Simplifying Transforms for General Elastic Metrics on the Space of Plane Curves

DOI10.1137/19M1265132zbMath1480.68016arXiv1803.10894OpenAlexW3011337740MaRDI QIDQ5108483

Tom Needham, Sebastian Kurtek

Publication date: 4 May 2020

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.10894

zbMATH Keywords

infinite-dimensional geometryelastic shape analysisSobolev metricsstatistical shape analysiscurve matching

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Machine vision and scene understanding (68T45)

Related Items (11)

A New Variational Model for Shape Graph Registration with Partial Matching Constraints ⋮ A PDE-Based Method for Shape Registration ⋮ A relaxed approach for curve matching with elastic metrics ⋮ Square Root Normal Fields for Lipschitz Surfaces and the Wasserstein Fisher Rao Metric ⋮ Using a Riemannian elastic metric for statistical analysis of tumor cell shape heterogeneity ⋮ Shape analysis of surfaces using general elastic metrics ⋮ Shape Analysis of Functional Data ⋮ Biomedical Applications of Geometric Functional Data Analysis ⋮ Elastic statistical shape analysis of biological structures with case studies: a tutorial ⋮ A numerical framework for elastic surface matching, comparison, and interpolation ⋮ Shape analysis of framed space curves

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