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Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms

Journal of Nonlinear Science(2024)10.1007/s00332-024-10035-5Source: DataRank Database

Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms is a research paper published in Journal of Nonlinear Science (2024). On theSindex it has a DataRank of 0. It has been cited 6 times.

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6 citations

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›Methodology & internals

datarank_citation_only_1hop_v6· scope data_onlyMethodology

Pipeline:MetadataData-paper checkEnrichmentCitation networkScoring

Enrichment:Funding (16 grants)Impact (FWCI 4.90)OA: closedTopics (24)IDs (PubMed, OpenAlex)

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Context only (not used in score)

Findable (1/2)

Has DOI

Accessible (0/2)

Interoperable (0/2)

Reusable (0/3)

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Authors (6)

Nicolas Charon ORCID,Eric Klassen,Sebastian Kurtek ORCID,Tom Needham,Thomas Pierron ORCID

Live enrichment

PubMed:19162232 OpenAlex:https://openalex.org/W4395481429

Division of Mathematical Sciences

Grant: DMS- 1912037

Division of Mathematical Sciences

Grant: DMS-1953267

Division of Mathematical Sciences

Grant: DMS-2015226

Division of Mathematical Sciences

Grant: DMS-2107808

Austrian Science Fund

Grant: P 35813-N

National Institutes of Health

Grant: R37-CA214955

Division of Computing and Communication Foundations

Grant: CCF-1839252

National Science Foundation

Grant: 1740761

TRIPODS: Topology, Geometry, and Data Analysis (TGDA@OSU):Discovering Structure, Shape, and Dynamics in Data

National Science Foundation

Grant: 1839252

TRIPODS+X:RES:Collaborative Research: Improving Templated Microstructures via Topological Data Analysis

National Science Foundation

Grant: 1912037

CRCNS Research Proposal: Collaborative Research: The Space of Riemannian Metrics for the Statistical Analysis of the Human Connectome

National Science Foundation

Grant: 1953267

Collaborative Research: Data-Driven Elastic Shape Analysis with Topological Inconsistencies and Partial Matching Constraints

Austrian Science Fund (FWF)

Grant: P 35813

Infinite dim. Riemannian geometry: theory and computations

National Science Foundation

Grant: 2107808

Collaborative Research: Applications of Symplectic Geometry to Frame Theory and Signal Processing

National Science Foundation

Grant: 2015226

Collaborative Research: Shape-Based Imputation and Estimation of Fragmented, Noisy Curves with Application to the Reconstruction of Fossil Bovid Teeth

National Institutes of Health

Grant: 5R37CA214955-08

Synthesizing Image-derived Heterogeneity with Genomic measurements for Assessing Disease Aggressiveness in Lower Grade Gliomas

National Science Foundation

Grant: 1945224

CAREER: Shape Analysis in Submanifold Spaces: New Directions for Theory and Algorithms

FWCI

4.90

Citation Percentile

1.0%

Citation Trend

2024

2025

closedLicense: Springer Nature TDM

publisherhttps://link.springer.com/content/pdf/10.1007/s00332-024-10035-5.pdf

publisherhttps://link.springer.com/article/10.1007/s00332-024-10035-5/fulltext.html

journalhttps://doi.org/10.1007/s00332-024-10035-5

https://dx.doi.org/10.48550/arxiv.2209.09862

http://arxiv.org/abs/2209.09862

Fields of Study

Morphological variations and asymmetryAdvanced Numerical Analysis TechniquesImage Processing and 3D Reconstruction02 engineering and technology01 natural sciences0202 electrical engineering, electronic engineering, information engineering0101 mathematics

Keywords

MathematicsEuclidean geometryAlgorithmComputer sciencePure mathematicsGeometryMathematics - Differential Geometryspace of curvesCurves in Euclidean and related spacesApplications of differential geometry to data and computer scienceLearning and adaptive systems in artificial intelligencemetric learningDifferential Geometry (math.DG)Numerical aspects of computer graphics, image analysis, and computational geometryelastic metricsComputer graphics; computational geometry (digital and algorithmic aspects)FOS: Mathematics

Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms

FAIR Checklist

Authors (6)

Funding (16 grants)

Impact

Open Access

Topics