Locality of the mean curvature of rectifiable varifolds

DOI10.1515/ACV.2009.002zbMath1159.49045OpenAlexW1970389490MaRDI QIDQ3624551

Gian Paolo Leonardi, Simon Masnou

Publication date: 30 April 2009

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv.2009.002

zbMATH Keywords

semicontinuitymean curvatureimage reconstructionvarifoldsWillmore energy

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (7)

Existence of integral \(m\)-varifolds minimizing \(\int |A|^p\) and \(\int |H|^p\), \(p>m\), in Riemannian manifolds ⋮ The \(L^1\) gradient flow of a generalized scale invariant Willmore energy for radially non-increasing functions ⋮ Discrete Varifolds: A Unified Framework for Discrete Approximations of Surfaces and Mean Curvature ⋮ Phase-field approximations of the Willmore functional and flow ⋮ Some applications of the isoperimetric inequality for integral varifolds ⋮ Decay estimates for the quadratic tilt-excess of integral varifolds ⋮ A varifold perspective on the $p$-elastic energy of planar sets

Cites Work

• A direct variational approach to a problem arising in image reconstruction
• Characterization and representation of the lower semicontinuous envelope of the elastica functional
• On the first variation of a varifold

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