Discrete Geometry for Computer Imagery

Topology.- Abstraction Pyramids on Discrete Representations.- XPMaps and Topological Segmentation - A Unified Approach to Finite Topologies in the Plane.- Curves in ?n.- Separation Theorems for Simplicity 26-Surfaces.- Topological Quadrangulations of Closed Triangulated Surfaces Using the Reeb Graph.- Non-manifold Decomposition in Arbitrary Dimensions.- Combinatorial Image Analysis.- 4D Minimal Non-simple Sets.- Receptive Fields within the Combinatorial Pyramid Framework.- A New 3D 6-Subiteration Thinning Algorithm Based on P-Simple Points.- Monotonic Tree.- Displaying Image Neighborhood Hypergraphs Line-Graphs.- The Reconstruction of a Bicolored Domino Tiling from Two Projections.- Morphological Analysis.- Digital Geometry for Image-Based Metrology.- Topological Reconstruction of Occluded Objects in Video Sequences.- On the Strong Property of Connected Open-Close and Close-Open Filters.- Advances in the Analysis of Topographic Features on Discrete Images.- Morphological Operations inRecursive Neighbourhoods.- Shape Representation.- Computing the Diameter of a Point Set.- Shape Representation Using Trihedral Mesh Projections.- Topological Map Based Algorithms for 3D Image Segmentation.- On Characterization of Discrete Triangles by Discrete Moments.- Weighted Distance Transforms for Images Using Elongated Voxel Grids.- Robust Normalization of Shapes.- Surface Area Estimation of Digitized 3D Objects Using Local Computations.- Models for Discrete Geometry.- An Abstract Theoretical Foundation of the Geometry of Digital Spaces.- Concurrency of Line Segments in Uncertain Geometry.- Discretization in 2D and 3D Orders.- Defining Discrete Objects for Polygonalization: The Standard Model.- Visibility in Discrete Geometry: An Application to Discrete Geodesic Paths.- Multi-scale Discrete Surfaces.- Invertible Minkowski Sum of Polygons.- Segmentation and Shape Recognition.- Thinning Grayscale Well-Composed Images: A New Approach for Topological Coherent Image Segmentation.- AnIncremental Linear Time Algorithm for Digital Line and Plane Recognition Using a Linear Incremental Feasibility Problem.- Reconstruction of Animated Models from Images Using Constrained Deformable Surfaces.- Reconstruction of Binary Matrices from Absorbed Projections.- A Simplified Recognition Algorithm of Digital Planes Pieces.- Applications.- Ridgelet Transform Based on Reveillès Discrete Lines.- A Discrete Radiosity Method.

Includes supplementary material: sn.pub/extras