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Full Description
This book constitutes the refereed proceedings of the 4th International Joint Conference on Discrete Geometry and Mathematical Morphology, DGMM 2025, held in Groningen, The Netherlands, during November 3-6, 2025.
The 37 full papers included in this book were carefully reviewed and selected from 52 submissions. They were organized in topical sections as follows: Discrete Geometry - Models, Transforms, and Visualization; Computational Aspects of Discrete Structures and Tilings; Discrete and Combinatorial Topology; Hierarchical and Graph-Based Models, Analysis and Segmentation; Algorithms; Morphological Filters, PDEs and Multivariate Morphology; Mathematical Morphology and Digital Geometry for Applications.
Contents
.- Discrete Geometry - Models, Transforms, and Visualization
.- An Analytical Definition of Discrete Circles in the Triangular Grid.
.- Geometry of Gauss digitized convex shapes.
.- Exact visibility on digitized shapes and application to saliency-aware normal estimation.
.- Convex and concave decomposition of digitized shapes using plane probing and visibility.
.- First Results on Locally Turn-Bounded Surfaces in the 3D Euclidean Space.
.- Computational Aspects of Discrete Structures and Tilings
.- How to peel fully convex digital sets.
.- Exact polyominoes and non-decomposability.
.- Tilepaint and Aquarium Puzzles in Periodic Grids.
.- Conversion of a Digital Object into a Finite Set of Balls: Complexity.
.- Discrete and Combinatorial Topology
.- The Mid-sphere Cousin of the Medial Axis Transform.
.- Subfield-Based 3D Curve-Thinning on (18,12) Pictures of the FCC Grid.
.- Characterization of the computed homology and cohomology bases.
.- Computing gradient vector fields with Morse sequences.
.- Hierarchical and Graph-Based Models, Analysis and Segmentation
.- Designing Connected Filters using the Topological Tree of Shapes.
.- Efficient Connected Alternating Sequential Filters Based on Component Trees.
.- Spectrogram denoising by filtering max-trees.
.- On the constrained maximization of influence over a directed tree structure.
,- Discrete Spiral and Max-Link, Complementary Tools for Vision.
.- Numerical Implementation of Variational Morphological Operators on Graphs.
.- Algorithms
.- Shape Filtering and Max-tree Attribute Computation on a GPU.
.- On the properties of a class of greedy algorithms for multicriteria optimization.
.- The Tree of Shapes as a distance transform: building the ToS on High-Dynamic Range images.
.- A linear time algorithm for local minimum and maximum filters.
.- Waterfall-Bor˚uvka based algorithm for binary partition tree.
.- Learning Based Morphology
.- Improving Morphological Networks for Learning Image-to-Image Transforms.
.- A mathematical morphology view of the universal representation of scattering networks.
.- Learning Morphological Representations of Image Transformations: Influence of Initialization and Layer Differentiability.
.- Morphological Filters, PDEs and Multivariate Morphology
.- Morphological PDEs with Rotationally Invariant Space-Fractional Derivatives.
.- On the representation of stack operators by mathematical morphology.
.- Morphological Leveling based on the Log-Exp-Supremum for Colour Images.
.- Approximating Condorcet Ordering for Vector-valued Mathematical Morphology.
.- Mathematical Morphology and Digital Geometry for Applications
.- Microscopic Image Reconstruction under Convexity Constraints.
.- Efficient Content-Based Time Series Retrieval using Pattern Spectra.
.- Morphological Granulometric Analysis of Particle Imagery from Microgravity Experiments.
.- Formalizing an Iterated Morphological Erosion for the Discovery of Musical Patterns and Their Variations.
.- Digital plane detection in a point set: application to the interactive extraction of charcoal platforms from airborne LiDAR.
