Rotation covariant local tensor valuations on convex bodies

DOI10.1142/S0219199716500619zbMath1373.52007arXiv1606.06028MaRDI QIDQ5354380

Daniel Hug, Rolf Schneider

Publication date: 1 September 2017

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06028

zbMATH Keywords

classification theoremvaluationMinkowski tensorrotation covariancelocal tensor valuationtensor-valued support measures

Mathematics Subject Classification ID

Dissections and valuations (Hilbert's third problem, etc.) (52B45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (3)

On the extendability by continuity of angular valuations on polytopes ⋮ Kinematic formulae for tensorial curvature measures ⋮ Characterisation of valuations and curvature measures in euclidean spaces

Cites Work

• Local tensor valuations on convex polytopes
• Minkowski tensor density formulas for Boolean models
• Tensor valuations and their applications in stochastic geometry and imaging. Based on the presentations at the workshop, Sandbjerg Manor, Denmark, September 21--26, 2014
• Voronoi-based estimation of Minkowski tensors from finite point samples
• Integral geometry of tensor valuations
• Kinematische Berührmaße für konvexe Körper
• Curvature measures of convex bodies
• Description of continuous isometry covariant valuations on convex sets
• Continuous rotation invariant valuations on convex sets
• A generalization of intersection formulae of integral geometry
• Kinematic formulas for tensor valuations
• Characterisation of valuations and curvature measures in euclidean spaces
• Local tensor valuations
• \(SO(n)\) covariant local tensor valuations on polytopes
• Vektorielle Integralgeometrie
• Krümmungsschwerpunkte konvexer Körper. II. (Barycenter of curvature of convex bodies. II)
• Additive Funktionale \(k\)-dimensionaler Eikörper. I
• Surface tensor estimation from linear sections
• Minkowski tensors of anisotropic spatial structure
• Convex Bodies The Brunn-MinkowskiTheory
• The space of isometry covariant tensor valuations
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