Determination of sets with positive reach by their projection type images

DOI10.1515/JIIP.2011.037zbMath1279.52002arXiv0808.1788OpenAlexW3104721024MaRDI QIDQ5745466

Vladimir Golubyatnikov, Vladimir Yu. Rovenskij

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1788

zbMATH Keywords

convex bodyHausdorff distanceset with positive reachstability theoremgeometric tomographysupport ball

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Spherical and hyperbolic convexity (52A55) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (1)

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Cites Work

• On \((k,\varepsilon)\)-saddle submanifolds of Riemannian manifolds
• Stability theorems for projections of convex sets
• On the unique determination of compact convex sets from their projections. The complex case
• On the determination of convex bodies by translates of their projections
• Range descriptions for the spherical mean Radon transform
• Strong and Weak Convexity of Sets and Functions
• Curvature Measures

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