Optimal recovery of a radiating source with multiple frequencies along one line

DOI10.3934/ipi.2020044zbMath1471.44003arXiv1905.08028OpenAlexW3048158863WikidataQ109747024 ScholiaQ109747024MaRDI QIDQ2026417

Petteri Piiroinen, Joonas Ilmavirta, Tommi Brander, Teemu Tyni

Publication date: 19 May 2021

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08028

zbMATH Keywords

Laplace transformuniqueness theoreminverse source problemmultispectralPETattenuated Radon transformSPECTemission computed tomographynuclear medicinebeam hardeningmultiplicative system theorem

Mathematics Subject Classification ID

Laplace transform (44A10) Moment problems (44A60) Applications to the sciences (65Z05) Numerical methods for inverse problems for integral equations (65R32) Applications of functional analysis in numerical analysis (46N40)

Related Items (2)

Recovering a variable exponent ⋮ Variable exponent Calderón's problem in one dimension

Uses Software

• MathOverflow

Cites Work

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• Invariant distributions, Beurling transforms and tensor tomography in higher dimensions
• Tensor tomography: progress and challenges
• An inversion formula for the attenuated \(X\)-ray transformation
• Integral geometry for tensor fields. Transl. from the Russian
• Momentum ray transforms
• Modified Radon transform inversion using moments
• Inversion of the attenuated Radon transform
• 4. Integral geometry on manifolds with boundary and applications
• Foundations of Modern Probability
• Linear and Nonlinear Inverse Problems with Practical Applications
• The inverse problem of emission tomography
• The Moment Problem
• Variable exponent Calderón's problem in one dimension
• Discrete Inverse Problems
• Methods of conjugate gradients for solving linear systems

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