Reconstructing plane sets from projections
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Publication:916093
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
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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