Novikov's inversion formula for the attenuated Radon transform -- a new approach

From MaRDI portal
Publication:1769153

DOI10.1007/BF02922067zbMath1072.44002OpenAlexW2078084833MaRDI QIDQ1769153

Jan-Olov Strömberg, Jan Boman

Publication date: 18 March 2005

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02922067




Related Items (26)

Injectivity of rotation invariant windowed Radon transformsOn the \(X\)-ray transform of planar symmetric 2-tensorsInversion of weighted Radon transforms via finite Fourier series weight approximationsThe research of complex analytic method in spect image reconstructionInversion of the attenuated X-ray transforms: method of Riesz potentialsEfficient tensor tomography in fan-beam coordinates. II: Attenuated transformsOn the inverse problem and Sobolev estimates of the generalized X-ray transformThe attenuated ray transform for connections and Higgs fieldsNumerical Reconstruction of Radiative Sources in an Absorbing and Nondiffusing Scattering Medium in Two DimensionsMinimax optimal estimator in a stochastic inverse problem for exponential Radon transformInversion formulas and range characterizations for the attenuated geodesic ray transformOn the range of the \(X\)-ray transform of symmetric tensors compactly supported in the planeThe broken ray transform on the squareStability estimates for the local Radon transformInverse source problems in transport equations with external forcesFast Laplace transforms for the exponential Radon transformThe broken ray transform in \(n\) dimensions with flat reflecting boundaryInversion of the attenuated X-ray transforms -- method of convolution-backprojectionOn the approximate inverse method in SPECT image reconstructionA Fourier approach to the inverse source problem in an absorbing and anisotropic scattering mediumTensor tomography: progress and challengesCoherent Quantum TomographyPartial inversion of the 2D attenuated \(X\)-ray transform with data on an arcOn the range of the attenuated Radon transform in strictly convex setsOn the Range Characterization of the Two-Dimensional Attenuated Doppler TransformRay transforms in hyperbolic geometry



Cites Work


This page was built for publication: Novikov's inversion formula for the attenuated Radon transform -- a new approach