Discrete Geometry and Mathematical Morphology

Invited papers.- Some Open Questions on Morphological Operators and Representations in the Deep Learning Era.- Split Trees -A Unifying Model For Many Important Random Trees Of Logarithmic Height: A Brief Survey.- On topological analysis of cells organization in biological images.- Applications in Image Processing, Computer Vision, and Pattern Recognition.- A New Matching Algorithm between Trees of Shapes and its Application to Brain Tumor Segmentation.- Combining Deep Learning and Mathematical Morphology for Historical Map Segmentation.- Automatic forest road extraction from LiDAR data of mountainous areas.- Fast Pattern Spectra using Tree Representation of the Image for Patch Retrieval.- Watershed-based attribute profiles for pixel classification of remote sensing data.- Discrete and Combinatorial Topology.- Completions, perforations and fillings.- Body Centered Cubic Grid --- Coordinate System and Discrete Analytical Plane Definition.- Digital convex + unimodular mapping = almost 4-connected.- Distance-Oriented Surface Skeletonization on the Face-Centered Cubic Grid.- Homotopic Digital Rigid Motion: An Optimization Approach on Cellular Complexes.- Locally turn-bounded curves are quasi-regular.- Discrete Geometry - Models, Transforms, Visualization.-Shear based Bijective Digital Rotation in Hexagonal Grids.- An isometry classification of periodic point sets.- Visiting bijective digitized reflections and rotations using geometric algebra.- Digital Straight Segment Filter for Geometric Description.- An alternative definition for digital convexity.- Digital geometry for the dual of some semi-regular tessellations.- Discrete Tomography and Inverse Problems.- On the geometric aspects of the class of hv-convex switching components.- Properties of unique degree sequences of 3-uniform hypergraphs.- Power sum polynomials in a discrete tomography perspective.-On the reconstruction of 3-uniform hypergraphsfrom step-two degree sequences.-Hierarchical and Graph-based Models, Analysis and Segmentation.- Towards Interactive Image Segmentation by Dynamic and Iterative Spanning Forest.- Stability of the tree of shapes to additive noise.- An algebraic framework for out-of-core hierarchical segmentation algorithms.-Fuzzy-marker-based segmentation using hierarchies.-Graph-based Supervoxel Computation from Iterative Spanning Forest.- Graph-based M-tortuosity estimation.- A maximum-flow model for digital elastica shape optimization.- Image Segmentation by Relaxed Deep Extreme Cut with Connected Extreme Points.- Learning-based Approaches to Mathematical Morphology.- On some associations between mathematical morphology and artificial intelligence.- Going beyond p-convolutions to learn grayscale morphological operators.- Scale Equivariant Neural Networks with Morphological Scale-Spaces.- Multivariate and PDE-based Mathematical morphology, Morphological Filtering.- Eigenfunctions of Ultrametric Morphological Openings and Closings.- Measuring the Irregularity of Vector-valued Morphological Operators using Wasserstein Metric.- An Equivalence Relation between Morphological Dynamics and Persistent Homology in n-D.- Sparse Approximate Solutions to Max-Plus Equations.