Stability in discrete tomography: some positive results

DOI10.1016/j.dam.2004.09.012zbMath1067.92042OpenAlexW1997409649MaRDI QIDQ1775620

Alain Daurat, Sara Brunetti

Publication date: 4 May 2005

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2004.09.012

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Linear programming (90C05) Biomedical imaging and signal processing (92C55)

Related Items (10)

A solution to Hammer's X-ray reconstruction problem ⋮ Bounds on the quality of reconstructed images in binary tomography ⋮ Discrete tomography for inscribable lattice sets ⋮ Discrete Q-Convex Sets Reconstruction from Discrete Point X-Rays ⋮ A framework for generating some discrete sets with disjoint components by using uniform distributions ⋮ Reconstruction of hv-convex sets by their coordinate X-ray functions ⋮ Quality bounds for binary tomography with arbitrary projection matrices ⋮ Symmetric products of the line: Embeddings and retractions ⋮ Determination of Q-convex bodies by X-rays ⋮ Discrete Tomography in Discrete Deconvolution: Deconvolution of Binary Images Using Ryser's Algorithm

Uses Software

• SoPlex

Cites Work

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• Random generation of \(Q\)-convex sets
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• On Hammer's X-Ray Problem
• Sets Uniquely Determined by Projections on Axes I. Continuous Case
• Pick's Theorem
• Discrete tomography: Determination of finite sets by X-rays
• X-rays characterizing some classes of discrete sets

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