X-Ray Problems for Point Sources

DOI10.1112/plms/s3-46.2.241zbMath0481.52002OpenAlexW1984555816MaRDI QIDQ3937948

Kenneth J. Falconer

Publication date: 1983

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-46.2.241

zbMATH Keywords

convexityHammer's X-ray problemchordplane convex set

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (10)

On the well-posedness of the Hammer X-ray problem ⋮ A solution to Hammer's X-ray reconstruction problem ⋮ Uniqueness theorems for convex bodies in non‐Euclidean spaces ⋮ Non-central sections of convex bodies ⋮ Unique local determination of convex bodies ⋮ Nonuniqueness results for X-ray problems with point sources ⋮ Point X-rays of convex bodies in planes of constant curvature ⋮ When do sections of different dimensions determine a convex body? ⋮ Geometric tomography of convex cones ⋮ Characterizations of balls by sections and caps

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