Discrete Geometry and Mathematical Morphology [electronic resource] : Second International Joint Conference, DGMM 2022, Strasbourg, France, October 24–27, 2022, Proceedings /

Invited papers -- Reflections on a Scientific Career and its Possible Legacy -- Hybrid Artificial Intelligence for Knowledge Representation and Model-based Medical Image Understanding - Towards Explainability -- Digital Geometry, Mathematical Morphology, and Discrete Optimization: a survey -- Discrete and combinatorial topology -- Gradient Vector Fields of Discrete Morse Functions and Watershed-cuts -- Towards topological analysis of non-symmetric tensor fields via complexification -- A Heuristic for Short Homology Basis of Digital Objects -- Completions and ramifications -- Algorithms for pixelwise shape deformations preserving digital convexity -- Full convexity for polyhedral models in digital spaces -- Implicit Encoding and Simplification/Reduction of nGmaps -- Topological analysis of simple segmentation maps -- Discrete tomography and inverse problems -- On the Decomposability of Homogeneous Binary Planar Configurations with respect to a given Exact Polyomino -- Properties of SAT formulas characterizing convex sets with given projections -- Multivariate and PDE-based mathematical morphology, morphological filtering -- Morphological counterpart of Ornstein-Uhlenbeck semigroups and PDEs -- A novel approach for computation of morphological operations using the number theoretic transform -- Equivariance-Based Analysis of PDE Evolutions Related to Multivariate Medians -- Differential Oriented Image Foresting Transform Segmentation by Seed Competition -- Hierarchical and Graph-Based Models, Analysis and Segmentation -- A Topological Tree of Shapes -- Component-Tree Simplification through Fast Alpha Cuts -- Approximation of Digital Surfaces by a Hierarchical Set of Planar Patches -- Component Tree Loss Function: Definition and Optimization -- Fast and Effective Superpixel Segmentation using Accurate Saliency Estimation -- Join, select, and insert: efficient out-of-core algorithms for hierarchical segmentation trees -- Graph-Based Image Segmentation With Shape Priors and Band Constraints -- Discrete geometry - models, transforms, and visualization -- Tangential cover for 3D irregular noisy digital curves -- A Curious Invariance Property of Certain Perfect Legendre Arrays: Stirring Without Mixing -- A Simple Discrete Calculus for Digital Surfaces -- Distance-Driven Curve-Thinning on the Face-Centered Cubic Grid -- A new lattice-based plane-probing algorithm -- Exact and Optimal Conversion of a Hole-free 2D Digital Object into a Union of Balls in Polynomial Time -- Density functions of periodic sequences -- Learning based morphology to Mathematical Morphology -- Morphological adjunctions represented by matrices in max-plus algebra for signal and image processing -- MorphoActivations: Generalizing ReLU activations by mathematical morphology -- Logarithmic Morphological Neural Nets robust to lighting variations -- Distance transform -- Introduction to Discrete Soft Transforms -- On the Validity of the Two Raster Sequences Distance TransformAlgorithm.

This book constitutes the proceedings of the Second IAPR International Conference on Discrete Geometry and Mathematical Morphology, DGMM 2022, which was held during October 24-27, 2022, in Strasbourg, France. The 33 papers included in this volume were carefully reviewed and selected from 45 submissions. They were organized in topical sections as follows: discrete and combinatorial topology; discrete tomography and inverse problems; multivariate and PDE-based mathematical morphology, morphological filtering; hierarchical and Graph-Based Models, Analysis and Segmentation; discrete geometry - models, transforms, and visualization; learning based morphology to Mathematical Morphology; and distance transform. The book also contains 3 invited keynote papers.