Reconstruction of convex bodies from surface tensors

DOI10.1016/j.aam.2016.01.001zbMath1337.52003OpenAlexW2260608828MaRDI QIDQ272891

Astrid Kousholt, Markus Kiderlen

Publication date: 21 April 2016

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.au.dk/publs?publid=1046

zbMATH Keywords

shapeconvex bodyreconstruction algorithmgeneralized Wirtinger's inequalityharmonic intrinsic volumesurface tensor

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Moment problems (44A60) Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

Reconstruction of \(n\)-dimensional convex bodies from surface tensors ⋮ Reconstructing planar ellipses from translation-invariant Minkowski tensors of rank two ⋮ Mean surface and volume particle tensors under \(L\)-restricted isotropy and associated ellipsoids ⋮ Reconstruction of convex bodies from moments ⋮ Kinematic formulae for tensorial curvature measures ⋮ Voronoi-based estimation of Minkowski tensors from finite point samples

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