Discrete Geometry for Computer Imagery

Invited Papers.- Digital Geometry Processing with Topological Guarantees.- What Can We Learn from Discrete Images about the Continuous World?.- Weak Rational Computing for Digital Geometry.- Models for Distance Geometry.- A First Look into a Formal and Constructive Approach for Discrete Geometry Using Nonstandard Analysis.- Generation and Recognition of Digital Planes Using Multi-dimensional Continued Fractions.- About the Frequencies of Some Patterns in Digital Planes Application to Area Estimators.- Combinatorial View of Digital Convexity.- Decomposition and Construction of Neighbourhood Operations Using Linear Algebra.- Digitally Continuous Multivalued Functions.- Continued Fractions and Digital Lines with Irrational Slopes.- Discrete and Combinational Topology.- New Characterizations of Simple Points, Minimal Non-simple Sets and P-Simple Points in 2D, 3D and 4D Discrete Spaces.- Cancellation of Critical Points in 2D and 3D Morse and Morse-Smale Complexes.- Characterizing and Detecting Toric Loops in n-Dimensional Discrete Toric Spaces.- Insertion and Expansion Operations for n-Dimensional Generalized Maps.- Discrete Complex Structure on Surfel Surfaces.- Minimal Simple Pairs in the Cubic Grid.- Determining Whether a Simplicial 3-Complex Collapses to a 1-Complex Is NP-Complete.- Geometric Transforms.- Medial Axis LUT Computation for Chamfer Norms Using -Polytopes.- Weighted Neighbourhood Sequences in Non-Standard Three-Dimensional Grids – Metricity and Algorithms.- Euclidean Eccentricity Transform by Discrete Arc Paving.- Statistical Template Matching under Geometric Transformations.- Distance Transformation on Two-Dimensional Irregular Isothetic Grids.- Self-similar Discrete Rotation Configurations and Interlaced Sturmian Words.- Segmenting Simplified Surface Skeletons.- Discrete Shape Representation, Recognition and Analysis.- Geometric Feature Estimators for Noisy Discrete Surfaces.- Normals and Curvature Estimation for Digital Surfaces Based on Convolutions.- On Minimal Moment of Inertia Polyominoes.- Gift-Wrapping Based Preimage Computation Algorithm.- Digital Planar Surface Segmentation Using Local Geometric Patterns.- Robust Estimation of Curvature along Digital Contours with Global Optimization.- An Efficient and Quasi Linear Worst-Case Time Algorithm for Digital Plane Recognition.- Tangential Cover for Thick Digital Curves.- Binomial Convolutions and Derivatives Estimation from Noisy Discretizations.- Discrete Tomography.- Selection of Local Thresholds for Tomogram Segmentation by Projection Distance Minimization.- Reconstructing Binary Matrices with Neighborhood Constraints: An NP-hard Problem.- An Exact, Non-iterative Mojette Inversion Technique Utilising Ghosts.- Approximating hv-Convex Binary Matrices and Images from Discrete Projections.- Morphological Analysis.- Advances in Constrained Connectivity.- On Watershed Cuts and Thinnings.- A New Fuzzy Connectivity Class Application to Structural Recognition in Images.- Directional Structures Detection Based on Morphological Line-Segment and Orientation Functions.- Discrete Modelling and Visualization.- Predicting Corresponding Region in a Third View Using Discrete Epipolar Lines.- A Discrete Modelling of Soil Fragments Transport by Runoff.- Discrete and Combinational Tools for Image Segmentation and Analysis.- Optimal Difference Operator Selection.- First Results for 3D Image Segmentation with Topological Map.- Adaptive Morphological Filtering Using Similarities Based on Geodesic Time.- Book Scanner Dewarping with Weak 3d Measurements and a Simplified Surface Model.- 3D Image Topological Structuring with an Oriented Boundary Graph for Split and Merge Segmentation.