.1 Image Foresting Transform (IFT) -- 4 IFT-SLIC for Segmentation Editing -- 5 Experimental Results -- 6 Conclusions -- References -- Seed Robustness of Oriented Image Foresting Transform: Core Computation and the Robustness Coefficient -- 1 Introduction -- 2 Background -- 2.1 Oriented Image Foresting Transform (OIFT) -- 2.2 Oriented Relative Fuzzy Connectedness (ORFC) -- 3 Seed Robustness Analysis of OIFT -- 4 Experimental Results and Conclusions -- References -- Trees and Hierarchies -- Evaluation of Combinations of Watershed Hierarchies -- 1 Introduction -- 2 Combination of Hierarchies -- 2.1 Hierarchy of Quasi Flat Zones and Saliency Map -- 2.2 Generic Scheme of Combination of Hierarchies -- 2.3 Combining n-weight Functions -- 3 Assessment Methodology and Set-Up of Experiments -- 3.1 Assessment Methodology -- 3.2 Set-Up of Experiments -- 4 Assessment of Combinations of Hierarchies -- 4.1 Baseline -- 4.2 Evaluation of Parameter-Free Combinations -- 4.3 Evaluation of Unsupervised Concatenation of Hierarchies -- 4.4 Evaluation of Supervised Linear Combinations -- 4.5 Comparison with Other Techniques -- 5 Discussion and Conclusion -- References -- Prior-Based Hierarchical Segmentation Highlighting Structures of Interest -- 1 Introduction -- 2 Hierarchies and Partitions -- 2.1 Graph-Based Hierarchical Segmentation -- 2.2 Stochastic Watershed Hierarchies -- 3 Hierarchies Highlighthing Structures of Interest Using Prior Information -- 3.1 Hierarchy with Regionalized Fineness (HRF) -- 3.2 Methodology -- 3.3 Modulating the HRF Depending on the Couple of Regions Considered -- 4 Application Examples |
| Title | Mathematical Morphology and Its Applications to Signal and Image Processing |
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