Reconstructing plane sets from projections

DOI10.1007/BF02187787zbMath0703.52002OpenAlexW2010738383MaRDI QIDQ916093

Gabriele Bianchi, Marco Longinetti

Publication date: 1990

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131114

zbMATH Keywords

projectionsuniquenessreconstructionconvex body with finite set of spherical holesplane sets

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Euclidean geometries (general) and generalizations (51M05)

Related Items (11)

The discrete Radon transform and its approximate inversion via linear programming ⋮ Ghosts in discrete tomography ⋮ How many points can be reconstructed from k projections? ⋮ Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space ⋮ Discrete tomography: Determination of finite sets by X-rays ⋮ X-rays of polygons ⋮ Affinely regular polygons as extremals of area functionals ⋮ The smallest sets of points not determined by their X-rays ⋮ X-rays characterizing some classes of discrete sets ⋮ Symmetric products of the line: Embeddings and retractions ⋮ On the computational complexity of reconstructing lattice sets from their \(X\)-rays

Cites Work

• An isoperimetric inequality for convex polygons and convex sets with the same symmetrals
• On the well-posedness of the Hammer X-ray problem
• On Hammer's X-Ray Problem
• Practical and mathematical aspects of the problem of reconstructing objects from radiographs
• A Problem of Plane Measure
• On projections of probability distributions
• Unnamed Item

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