The Modulo Radon Transform: Theory, Algorithms, and Applications

DOI10.1137/21M1424615zbMath1500.44001arXiv2105.04194OpenAlexW3161477338MaRDI QIDQ5863520

Felix Krahmer, Matthias Beckmann, Ayush Bhandari

Publication date: 1 June 2022

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.04194

zbMATH Keywords

inverse problemRadon transformimage processingimage reconstructionhigh dynamic rangeX-ray tomographycomputational imagingmodulo nonlinearity

Mathematics Subject Classification ID

Radon transform (44A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Sampling theory in information and communication theory (94A20)

Cites Work

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• Saturation rates of filtered back projection approximations
• Optimality of the fully discrete filtered backprojection algorithm for tomographic inversion
• Mathematical Methods in Image Reconstruction
• The Exponential Radon Transform
• Error estimates and convergence rates for filtered back projection
• A Backprojection Slice Theorem for Tomographic Reconstruction
• On Unlimited Sampling and Reconstruction
• Error analysis for filtered back projection reconstructions in Besov spaces

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