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Computational Topology in Image Context

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Cover of 'Computational Topology in Image Context'

Table of Contents

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    Book Overview
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    Chapter 1 Discrete Analog of the Jacobi Set for Vector Fields
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    Chapter 2 Computing and Reducing Slope Complexes
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    Chapter 3 Persistent Homology Computation Using Combinatorial Map Simplification
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    Chapter 4 Inferring Underlying Manifold of Data by the Use of Persistent Homology Analysis
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    Chapter 5 Gaps and Well-Composed Objects in the Triangular Grid
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    Chapter 6 Generating Second Order (Co)homological Information within AT-Model Context
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    Chapter 7 Computing the Component-Labeling and the Adjacency Tree of a Binary Digital Image in Near Logarithmic-Time
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    Chapter 8 Towards Emotion Recognition: A Persistent Entropy Application
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    Chapter 9 Harmonic Holes as the Submodules of Brain Network and Network Dissimilarity
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    Chapter 10 Persistent 1-Cycles: Definition, Computation, and Its Application
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    Chapter 11 A Persistence-Based Approach to Automatic Detection of Line Segments in Images
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    Chapter 12 On the Nonlinear Statistics of Optical Flow
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    Chapter 13 Topological Homogeneity for Electron Microscopy Images
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    Chapter 14 Characterising Epithelial Tissues Using Persistent Entropy
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