Mathematical Morphology and Its Applications to Signal and Image Processing : 13th International Symposium, ISMM 2017, Fontainebleau, France, May 1517, 2017, proceedings /: 13th International Symposium, ISMM 2017, Fontainebleau, France, May 1517, 2017, proceedings. ([2017])

• Record Type: Book
• Further Information: Note: Edited by Jess︢ Angulo, Santiago VelascoForero, Fernand Meyer.
• Editors: VelascoForero, Santiago; Meyer, Fernand; Angulo, Jess︢
• Other Names: International Symposium on Mathematical Morphology and its Applications to Image and Signal Processing, 13th
• Contents: 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 Introduction2 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 Operators3.3 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 Sets7 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 Meet4.3 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
• Publisher Details: Cham : Springer
• Publication Date: 2017
• Extent: 1 online resource (xiv, 500 pages), illustrations
• Subjects: 006.4/2; Computer science; Signal processing -- Mathematics -- Congresses; Image processing -- Mathematics -- Congresses; Image processing -- Mathematics; Signal processing -- Mathematics; Computers -- Data Processing; Computers -- Programming -- Algorithms; Computers -- Data Modeling & Design; Computers -- Intelligence (AI) & Semantics; Maths for computer scientists; Discrete mathematics; Algorithms & data structures; Artificial intelligence; Computer vision; Computational complexity; Computer software; Data structures (Computer science); Artificial intelligence; Computers -- Computer Graphics; Image processing; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319572390; 3319572393; 9783319572406; 3319572407
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