Combinatorial Image Analysis

Prof. Dr. Konrad Polthier ist Professor für Mathematik an der Freien Universität Berlin und am DFG-Forschungszentrum MATHEON. Er hat mehrere Fachbücher zur mathematischen Visualisierung und unterhaltsame Videos zur Mathematik veröffentlicht.

Combinatorics and Counting.- Topological Map: An Efficient Tool to Compute Incrementally Topological Features on 3D Images.- Counting Gaps in Binary Pictures.- The Exact Lattice Width of Planar Sets and Minimal Arithmetical Thickness.- Thinning and Watersheds.- Branch Voxels and Junctions in 3D Skeletons.- New 2D Parallel Thinning Algorithms Based on Critical Kernels.- Grayscale Watersheds on Perfect Fusion Graphs.- Distances.- Matching of the Multi-channel Images with Improved Nonparametric Transformations and Weighted Binary Distance Measures.- Approximating Euclidean Distance Using Distances Based on Neighbourhood Sequences in Non-standard Three-Dimensional Grids.- Fuzzy Distance Based Hierarchical Clustering Calculated Using the A??? Algorithm.- Image Representation and Segmentation.- A New Sub-pixel Map for Image Analysis.- Feature Based Defuzzification at Increased Spatial Resolution.- Extended Mumford-Shah Regularization in Bayesian Estimation for Blind Image Deconvolution and Segmentation.- Invited Paper.- Polygonal Approximation of Point Sets.- Approximations I.- Linear Discrete Line Recognition and Reconstruction Based on a Generalized Preimage.- Digital Line Recognition, Convex Hull, Thickness, a Unified and Logarithmic Technique.- Incremental and Transitive Discrete Rotations.- Digital Topology.- Discrete Homotopy of a Closed k-Surface.- Topology Preserving Digitization with FCC and BCC Grids.- On the Notion of Dimension in Digital Spaces.- Shape and Matching.- Size and Shape Measure of Particles by Image Analysis.- A Comparison of Shape Matching Methods for Contour Based Pose Estimation.- Relevance Criteria for Data Mining Using Error-Tolerant Graph Matching.- Invited Paper.- Computational Aspects of Digital Plane and Hyperplane Recognition.-Approximations II.- A Linear Algorithm for Polygonal Representations of Digital Sets.- The Monogenic Curvature Scale-Space.- Combinatorics and Grammars.- Combinatorial Properties of Scale Space Singular Points.- Additive Subsets.- Cooperating Basic Puzzle Grammar Systems.- Tomography.- Quasi-isometric and Quasi-conformal Development of Triangulated Surfaces for Computerized Tomography.- Binary Tomography with Deblurring.- A Neural Network Approach to Real-Time Discrete Tomography.- Poster Session.- A Novel Automated Hand-Based Personal Identification.- Shortest Paths in a Cuboidal World.- Surface Registration Markers from Range Scan Data.- Two-Dimensional Discrete Shape Matching and Recognition.- Hierarchical Tree of Image Derived by Diffusion Filtering.- Object Tracking Using Genetic Evolution Based Kernel Particle Filter.- An Efficient Reconstruction of 2D-Tiling with t 1,2, t 2,1, t 1,1 Tiles.