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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 Topological Digital Topology
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    Chapter 2 Fuzzy Spatial Relationships from Mathematical Morphology for Model-Based Pattern Recognition and Spatial Reasoning
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    Chapter 3 Shape Similarity and Visual Parts
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    Chapter 4 On the Morphological Processing of Objects with Varying Local Contrast
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    Chapter 5 Watershed Algorithms and Contrast Preservation
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    Chapter 6 Digital Flatness
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    Chapter 7 Shape Preserving Digitization of Ideal and Blurred Binary Images
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    Chapter 8 Towards Digital Cohomology
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    Chapter 9 New Results about Digital Intersections
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    Chapter 10 On Local Definitions of Length of Digital Curves
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    Chapter 11 Characterising 3D Objects by Shape and Topology
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    Chapter 12 Homotopic Transformations of Combinatorial Maps
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    Chapter 13 Combinatorial Topologies for Discrete Planes
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    Chapter 14 Convex Structuring Element Decomposition for Single Scan Binary Mathematical Morphology
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    Chapter 15 Designing the Lattice for Log-Polar Images
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    Chapter 16 On Colorations Induced by Discrete Rotations
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    Chapter 17 Binary Shape Normalization Using the Radon Transform
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    Chapter 18 3D Shape Matching through Topological Structures
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    Chapter 19 Contour-Based Shape Representation for Image Compression and Analysis
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    Chapter 20 Systematized Calculation of Optimal Coefficients of 3-D Chamfer Norms
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    Chapter 21 Look-Up Tables for Medial Axis on Squared Euclidean Distance Transform
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    Chapter 22 Discrete Frontiers
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    Chapter 23 Towards an Invertible Euclidean Reconstruction of a Discrete Object
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    Chapter 24 Reconstruction of Discrete Surfaces from Shading Images by Propagation of Geometric Features
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    Chapter 25 Shape Representation and Indexing Based on Region Connection Calculus and Oriented Matroid Theory
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    Chapter 26 Incremental Algorithms Based on Discrete Green Theorem
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    Chapter 27 Using 2D Topological Map Information in a Markovian Image Segmentation
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    Chapter 28 Topology Preservation and Tricky Patterns in Gray-Tone Images
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    Chapter 29 Shortest Route on Height Map Using Gray-Level Distance Transforms
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    Chapter 30 On the Use of Shape Primitives for Reversible Surface Skeletonization
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    Chapter 31 d -Dimensional Reverse Euclidean Distance Transformation and Euclidean Medial Axis Extraction in Optimal Time
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    Chapter 32 Efficient Computation of 3D Skeletons by Extreme Vertex Encoding
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    Chapter 33 Surface Area Estimation of Digitized Planes Using Weighted Local Configurations
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    Chapter 34 Surface Area Estimation in Practice
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    Chapter 35 Perimeter and Area Estimations of Digitized Objects with Fuzzy Borders
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    Chapter 36 Geodesic Object Representation and Recognition
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    Chapter 37 A Fast Algorithm for Reconstructing hv -Convex 8-Connected but Not 4-Connected Discrete Sets
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    Chapter 38 Stability in Discrete Tomography: Linear Programming, Additivity and Convexity
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    Chapter 39 Removal and Contraction for n-Dimensional Generalized Maps
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    Chapter 40 The Generation of N Dimensional Shape Primitives
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    Chapter 41 Geometric Measures on Arbitrary Dimensional Digital Surfaces
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    Chapter 42 Nonlinear Optimization for Polygonalization
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    Chapter 43 A Representation for Abstract Simplicial Complexes: An Analysis and a Comparison
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    Chapter 44 A Computation of a Crystalline Flow Starting from Non-admissible Polygon Using Expanding Selfsimilar Solutions
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    Chapter 45 Morphological Image Reconstruction with Criterion from Labelled Markers
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    Chapter 46 Intertwined Digital Rays in Discrete Radon Projections Pooled over Adjacent Prime Sized Arrays
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    Chapter 47 Power Law Dependencies to Detect Regions of Interest
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    Chapter 48 Speed Up of Shape from Shading Using Graduated Non-convexity
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    Chapter 49 Tissue Reconstruction Based on Deformation of Dual Simplex Meshes
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    Chapter 50 Spherical Object Reconstruction Using Simplex Meshes from Sparse Data
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    Chapter 51 A System for Modelling in Three-Dimensional Discrete Space
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    Chapter 52 Interactively Visualizing 18-Connected Object Boundaries in Huge Data Volumes
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Title
Discrete Geometry for Computer Imagery
Published by
Springer Berlin Heidelberg, November 2003
DOI 10.1007/b94107
ISBNs
978-3-54-020499-2, 978-3-54-039966-7
Editors

Nyström, Ingela, Sanniti di Baja, Gabriella, Svensson, Stina

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 36 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Germany 1 3%
France 1 3%
Unknown 34 94%

Demographic breakdown

Readers by professional status Count As %
Researcher 12 33%
Student > Ph. D. Student 6 17%
Student > Master 3 8%
Student > Bachelor 2 6%
Unspecified 2 6%
Other 5 14%
Unknown 6 17%
Readers by discipline Count As %
Computer Science 17 47%
Engineering 6 17%
Physics and Astronomy 2 6%
Unspecified 1 3%
Earth and Planetary Sciences 1 3%
Other 3 8%
Unknown 6 17%