Description |
1 online resource (xix, 433 pages) : illustrations |
Series |
Lecture notes in computer science, 1611-3349 ; 14605 |
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Lecture notes in computer science ; 14605. 1611-3349
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Contents |
Digital Geometry - Models, Transforms, and Visualization. -- Bijectivity analysis of finite rotations on Z 2 A hierarchical approach. -- Recognition of arithmetic line segments and hyperplanes using the Stern-Brocot tree. -- Bijective Digitized 3D Rotation Based on Beam Shears -- -- New characterizations of full convexity -- Decomposition of Rational Discrete Planes. -- Differential Maximum Euclidean Distance Transform Computation in Component Trees . -- Construction of Fast and Accurate 2D Bijective Rigid Transformation . -- Digital Calculus Frameworks and Comparative Evaluation of their Laplace-Beltrami operators . -- Fitting egg-shapes to discretized object boundaries . -- Computational Aspects of Discrete Structures and Tilings. -- Construction of Tilings with Transitivity Properties on the Square Grid . -- Some geometric and tomographic results on gray-scale images . -- A Khalimsky-like Topology on the Triangular Grid . -- Learning Based Morphology. -- Group Equivariant Networks Using Morphological Operators. -- An Algorithm to Train Unrestricted Sequential Discrete Morphological Neural Networks . -- Discovering Repeated Patterns From the Onsets in a Multidimensional Representation of Music . -- The Lattice Overparametrization Paradigm for the Machine Learning of Lattice Operators . -- Convex Optimization for Binary Tree-Based Transport Networks . -- Training morphological neural networks with gradient descent: some theoretical insights. -- HaarNet: Large-scale Linear-Morphological Hybrid Network for RGB-D Semantic Segmentation . -- Nonlinear representation theory of equivariant CNNs on homogeneous spaces using group morphology . -- Hierarchical and Graph-Based Models, Analysis and Segmentation. -- Building the Topological Tree of Shapes from the Tree of Shapes. -- End-to-end Ultrametric Learning for Hierarchical Segmentation . -- Out-of-core Attribute Algorithms for Binary Partition Hierarchies . -- Multi Scale Component Tree: A Hierarchical Representation for Sparse Objects . -- An Approach to Colour Morphological Supremum Formation using the LogSumExp Approximation . -- Image Segmentation by Hierarchical Layered Oriented Image Foresting Transform Subject to Closeness Constraints . -- Discrete and Combinatorial Topology. -- Elastic Analysis of Augmented Curves and Constrained Surfaces . -- Morse Frames -- Morse Sequences. -- 1Attempt and Equivalent Thinning on the Hexagonal Grid. -- A survey on 2D Euclidean curve classes in discrete geometry with new results. -- Mathematical Morphology and Digital Geometry for applications. -- Counting melanocytes with trainable h-maxima and connected component layers. -- Mathematical Morphology Applied to Feature Extraction in Music Spectrograms. -- A Discrete Geometry Method for Atom Depth Computation in Complex Molecular Systems |
Summary |
This book constitutes the refereed proceedings of the Third International Joint Conference on Discrete Geometry and Mathematical Morphology, DGMM 2024, held in Florence, Italy during April 15-18, 2024. The 34 full papers included in this book were carefully reviewed and selected from 51 submissions. They were organized in topical sections as follows: Digital Geometry - Models, Transforms, and Visualization; Computational Aspects of Discrete Structures and Tilings; Learning Based Morphology; Hierarchical and Graph-Based Models, Analysis and Segmentation; Discrete and Combinatorial Topology; and Mathematical Morphology and Digital Geometry for Applications |
Notes |
Includes author index |
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Online resource; title from PDF title page (SpringerLink, viewed April 17, 2024) |
Subject |
Discrete geometry -- Congresses
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Combinatorial geometry -- Congresses
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Form |
Electronic book
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Author |
Brunetti, Sara, editor
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Frosini, Andrea, editor
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Rinaldi, Simone, editor
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ISBN |
9783031577932 |
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3031577930 |
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