Almost Local Metrics on Shape Space of Hypersurfaces inn-Space

DOI10.1137/100807983zbMath1251.58002arXiv1001.0717OpenAlexW2060231700WikidataQ62597160 ScholiaQ62597160MaRDI QIDQ2912271

Martin Bauer, Philipp Harms, Peter W. Michor

Publication date: 14 September 2012

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

Full work available at URL: https://arxiv.org/abs/1001.0717

zbMATH Keywords

numerical experimentsshape spacespace of immersionssurface matchingalmost local Riemannian metricsgeodesic equation, curvature

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Spaces of embeddings and immersions (58D10) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) Manifolds of mappings (58D15)

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