Discrete Geometry for Computer Imagery

Models for Discrete Geometry.- Facet Connectedness of Discrete Hyperplanes with Zero Intercept: the General Case.- About the Maximum Cardinality of the Digital Cover of a Curve with a Given Length.- Binary pictures with excluded patterns.- Discrete and Combinatorial Topology.- 2D Topological Map Isomorphism for Multi-Label Simple Transformation Definition.-Isthmus-based Parallel and Asymmetric 3D Thinning Scheme and Algorithms.- Completions and simple homotopy.- Geometric Transforms.- 2D Subquadratic Separable Distance Transformation for Path-Based Norms.- Anti-Aliased Euclidean Distance Transform on 3D Sampling Lattices.- Efficient neighbourhood computing for discrete rigid transformation graph Search.- The Minimum Barrier Distance – Stability to seed point position.- Discrete Shape Representation, Recognition and Analysis.- Efficient computation of the outer hull of a discrete path.- Voronoi-based geometry estimator for 3D digital surfaces.- Convex Hull of Digital Straight Segments.- Parameter-free and Multigrid Convergent Digital Curvature Estimators.- Freeman digitization and tangent word based estimators.- Determination of Length and Width of a Line-segment by using a Hough Transform.- Stable shape comparison of surfaces via Reeb graphs.- About multigrid convergence of some length estimators.- Discrete Tomography.- Non-additive bounded sets of uniqueness in Zn.- Back-Projection Filtration Inversion of Discrete Projections.- Discrete Tomography Reconstruction Algorithms for Images with a Blocking Component.- 2An Entropic Perturbation Approach to TV-Minimization for Limited-Data Tomography.- Fourier inversion of the Mojette transform.- Uniqueness regions under sets of generic projections in discrete tomography.- Adaptive refinement for discrete tomography.- Morphological Analysis.- Exact Evaluation of Stochastic Watersheds: From Trees to General Graphs.- On making nD images well-composed by a self-dual local interpolation.- Discrete Modelling and Visualization.- Implicit Digital Surfaces in Arbitrary Dimensions.- Algorithms for Fast Digital Straight Segments Union.- 29 Digital Geometry from a Geometric Algebra perspective.- Discrete and Combinatorial Tools for Image Segmentation and Analysis.- 39 Segmentation of 3D Articulated Components by Slice-based Vertex-weighted Reeb Graph.- Taylor Optimal Kernels for Derivative Estimation.- On Finding Spherical Geodesic Paths and Circles in Z3.- 43 Discrete Curve Evolution on Arbitrary Triangulated 3D Mesh.