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Discrete Geometry and Mathematical Morphology

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Cover of 'Discrete Geometry and Mathematical Morphology'

Table of Contents

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    Book Overview
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    Chapter 1 Reflections on a Scientific Career and Its Possible Legacy
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    Chapter 2 Hybrid Artificial Intelligence for Knowledge Representation and Model-Based Medical Image Understanding - Towards Explainability
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    Chapter 3 Digital Geometry, Mathematical Morphology, and Discrete Optimization: A Survey
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    Chapter 4 Gradient Vector Fields of Discrete Morse Functions and Watershed-Cuts
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    Chapter 5 Towards Topological Analysis of Non-symmetric Tensor Fields via Complexification
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    Chapter 6 A Heuristic for Short Homology Basis of Digital Objects
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    Chapter 7 Completions and Ramifications
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    Chapter 8 Algorithms for Pixelwise Shape Deformations Preserving Digital Convexity
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    Chapter 9 Full Convexity for Polyhedral Models in Digital Spaces
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    Chapter 10 Implicit Encoding and Simplification/Reduction of nGmaps
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    Chapter 11 Topological Analysis of Simple Segmentation Maps
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    Chapter 12 On the Decomposability of Homogeneous Binary Planar Configurations with Respect to a Given Exact Polyomino
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    Chapter 13 Properties of SAT Formulas Characterizing Convex Sets with Given Projections
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    Chapter 14 Morphological Counterpart of Ornstein–Uhlenbeck Semigroups and PDEs
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    Chapter 15 A Novel Approach for Computation of Morphological Operations Using the Number Theoretic Transform
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    Chapter 16 Equivariance-Based Analysis of PDE Evolutions Related to Multivariate Medians
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    Chapter 17 Morphological Adjunctions Represented by Matrices in Max-Plus Algebra for Signal and Image Processing
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    Chapter 18 A Topological Tree of Shapes
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    Chapter 19 Component-Tree Simplification Through Fast Alpha Cuts
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    Chapter 20 Component Tree Loss Function: Definition and Optimization
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    Chapter 21 Fast and Effective Superpixel Segmentation Using Accurate Saliency Estimation
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    Chapter 22 Join, Select, and Insert: Efficient Out-of-core Algorithms for Hierarchical Segmentation Trees
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    Chapter 23 Graph-Based Image Segmentation with Shape Priors and Band Constraints
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    Chapter 24 Differential Oriented Image Foresting Transform Segmentation by Seed Competition
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    Chapter 25 Tangential Cover for 3D Irregular Noisy Digital Curves
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    Chapter 26 A Curious Invariance Property of Certain Perfect Legendre Arrays: Stirring Without Mixing
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    Chapter 27 A Simple Discrete Calculus for Digital Surfaces
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    Chapter 28 Distance-Driven Curve-Thinning on the Face-Centered Cubic Grid
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    Chapter 29 A New Lattice-Based Plane-Probing Algorithm
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    Chapter 30 Exact and Optimal Conversion of a Hole-free 2d Digital Object into a Union of Balls in Polynomial Time
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    Chapter 31 Density Functions of Periodic Sequences
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    Chapter 32 Approximation of Digital Surfaces by a Hierarchical Set of Planar Patches
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    Chapter 33 Introduction to Discrete Soft Transforms
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    Chapter 34 On the Validity of the Two Raster Sequences Distance Transform Algorithm
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    Chapter 35 MorphoActivation: Generalizing ReLU Activation Function by Mathematical Morphology
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    Chapter 36 Logarithmic Morphological Neural Nets robust to lighting variations
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Title
Discrete Geometry and Mathematical Morphology
Published by
Springer International Publishing, October 2022
DOI 10.1007/978-3-031-19897-7
ISBNs
978-3-03-119896-0, 978-3-03-119897-7
Editors

Baudrier, Étienne, Naegel, Benoît, Krähenbühl, Adrien, Tajine, Mohamed

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