A series formula for inversion of the V-line Radon transform in a disc

DOI10.1016/j.camwa.2013.01.039zbMath1381.44004OpenAlexW2071414958MaRDI QIDQ316223

Sunghwan Moon, Gaik Ambartsoumian

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.01.039

zbMATH Keywords

inversionseriesRadontransformbroken-rayV-line

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for inverse problems for integral equations (65R32)

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Cites Work

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• Mellin transforms and asymptotics: Harmonic sums
• Inversion of the V-line Radon transform in a disc and its applications in imaging
• Detecting small low emission radiating sources
• Mathematical Methods in Image Reconstruction
• Inversion of the circular Radon transform on an annulus
• On new {\mathfrak V}-line Radon transforms in \mathbb {R}^{2} and their inversion
• Inversion formulas for the broken-ray Radon transform
• Singularities of the X-Ray Transform and Limited Data Tomography in $\mathbb{R}^2 $ and $\mathbb{R}^3 $
• A procedure for deriving inversion formulae for integral transform pairs of a general kind

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