Determination of Q-convex bodies by X-rays

DOI10.1016/j.endm.2005.05.056zbMath1179.52006OpenAlexW1969063460MaRDI QIDQ3439177

Sara Brunetti, Alain Daurat

Publication date: 29 May 2007

Published in: Electronic Notes in Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.endm.2005.05.056

zbMATH Keywords

uniquenessconvex bodiesgeometric tomography

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

A solution to Hammer's X-ray reconstruction problem ⋮ Discrete Q-Convex Sets Reconstruction from Discrete Point X-Rays ⋮ Reconstruction of hv-convex sets by their coordinate X-ray functions ⋮ Binary image reconstruction based on prescribed numerical information

Cites Work

• An algorithm for reconstructing convex bodies from their projections
• Tomography of convex bodies and inscribed polygons
• Fundamentals of restricted-orientation convexity
• An algorithm reconstructing convex lattice sets.
• Determination of Q-convex sets by X-rays
• Stability in discrete tomography: some positive results
• On Hammer's X-Ray Problem
• Discrete tomography: Determination of finite sets by X-rays
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