Fourier duality in integral geometry and reconstruction from ray integrals

DOI10.1007/s00041-014-9340-7zbMath1312.53099OpenAlexW2046284250MaRDI QIDQ485271

Victor P. Palamodov

Publication date: 9 January 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-014-9340-7

zbMATH Keywords

dualitysupport theoremray transformcompleteness conditionhomogeneous distribution

Mathematics Subject Classification ID

Radon transform (44A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for integral transforms (65R10) Integral geometry (53C65)

Cites Work

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• An improved exact filtered backprojection algorithm for spiral computed tomography
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• Filtered Backprojection Inversion of the Cone Beam Transform for a General Class of Curves
• Cone-beam reconstruction using 1D filtering along the projection of M -lines
• New families of exact fan-beam and cone-beam image reconstruction formulae via filtering the backprojection image of differentiated projection data along singly measured lines
• The fundamental solution of linear elliptic differential equations with analytic coefficients

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