Discrete Geometry for Computer Imagery

Discrete Geometric Models and Transforms.- Digital Two-dimensional Bijective Reflection and Associated Rotation.- Digital Curvature Evolution Model for Image Segmentation.- Rhombic Dodecahedron Grid { Coordinate System and 3D Digital Object Definitions.- Facet Connectedness of Arithmetic Discrete Hyperplanes with Non Zero Shift.- Local Turn-boundedness: a Curvature Control for a Good Digitization.- Distance Transform based on Weight Sequences.- Stochastic Distance Transform.- Discrete Topology.- Filtration Simplification for Persistent Homology via Edge Contraction.- One More Step towards Well-composedness of Cell Complexes over nD Pictures.- On the Space between Critical Points.- Rigid Motions in the Cubic Grid: A Discussion on Topological Issues.- Graph-based Models, Analysis and Segmentation.- A New Entropy for Hypergraphs.- Graph-based Segmentation with Local Band Constraints.- A Study of Observation Scales based on Felzenswalb-Huttenlocher Dissimilarity Measure for Hierarchical Segmentation.- The Role of Optimum Connectivity in Image Segmentation: Can the algorithm learn object information during the process?.- On the Degree Sequence of 3-uniform Hypergraph: A New Sufficient Condition.- Optimization of Max-Norm Objective Functions in Image Processing and Computer Vision.- Common Object Discovery as Local Search for Maximum Weight Cliques in a Global Object Similarity Graph.- Reconstruction of the Crossing Type of a Point Set from the Compatible Exchange Graph of Noncrossing Spanning Trees.- Mathematical Morphology.- Vector-based Mathematical Morphology Operations on Polygons Using Straight Skeletons for Digital Pathology.- Morphological Networks for Image De-raining.- Minimal Component-Hypertrees.- Single Scan Granulometry Estimation from an Asymmetric Distance Map.- Recognizing Hierarchical Watersheds.- Shape Representation, Recognition and Analysis.- Straight Line Reconstruction for Fully Materialized Table Extraction