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Why Use Sobolev Metrics on the Space of Curves

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Cover of 'Why Use Sobolev Metrics on the Space of Curves'

Table of Contents

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    Book Overview
  2. Altmetric Badge
    Chapter 1 Welcome to Riemannian Computing in Computer Vision
  3. Altmetric Badge
    Chapter 2 Recursive Computation of the Fréchet Mean on Non-positively Curved Riemannian Manifolds with Applications
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    Chapter 3 Kernels on Riemannian Manifolds
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    Chapter 4 Canonical Correlation Analysis on SPD( n ) Manifolds
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    Chapter 5 Probabilistic Geodesic Models for Regression and Dimensionality Reduction on Riemannian Manifolds
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    Chapter 6 Robust Estimation for Computer Vision Using Grassmann Manifolds
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    Chapter 7 Motion Averaging in 3D Reconstruction Problems
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    Chapter 8 Lie-Theoretic Multi-Robot Localization
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    Chapter 9 Covariance Weighted Procrustes Analysis
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    Chapter 10 Elastic Shape Analysis of Functions, Curves and Trajectories
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    Chapter 11 Riemannian Computing in Computer Vision
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    Chapter 12 Elastic Shape Analysis of Surfaces and Images
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    Chapter 13 Designing a Boosted Classifier on Riemannian Manifolds
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    Chapter 14 A General Least Squares Regression Framework on Matrix Manifolds for Computer Vision
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    Chapter 15 Domain Adaptation Using the Grassmann Manifold
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    Chapter 16 Coordinate Coding on the Riemannian Manifold of Symmetric Positive-Definite Matrices for Image Classification
  18. Altmetric Badge
    Chapter 17 Summarization and Search Over Geometric Spaces
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Mentioned by

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Citations

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Title
Why Use Sobolev Metrics on the Space of Curves
Published by
arXiv, February 2015
DOI 10.1007/978-3-319-22957-7
ISBNs
978-3-31-922956-0, 978-3-31-922957-7
Authors

Martin Bauer, Martins Bruveris, Peter W. Michor

Editors

Turaga, Pavan K., Srivastava, Anuj

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 65 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Germany 2 3%
Japan 1 2%
China 1 2%
Algeria 1 2%
Unknown 60 92%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 22 34%
Researcher 11 17%
Professor > Associate Professor 5 8%
Student > Doctoral Student 4 6%
Student > Bachelor 3 5%
Other 11 17%
Unknown 9 14%
Readers by discipline Count As %
Computer Science 19 29%
Engineering 14 22%
Mathematics 7 11%
Agricultural and Biological Sciences 3 5%
Neuroscience 3 5%
Other 7 11%
Unknown 12 18%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 1. 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 18 July 2019.
All research outputs
#18,601,965
of 23,041,514 outputs
Outputs from arXiv
#538,997
of 946,399 outputs
Outputs of similar age
#262,298
of 359,012 outputs
Outputs of similar age from arXiv
#4,578
of 10,916 outputs
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So far Altmetric has tracked 946,399 research outputs from this source. They receive a mean Attention Score of 3.9. This one is in the 28th percentile – i.e., 28% of its peers scored the same or lower than it.
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We're also able to compare this research output to 10,916 others from the same source and published within six weeks on either side of this one. This one is in the 37th percentile – i.e., 37% of its contemporaries scored the same or lower than it.