The method of series expansion for 3-D vector tomography reconstruction

DOI10.1016/j.jcp.2004.07.001zbMath1063.65141OpenAlexW1992755049MaRDI QIDQ703736

D. Kharzeev

Publication date: 11 January 2005

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.07.001

zbMATH Keywords

Inverse problemsX-ray transformNumerical examplesComputerized tomographyMethod of series expansionSpherical harmonics

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical methods for inverse problems for integral equations (65R32)

Related Items (5)

Vector tomography for reconstructing electric fields with non-zero divergence in bounded domains ⋮ 3D vector tomography using vector spherical harmonics decomposition ⋮ Asymptotic inversion formulas in 3D vector field tomography for different geometries ⋮ Vector spherical harmonics application to 3-D tomography problem ⋮ Singular value decomposition of the longitudinal ray transform of vector fields in a ball in cone beam coordinates

Cites Work

• Computing Fourier transforms and convolutions on the 2-sphere
• Tomographic reconstruction of vector fields
• Inversion of the k-plane transform by orthogonal function series expansions
• The X-Ray Transform and Its Inversion for the Series Expansion Basis Functions in Three-Dimensional Tomography
• A new look at the statistical model identification
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