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Discrete Geometry for Computer Imagery

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Cover of 'Discrete Geometry for Computer Imagery'

Table of Contents

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    Book Overview
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    Chapter 1 A Probabilistic Grouping Principle to Go from Pixels to Visual Structures
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    Chapter 2 Ball-Based Shape Processing
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    Chapter 3 Hierarchies and Optima
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    Chapter 4 An Arithmetic and Combinatorial Approach to Three-Dimensional Discrete Lines
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    Chapter 5 Smooth 2D Coordinate Systems on Discrete Surfaces
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    Chapter 6 An Improved Riemannian Metric Approximation for Graph Cuts
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    Chapter 7 Introduction to Digital Level Layers
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    Chapter 8 Another Definition for Digital Tangents
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    Chapter 9 Associating Cell Complexes to Four Dimensional Digital Objects
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    Chapter 10 Metric Bases for Polyhedral Gauges
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    Chapter 11 Completions and Simplicial Complexes
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    Chapter 12 Hierarchic Euclidean Skeletons in Cubical Complexes
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    Chapter 13 Well-Composed Cell Complexes
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    Chapter 14 A Unified Topological Framework for Digital Imaging
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    Chapter 15 Isthmus-Based 6-Directional Parallel Thinning Algorithms
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    Chapter 16 Quasi-Linear Transformations, Numeration Systems and Fractals
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    Chapter 17 Path-Based Distance with Varying Weights and Neighborhood Sequences
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    Chapter 18 Sparse Object Representations by Digital Distance Functions
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    Chapter 19 Efficient Robust Digital Hyperplane Fitting with Bounded Error
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    Chapter 20 Analytical Description of Digital Circles
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    Chapter 21 Circular Arc Reconstruction of Digital Contours with Chosen Hausdorff Error
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    Chapter 22 Recursive Calculation of Relative Convex Hulls
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    Chapter 23 An Error Bounded Tangent Estimator for Digitized Elliptic Curves
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    Chapter 24 Estimation of the Derivatives of a Digital Function with a Convergent Bounded Error
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    Chapter 25 Properties and Applications of the Simplified Generalized Perpendicular Bisector
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    Chapter 26 Delaunay Properties of Digital Straight Segments
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    Chapter 27 Computing the Characteristics of a SubSegment of a Digital Straight Line in Logarithmic Time
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    Chapter 28 A Near-Linear Time Guaranteed Algorithm for Digital Curve Simplification under the Fréchet Distance
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    Chapter 29 Distance between Separating Circles and Points
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    Chapter 30 Optimal Consensus Set for Annulus Fitting
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    Chapter 31 Bounds on the Difference between Reconstructions in Binary Tomography
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    Chapter 32 Tiling the Plane with Permutations
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    Chapter 33 Characterization of { − 1,0, + 1} Valued Functions in Discrete Tomography under Sets of Four Directions
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    Chapter 34 Growth of Discrete Projection Ghosts Created by Iteration
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    Chapter 35 Properties of Minimal Ghosts
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    Chapter 36 Mathematical Morphology on Hypergraphs: Preliminary Definitions and Results
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    Chapter 37 Some Morphological Operators on Simplicial Complex Spaces
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    Chapter 38 Selection of Relevant Nodes from Component-Trees in Linear Time
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    Chapter 39 Image Denoising with a Constrained Discrete Total Variation Scale Space
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    Chapter 40 Smale-Like Decomposition and Forman Theory for Discrete Scalar Fields
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    Chapter 41 ACCORD: With Approximate Covering of Convex Orthogonal Decomposition
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    Chapter 42 Measures for Surface Comparison on Unstructured Grids with Different Density
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    Chapter 43 Approximate Shortest Paths in Simple Polyhedra
Attention for Chapter 22: Recursive Calculation of Relative Convex Hulls
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Chapter title
Recursive Calculation of Relative Convex Hulls
Chapter number 22
Book title
Discrete Geometry for Computer Imagery
Published by
Springer, Berlin, Heidelberg, April 2011
DOI 10.1007/978-3-642-19867-0_22
Book ISBNs
978-3-64-219866-3, 978-3-64-219867-0
Authors

Gisela Klette, Klette, Gisela

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Student > Doctoral Student 1 50%
Unknown 1 50%
Readers by discipline Count As %
Engineering 1 50%
Unknown 1 50%