Algorithms for linear time reconstruction by discrete tomography. II

DOI10.1016/j.dam.2021.03.008zbMath1465.94009arXiv2010.07862OpenAlexW4206409392MaRDI QIDQ2028077

Matthew Ceko, Silvia M. C. Pagani, Robert Tijdeman

Publication date: 31 May 2021

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

Full work available at URL: https://arxiv.org/abs/2010.07862

zbMATH Keywords

discrete tomographyreconstruction algorithmghostswitching functionlattice direction

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Biomedical imaging and signal processing (92C55) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (3)

Error Correction for Discrete Tomography ⋮ Boundary ghosts for discrete tomography ⋮ Three-dimensional maximal and boundary ghosts

Uses Software

• TVR-DART

Cites Work

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• Discrete tomography determination of bounded lattice sets from four X-rays
• Sets uniquely determined by projections on axes. II: Discrete case
• On the computational complexity of reconstructing lattice sets from their \(X\)-rays
• On the computational complexity of determining polyatomic structures by X-rays
• Bounds for discrete tomography solutions
• Algorithms for linear time reconstruction by discrete tomography
• A rounding theorem for unique binary tomographic reconstruction
• The Mathematics of Computerized Tomography
• Algebraic aspects of discrete tomography
• Fundamentals of Computerized Tomography
• Uniqueness Regions under Sets of Generic Projections in Discrete Tomography
• Combinatorial Properties of Matrices of Zeros and Ones
• Unique reconstruction of bounded sets in discrete tomography
• A geometrical characterization of regions of uniqueness and applications to discrete tomography
• Discrete tomography: Determination of finite sets by X-rays
• Regions of Uniqueness Quickly Reconstructed by Three Directions in Discrete Tomography
• DART: A Practical Reconstruction Algorithm for Discrete Tomography
• Fast Approximation of Algebraic Reconstruction Methods for Tomography
• Geometrical Characterization of the Uniqueness Regions Under Special Sets of Three Directions in Discrete Tomography

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