- Digital Geometry - Models, Transforms, and Visualization.- Bijectivity analysis of finite rotations on Z 2 A hierarchical approach.- Recognition of arithmetic line segments and hyperplanes using the Stern-Brocot tree.- Bijective Digitized 3D Rotation Based on Beam Shears.- .- New characterizations of full convexity.- Decomposition of Rational Discrete Planes.- Differential Maximum Euclidean Distance Transform Computation in Component Trees.
- Construction of Fast and Accurate 2D Bijective Rigid Transformation.- Digital Calculus Frameworks and Comparative Evaluation of their Laplace-Beltrami operators.- Fitting egg-shapes to discretized object boundaries.- Computational Aspects of Discrete Structures and Tilings.- Construction of Tilings with Transitivity Properties on the Square Grid.- Some geometric and tomographic results on gray-scale images.- A Khalimsky-like Topology on the Triangular Grid.- Learning Based Morphology.
- Group Equivariant Networks Using Morphological Operators.- An Algorithm to Train Unrestricted Sequential Discrete Morphological Neural Networks.- Discovering Repeated Patterns From the Onsets in a Multidimensional Representation of Music.- The Lattice Overparametrization Paradigm for the Machine Learning of Lattice Operators.- Convex Optimization for Binary Tree-Based Transport Networks.- Training morphological neural networks with gradient descent: some theoretical insights.- HaarNet: Large-scale Linear-Morphological Hybrid Network for RGB-D Semantic Segmentation.- Nonlinear representation theory of equivariant CNNs on homogeneous spaces using group morphology.
- Hierarchical and Graph-Based Models, Analysis and Segmentation.- Building the Topological Tree of Shapes from the Tree of Shapes.- End-to-end Ultrametric Learning for Hierarchical Segmentation.- Out-of-core Attribute Algorithms for Binary Partition Hierarchies.- Multi Scale Component Tree: A Hierarchical Representation for Sparse Objects.- An Approach to Colour Morphological Supremum Formation using the LogSumExp Approximation.- Image Segmentation by Hierarchical Layered Oriented Image Foresting Transform Subject to Closeness Constraints.- Discrete and Combinatorial Topology.
- Elastic Analysis of Augmented Curves and Constrained Surfaces.- Morse Frames.- Morse Sequences.- 1Attempt and Equivalent Thinning on the Hexagonal Grid.- A survey on 2D Euclidean curve classes in discrete geometry with new results.- Mathematical Morphology and Digital Geometry for applications.- Counting melanocytes with trainable h-maxima and connected component layers.- Mathematical Morphology Applied to Feature Extraction in Music Spectrograms.
- A Discrete Geometry Method for Atom Depth Computation in Complex Molecular Systems.