Discrete Geometry for Computer Imagery

Table of Contents

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   Book Overview
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   Chapter 1 Arithmetic Discrete Planes Are Quasicrystals
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   Chapter 2 Affine Connections, and Midpoint Formation
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   Chapter 3 Mathematics in Atmospheric Sciences: An Overview
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   Chapter 4 On Three Constrained Versions of the Digital Circular Arc Recognition Problem
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   Chapter 5 Efficient Lattice Width Computation in Arbitrary Dimension
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   Chapter 6 Convergence of Binomial-Based Derivative Estimation for C 2 Noisy Discretized Curves
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   Chapter 7 Christoffel and Fibonacci Tiles
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   Chapter 8 Optimal Partial Tiling of Manhattan Polyominoes
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    Chapter 9 An Improved Coordinate System for Point Correspondences of 2D Articulated Shapes
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    Chapter 10 Two Linear-Time Algorithms for Computing the Minimum Length Polygon of a Digital Contour
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    Chapter 11 Multiscale Discrete Geometry
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    Chapter 12 Vanishing Point Detection with an Intersection Point Neighborhood
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    Chapter 13 Ellipse Detection with Elemental Subsets
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    Chapter 14 Multi-Label Simple Points Definition for 3D Images Digital Deformable Model
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    Chapter 15 Marching Triangle Polygonization for Efficient Surface Reconstruction from Its Distance Transform
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    Chapter 16 Multivariate Watershed Segmentation of Compositional Data
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    Chapter 17 Pixel Approximation Errors in Common Watershed Algorithms
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    Chapter 18 Digital Deformable Model Simulating Active Contours
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    Chapter 19 Topology-Preserving Thinning in 2-D Pseudomanifolds
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    Chapter 20 Discrete Versions of Stokes’ Theorem Based on Families of Weights on Hypercubes
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    Chapter 21 Distances on Lozenge Tilings
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    Chapter 22 Jordan Curve Theorems with Respect to Certain Pretopologies on $\mathbb Z^2$
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    Chapter 23 Decomposing Cavities in Digital Volumes into Products of Cycles
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    Chapter 24 Thinning Algorithms as Multivalued ${\mathcal{N}}$ -Retractions
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    Chapter 25 Characterization of Simple Closed Surfaces in ℤ 3 : A New Proposition with a Graph-Theoretical Approach
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    Chapter 26 Border Operator for Generalized Maps
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    Chapter 27 Computing Homology: A Global Reduction Approach
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    Chapter 28 Surface Sketching with a Voxel-Based Skeleton
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    Chapter 29 Minimal Offsets That Guarantee Maximal or Minimal Connectivity of Digital Curves in n D
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    Chapter 30 Arithmetization of a Circular Arc
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    Chapter 31 On the Connecting Thickness of Arithmetical Discrete Planes
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    Chapter 32 Patterns in Discretized Parabolas and Length Estimation
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    Chapter 33 Universal Spaces for $(k, \overline{k})-$ Surfaces
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    Chapter 34 A Linear Time and Space Algorithm for Detecting Path Intersection
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    Chapter 35 The <3,4,5> Curvilinear Skeleton
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    Chapter 36 A Discrete λ -Medial Axis
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    Chapter 37 Appearance Radii in Medial Axis Test Mask for Small Planar Chamfer Norms
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    Chapter 38 Exact, Scaled Image Rotation Using the Finite Radon Transform
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    Chapter 39 Lower and Upper Bounds for Scaling Factors Used for Integer Approximation of 3D Anisotropic Chamfer Distance Operator
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    Chapter 40 A Novel Algorithm for Distance Transformation on Irregular Isothetic Grids
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    Chapter 41 Fully Parallel 3D Thinning Algorithms Based on Sufficient Conditions for Topology Preservation
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    Chapter 42 Quasi-Affine Transformation in Higher Dimension
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    Chapter 43 Solving Some Instances of the 2-Color Problem
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    Chapter 44 Grey Level Estimation for Discrete Tomography
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    Chapter 45 The 1-Color Problem and the Brylawski Model