Wavelet inversion of the \(k\)-plane transform and its application

DOI10.1016/j.acha.2006.02.004zbMath1102.65133OpenAlexW2003376452MaRDI QIDQ849686

Gang-rong Qu

Publication date: 31 October 2006

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2006.02.004

zbMATH Keywords

Radon transformnumerical examplesimage reconstruction\(k\)-plane transformconvolution -backprojection algorithmLemarie-Mayer's waveletswavelet inversion formula

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for wavelets (65T60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for integral transforms (65R10)

Related Items (4)

Landweber iterative methods for angle-limited image reconstruction ⋮ The \(k\)-plane transform on the Heisenberg group ⋮ An iterative algorithm for angle-limited three-dimensional image reconstruction ⋮ Convergence of FBP algorithm for tomography

Cites Work

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• The X-ray transform
• Harmonic analysis of neural networks
• Inverse Radon transform with one-dimensional wavelet transform
• Convolution-backprojection method for the \(k\)-plane transform, and Calderón's identity for ridgelet transforms
• Inverse Radon transforms through inverse wavelet transforms
• Ten Lectures on Wavelets
• Inversion of Radon transforms using wavelet transforms generated by wavelet measures
• Ridge functions and orthonormal ridgelets

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