Inversion of \(k\)-plane transforms via continuous wavelet transforms

DOI10.1006/jmaa.1997.5852zbMath0912.44003OpenAlexW2090604356MaRDI QIDQ1269641

Boris Rubin

Publication date: 16 May 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5852

zbMATH Keywords

Fourier transformRadon transformwavelet transforminversion formulasRiesz fractional derivative\(k\)-plane transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fractional derivatives and integrals (26A33) Radon transform (44A12)

Related Items (6)

Reconstruction of functions from their integrals over \(k\)-planes ⋮ The \(k\)-plane transform on the Heisenberg group ⋮ Inversion of exponential \(k\)-plane transforms ⋮ Inversion of fractional integrals related to the spherical Radon transform ⋮ Convolution-backprojection method for the \(k\)-plane transform, and Calderón's identity for ridgelet transforms ⋮ Inversion and characterization of the hemispherical transform

Cites Work

• A note on k-plane integral transforms
• The Radon transform
• Lower dimensional integrability of \(L^2\) functions
• The Calderón reproducing formula, windowed \(X\)-ray transforms, and Radon transforms in \(L^p\)-spaces
• On the Range of the Radon d-Plane Transform and Its Dual
• Inverse Radon transforms through inverse wavelet transforms
• Inversion of Radon transforms using wavelet transforms generated by wavelet measures
• Inversion ofk-Plane Transforms and Applications in Computer Tomog
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Inversion of \(k\)-plane transforms via continuous wavelet transforms