Discrete Geometry and Mathematical Morphology

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