Discrete Geometry for Computer Imagery

<p>Stable length estimates of tube-like shapes.- The Complexity of Discrete Objects.- Optimal covering of a straight line applied to discrete convexity.- On dimension partitions in discrete metric spaces.- Walking in the Farey fan to Compute the Characteristics of a Discrete Straight Line Subsegment.- Persistent patterns in integer discrete circles.- Comparison of Point Clouds Acquired by 3d Scanner.- Generalized Simple Surface Points.- A parallel thinning algorithm for grayscale images.- New structures based on completions.- Asymptotic Analysis and Random Sampling of Digitally Convex Polyominoes.- Extremal connectedness of thin arithmetical discrete planes.- From the zones of influence of skeleton branch points to meaningful object parts.- Sufficient conditions for topological invariance of 2D images under rigid transformations.- The persistence space in multidimensional persistent homology.- Skeleton extraction of vertex sets lying on arbitrary triangulated 3D meshes.- Arc recognition on irregular isothetic grids and its application to reconstruction of noisy digital contour.- Reconstruction of quantitative properties from X-rays.- How to decompose a binary matrix into three convex polyominoes.- A method for feature detection in binary tomography.</p>