Discrete Geometry for Computer Imagery, 1st ed. 2019
21st IAPR International Conference, DGCI 2019, Marne-la-Vallée, France, March 26-28, 2019, Proceedings
Image Processing, Computer Vision, Pattern Recognition, and Graphics Series

This book constitutes the thoroughly refereed proceedings of the 21st IAPR International Conference on Discrete Geometry for Computer Imagery, DGCI 2019, held in Marne-la-Vallée, France, in March 2019.

The 38 full papers were carefully selected from 50 submissions. The papers are organized in topical sections on discrete geometric models and transforms; discrete topology; graph-based models, analysis and segmentation; mathematical morphology; shape representation, recognition and analysis; and geometric computation.

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 in Degraded Document Images.- A Spatial Convexity Descriptor for Object Enlacement.- The Propagating Skeleton: A Robust Detail-preserving Approach.- Non-Centered Voronoi Skeletons.- Dual Approaches for Elliptic Hough Transform: Eccentricity/Orientation vs Center based.- Digital Plane Recognition with Fewer Probes.- Geometric Computation.- Convex and Concave Vertices on a Simple Closed Curve in the Triangular Grid.- Efficient Algorithms to Test Digital Convexity.- Compact Packings of the Plane with Three Sizes of Discs.- Convex Aggregation Problems in ℤ².- Polygon Approximations of the Euclidean Circles on the Square Grid by Broadcasting Sequences.- Unfolding Level 1 Menger Polycubes of Arbitrary Size with Help of Outer Faces.- A Discrete Bisector Function Based on Annulus.- Average Curve of n Digital Curves.