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 Merging and Watersheds.- Revisiting Digital Straight Segment Recognition.- On Discrete Moments of Unbounded Order.- Feature Based Defuzzification in ?2 and ?3 Using a Scale Space Approach.- Improving Difference Operators by Local Feature Detection.- Shape Representation.- An Optimal Algorithm for Detecting Pseudo-squares.- Optimization Schemes for the Reversible Discrete Volume Polyhedrization Using Marching Cubes Simplification.- Arithmetic Discrete Hyperspheres and Separatingness.- The Eccentricity Transform (of a Digital Shape).- Projected Area Based 3D Shape Similarity Evaluation.- Continuous Level of Detail on Graphics Hardware.- Topological and Geometrical Reconstruction of Complex Objects on Irregular Isothetic Grids.- Fast Polynomial Segmentation of Digitized Curves.- Segmentation.- Fuzzy Segmentation of Color Video Shots.- Application of Surface Topological Segmentation to Seismic Imaging.- Watershed Segmentation with Chamfer Metric.- Generalized Map Pyramid for Multi-level 3D Image Segmentation.- Topologically Correct Image Segmentation Using Alpha Shapes.- Skeletonization.- New Removal Operators for Surface Skeletonization.- Skeleton Pruning by Contour Partitioning.- A New 3D Parallel Thinning Scheme Based on Critical Kernels.- Order Independence in Binary 2D Homotopic Thinning.- Exact Euclidean Medial Axis in Higher Resolution.- Skeletonization and Distance Transforms of 3D Volumes Using Graphics Hardware.- Surfaces and Volumes.- How to Tile by Dominoes the Boundary of a Polycube.- A Generalized Preimage for the Standard and Supercover Digital Hyperplane Recognition.- Distance Transforms on Anisotropic Surfaces for Surface Roughness Measurement.- A 3D Live-Wire Segmentation Method for Volume Images Using Haptic Interaction.- Minimal Decomposition of a Digital Surface into Digital Plane Segments Is NP-Hard.- Erratum.- Topological and Geometrical Reconstruction of Complex Objects on Irregular Isothetic Grids.