Doppler tomography for vector fields

DOI10.1088/0266-5611/11/5/009zbMath0836.44003OpenAlexW1977506423MaRDI QIDQ4855815

Gunnar Sparr, Kjell Lindström, Hans W. Persson, Kent Stråhlén

Publication date: 20 November 1995

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

Full work available at URL: https://semanticscholar.org/paper/044eedd69b4c1b224ed5ea8a6c6b27ff89d49685

zbMATH Keywords

Radon transformvector fieldreconstructionline integralsvelocity spectrumacoustic travel time measurementsDoppler frequency shift lawDoppler-Radon transformspectral analysis of signals

Mathematics Subject Classification ID

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

Related Items (22)

Error estimates for defect correction methods in Doppler tomography ⋮ The method of multipole fields for 3D vector tomography ⋮ Polynomial bases for subspaces of vector fields in the unit ball. Method of ridge functions ⋮ Numerical solution of the problem of reconstructing a potential vector field in the unit ball from its normal Radon transform ⋮ Regularization with metric double integrals for vector tomography ⋮ A new complex approach towards approximate inverse and generalized Radon transform ⋮ Efficient tensor tomography in fan-beam coordinates. II: Attenuated transforms ⋮ Singular value decomposition for longitudinal, transverse and mixed ray transforms of 2D tensor fields ⋮ Inversion of generalized Radon transforms acting on 3D vector and symmetric tensor fields ⋮ A numerical solver based on \(B\)-splines for 2D vector field tomography in a refracting medium ⋮ Two approaches to the problem of defect correction in vector field tomography solving boundary value problems ⋮ Relativistic approach to electromagnetic imaging ⋮ Asymptotic inversion formulas in 3D vector field tomography for different geometries ⋮ Tomographic reconstruction of 3-D irrotational vector fields via a discretized Ray transform ⋮ Generalized V-line transforms in 2D vector tomography ⋮ Tomographic reconstruction of the Beltrami fields ⋮ X-ray Tomography of One-forms with Partial Data ⋮ The semi-analytical method for inversion of a weighted vector ray transform in three dimensions ⋮ On the Range Characterization of the Two-Dimensional Attenuated Doppler Transform ⋮ The Chebyshev ridge polynomials in 2D tensor tomography ⋮ Histogram tomography ⋮ Ray transforms in hyperbolic geometry

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