An explicit inversion formula for the exponential Radon transform using data from \(180^\circ\)

DOI10.1007/BF02385485zbMath1056.44004OpenAlexW2094986448MaRDI QIDQ1880459

Hans Rullgård

Publication date: 28 September 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02385485

zbMATH Keywords

inversion formulaexponential Radon transform

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12)

Related Items (7)

The research of complex analytic method in spect image reconstruction ⋮ Minimax optimal estimator in a stochastic inverse problem for exponential Radon transform ⋮ Fast Laplace transforms for the exponential Radon transform ⋮ Inversion of the scalar and vector attenuated X-ray transforms in a unit disc ⋮ On the approximate inverse method in SPECT image reconstruction ⋮ Partial inversion of the 2D attenuated \(X\)-ray transform with data on an arc ⋮ Inversion formulae for the $\mathrm {\cosh }$-weighted Hilbert transform

Cites Work

• Unnamed Item
• An inversion formula for the attenuated \(X\)-ray transformation
• Inversion of the attenuated Radon transform
• Image reconstruction in 2D SPECT with 180° acquisition
• The Exponential Radon Transform
• Some inversion formulas in the single photon emission computed tomography

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