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.
Inhaltsverzeichnis
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.
