Optimal Reparametrizations in the Square Root Velocity Framework

DOI10.1137/15M1014693zbMath1357.58005arXiv1507.02728OpenAlexW2963323484MaRDI QIDQ3179346

Martins Bruveris

Publication date: 21 December 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02728

zbMATH Keywords

shape spacegeodesic distanceRiemannian shape analysisSobolev metricsquare-root representation

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Manifolds of mappings (58D15)

Related Items (12)

Statistical shape analysis of simplified neuronal trees ⋮ The square root normal field distance and unbalanced optimal transport ⋮ A New Variational Model for Shape Graph Registration with Partial Matching Constraints ⋮ Comparing curves in homogeneous spaces ⋮ Quotient elastic metrics on the manifold of arc-length parameterized plane curves ⋮ A PDE-Based Method for Shape Registration ⋮ Simplifying Transforms for General Elastic Metrics on the Space of Plane Curves ⋮ Square Root Normal Fields for Lipschitz Surfaces and the Wasserstein Fisher Rao Metric ⋮ A discrete framework to find the optimal matching between manifold-valued curves ⋮ Elastic statistical shape analysis of biological structures with case studies: a tutorial ⋮ Elastic analysis of irregularly or sparsely sampled curves ⋮ Shape analysis of framed space curves

Uses Software

• fdasrvf

Cites Work

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