Discrete Geometry for Computer Imagery

Table of Contents

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   Book Overview
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   Chapter 1 Optimal Covering of a Straight Line Applied to Discrete Convexity
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   Chapter 2 On Dimension Partitions in Discrete Metric Spaces
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   Chapter 3 Walking in the Farey Fan to Compute the Characteristics of a Discrete Straight Line Subsegment
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   Chapter 4 Persistent Patterns in Integer Discrete Circles
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   Chapter 5 Comparison of Point Clouds Acquired by 3D Scanner
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   Chapter 6 Generalized Simple Surface Points
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   Chapter 7 A Parallel Thinning Algorithm for Grayscale Images
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   Chapter 8 New Structures Based on Completions
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    Chapter 9 Asymptotic Analysis and Random Sampling of Digitally Convex Polyominoes
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    Chapter 10 Critical Connectedness of Thin Arithmetical Discrete Planes
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    Chapter 11 A 3D Curvilinear Skeletonization Algorithm with Application to Path Tracing
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    Chapter 12 From the Zones of Influence of Skeleton Branch Points to Meaningful Object Parts
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    Chapter 13 Merging Faces: A New Orthogonal Simplification of Solid Models
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    Chapter 14 Sufficient Conditions for Topological Invariance of 2D Images under Rigid Transformations
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    Chapter 15 Digital Distances and Integer Sequences
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    Chapter 16 The Persistence Space in Multidimensional Persistent Homology
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    Chapter 17 A Study of Monodromy in the Computation of Multidimensional Persistence
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    Chapter 18 Skeleton Extraction of Vertex Sets Lying on Arbitrary Triangulated 3D Meshes
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    Chapter 19 Integral Based Curvature Estimators in Digital Geometry
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    Chapter 20 A Fast Algorithm for Liver Surgery Planning
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    Chapter 21 O(n 3logn) Time Complexity for the Optimal Consensus Set Computation for 4-Connected Digital Circles
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    Chapter 22 Efficient Robust Digital Annulus Fitting with Bounded Error
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    Chapter 23 Arc Recognition on Irregular Isothetic Grids and Its Application to Reconstruction of Noisy Digital Contours
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    Chapter 24 Reconstruction of Quantitative Properties from X-Rays
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    Chapter 25 On the Non-additive Sets of Uniqueness in a Finite Grid
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    Chapter 26 On the Degree Sequences of Uniform Hypergraphs
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    Chapter 27 How to Decompose a Binary Matrix into Three hv-convex Polyominoes
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    Chapter 28 Multi-resolution Cell Complexes Based on Homology-Preserving Euler Operators
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    Chapter 29 Convergence of Level-Wise Convolution Differential Estimators
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    Chapter 30 Concurrency Relations between Digital Planes
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    Chapter 31 Scale Filtered Euclidean Medial Axis
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    Chapter 32 A Method for Feature Detection in Binary Tomography
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    Chapter 33 Knot Segmentation in Noisy 3D Images of Wood
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    Chapter 34 Multigrid Convergent Curvature Estimator