Discrete Geometry for Computer Imagery

Discrete Geometry.- Duality and Geometry Straightness, Characterization and Envelope.- On Minimal Perimeter Polyminoes.- A Generic Approach for n-Dimensional Digital Lines.- Two Discrete-Euclidean Operations Based on the Scaling Transform.- Geometry of Neighborhood Sequences in Hexagonal Grid.- Recognition of Blurred Pieces of Discrete Planes.- Discrete Tomography.- The Number of Line-Convex Directed Polyominoes Having the Same Orthogonal Projections.- A Network Flow Algorithm for Binary Image Reconstruction from Few Projections.- Fast Filling Operations Used in the Reconstruction of Convex Lattice Sets.- Reconstruction Algorithm and Switching Graph for Two-Projection Tomography with Prohibited Subregion.- A Geometry Driven Reconstruction Algorithm for the Mojette Transform.- Quantised Angular Momentum Vectors and Projection Angle Distributions for Discrete Radon Transformations.- A Benchmark Evaluation of Large-Scale Optimization Approaches to Binary Tomography.- Construction of Switching Components.- Discrete Topology.- Minimal Non-simple and Minimal Non-cosimple Sets in Binary Images on Cell Complexes.- Combinatorial Relations for Digital Pictures.- Reusing Integer Homology Information of Binary Digital Images.- On the Lattice Structure of Subsets of Octagonal Neighborhood Sequences in ?n.- On the Connectedness of Rational Arithmetic Discrete Hyperplanes.- Homology of Simploidal Set.- Measuring Intrinsic Volumes in Digital 3d Images.- Distance.- An Objective Comparison Between Gray Weighted Distance Transforms and Weighted Distance Transforms on Curved Spaces.- Chordal Axis on Weighted Distance Transforms.- Attention-Based Mesh Simplification Using Distance Transforms.- Generating Distance Maps with Neighbourhood Sequences.- Hierarchical Chamfer Matching Based on Propagation of Gradient Strengths.- Elliptical Distance Transforms and Applications.- Image Analysis.- A Composite and Quasi Linear Time Method for Digital Plane Recognition.- Fusion Graphs, Region