Discrete Geometry for Computer Imagery

Table of Contents

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   Book Overview
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   Chapter 1 Digital Geometry Processing with Topological Guarantees
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   Chapter 2 What Can We Learn from Discrete Images about the Continuous World?
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   Chapter 3 Weak Rational Computing for Digital Geometry
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   Chapter 4 A First Look into a Formal and Constructive Approach for Discrete Geometry Using Nonstandard Analysis
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   Chapter 5 Generation and Recognition of Digital Planes Using Multi-dimensional Continued Fractions
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   Chapter 6 About the Frequencies of Some Patterns in Digital Planes Application to Area Estimators
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   Chapter 7 Combinatorial View of Digital Convexity
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   Chapter 8 Decomposition and Construction of Neighbourhood Operations Using Linear Algebra
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    Chapter 9 Digitally Continuous Multivalued Functions
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    Chapter 10 Continued Fractions and Digital Lines with Irrational Slopes
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    Chapter 11 New Characterizations of Simple Points, Minimal Non-simple Sets and P-Simple Points in 2D, 3D and 4D Discrete Spaces
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    Chapter 12 Cancellation of Critical Points in 2D and 3D Morse and Morse-Smale Complexes
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    Chapter 13 Characterizing and Detecting Toric Loops in n-Dimensional Discrete Toric Spaces
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    Chapter 14 Insertion and Expansion Operations for n -Dimensional Generalized Maps
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    Chapter 15 Discrete Complex Structure on Surfel Surfaces
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    Chapter 16 Minimal Simple Pairs in the Cubic Grid
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    Chapter 17 Determining Whether a Simplicial 3-Complex Collapses to a 1-Complex Is NP-Complete
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    Chapter 18 Medial Axis LUT Computation for Chamfer Norms Using $\mathcal{H}$ -Polytopes
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    Chapter 19 Weighted Neighbourhood Sequences in Non-Standard Three-Dimensional Grids – Metricity and Algorithms
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    Chapter 20 Euclidean Eccentricity Transform by Discrete Arc Paving
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    Chapter 21 Statistical Template Matching under Geometric Transformations
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    Chapter 22 Distance Transformation on Two-Dimensional Irregular Isothetic Grids
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    Chapter 23 Self-similar Discrete Rotation Configurations and Interlaced Sturmian Words
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    Chapter 24 Segmenting Simplified Surface Skeletons
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    Chapter 25 Geometric Feature Estimators for Noisy Discrete Surfaces
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    Chapter 26 Normals and Curvature Estimation for Digital Surfaces Based on Convolutions
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    Chapter 27 On Minimal Moment of Inertia Polyominoes
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    Chapter 28 Gift-Wrapping Based Preimage Computation Algorithm
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    Chapter 29 Digital Planar Surface Segmentation Using Local Geometric Patterns
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    Chapter 30 Robust Estimation of Curvature along Digital Contours with Global Optimization
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    Chapter 31 An Efficient and Quasi Linear Worst-Case Time Algorithm for Digital Plane Recognition
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    Chapter 32 Tangential Cover for Thick Digital Curves
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    Chapter 33 Binomial Convolutions and Derivatives Estimation from Noisy Discretizations
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    Chapter 34 Selection of Local Thresholds for Tomogram Segmentation by Projection Distance Minimization
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    Chapter 35 Reconstructing Binary Matrices with Neighborhood Constraints: An NP-hard Problem
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    Chapter 36 An Exact, Non-iterative Mojette Inversion Technique Utilising Ghosts
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    Chapter 37 Approximating hv-Convex Binary Matrices and Images from Discrete Projections
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    Chapter 38 Advances in Constrained Connectivity
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    Chapter 39 On Watershed Cuts and Thinnings
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    Chapter 40 A New Fuzzy Connectivity Class Application to Structural Recognition in Images
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    Chapter 41 Directional Structures Detection Based on Morphological Line-Segment and Orientation Functions
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    Chapter 42 Predicting Corresponding Region in a Third View Using Discrete Epipolar Lines
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    Chapter 43 A Discrete Modelling of Soil Fragments Transport by Runoff
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    Chapter 44 Optimal Difference Operator Selection
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    Chapter 45 First Results for 3D Image Segmentation with Topological Map
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    Chapter 46 Adaptive Morphological Filtering Using Similarities Based on Geodesic Time
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    Chapter 47 Book Scanner Dewarping with Weak 3d Measurements and a Simplified Surface Model
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    Chapter 48 3D Image Topological Structuring with an Oriented Boundary Graph for Split and Merge Segmentation