Table of Contents: “...Discrete geometry and topology in imaging science.-  New results in image representation -- Segmentation, grouping, and reconstruction -- Medical image processing....”

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Table of Contents: “... 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...”

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Table of Contents: “... Geometry in Statistics -- Optimization on Matrix Manifolds -- Optimal Transport Theory -- Probability on Manifolds -- Divergence Geometry and Ancillarity -- Entropic Geometry -- Tensor-Valued Mathematical Morphology -- Machine/Manifold/Topology Learning...”

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Table of Contents: “... -- 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...”

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Table of Contents: “...A One Hour Trip in the World of Graphs, Looking at the Papers of the Last Ten Years -- A Unified Framework for Strengthening Topological Node Features and Its Application to Subgraph Isomorphism Detection -- On the Complexity of Submap Isomorphism...”

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Table of Contents: “... Part I: Geometry and Topology Digital Geometry, Combinatorics in Digital Spaces. Digital Curves and Surfaces On Finding Shortest Isothetic Path Inside a Digital Object -- Fast Slicing of Orthogonal Covers Using DCEL -- Fast Combinatorial Algorithm...”

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