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Discrete Geometry and Mathematical Morphology

Overview of attention for book
Cover of 'Discrete Geometry and Mathematical Morphology'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    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
  26. Altmetric Badge
    Chapter 25 Tangential Cover for 3D Irregular Noisy Digital Curves
  27. Altmetric Badge
    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
  35. Altmetric Badge
    Chapter 34 On the Validity of the Two Raster Sequences Distance Transform Algorithm
  36. Altmetric Badge
    Chapter 35 MorphoActivation: Generalizing ReLU Activation Function by Mathematical Morphology
  37. Altmetric Badge
    Chapter 36 Logarithmic Morphological Neural Nets robust to lighting variations
Attention for Chapter 36: Logarithmic Morphological Neural Nets robust to lighting variations
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About this Attention Score

  • Average Attention Score compared to outputs of the same age
  • Above-average Attention Score compared to outputs of the same age and source (58th percentile)

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Chapter title
Logarithmic Morphological Neural Nets robust to lighting variations
Chapter number 36
Book title
Discrete Geometry and Mathematical Morphology
Published in
arXiv, October 2022
DOI 10.1007/978-3-031-19897-7_36
Book ISBNs
978-3-03-119896-0, 978-3-03-119897-7
Authors

Guillaume Noyel, Emile Barbier--Renard, Michel Jourlin, Thierry Fournel, Noyel, Guillaume, Barbier-Renard, Emile, Jourlin, Michel, Fournel, Thierry

X Demographics

X Demographics

The data shown below were collected from the profiles of 2 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Researcher 1 100%
Readers by discipline Count As %
Computer Science 1 100%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 2. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 30 November 2022.
All research outputs
#15,291,435
of 23,511,526 outputs
Outputs from arXiv
#334,332
of 972,877 outputs
Outputs of similar age
#225,402
of 444,850 outputs
Outputs of similar age from arXiv
#15,563
of 42,405 outputs
Altmetric has tracked 23,511,526 research outputs across all sources so far. This one is in the 32nd percentile – i.e., 32% of other outputs scored the same or lower than it.
So far Altmetric has tracked 972,877 research outputs from this source. They receive a mean Attention Score of 3.9. This one has gotten more attention than average, scoring higher than 60% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 444,850 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 45th percentile – i.e., 45% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 42,405 others from the same source and published within six weeks on either side of this one. This one has gotten more attention than average, scoring higher than 58% of its contemporaries.