Spherical Radon transform and related wavelet transforms

DOI10.1006/acha.1997.0228zbMath0915.44004OpenAlexW2011751803MaRDI QIDQ1267270

Boris Rubin

Publication date: 28 June 1999

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

Full work available at URL: https://doi.org/10.1006/acha.1997.0228

zbMATH Keywords

wavelet transformrangeinverse transformspherical Radon transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Radon transform (44A12)

Related Items (17)

Helgason-Marchaud inversion formulas for Radon transforms ⋮ Funk-Minkowski transform and spherical convolution of Hilbert type in reconstructing functions on the sphere ⋮ Inversion of the attenuated X-ray transforms: method of Riesz potentials ⋮ The λ-cosine transforms with odd kernel and the hemispherical transform ⋮ A generalization of the Funk–Radon transform ⋮ The Radon transform on the Heisenberg group and the transversal Radon transform ⋮ The sphere method for the inverse problems of the Radon transforms ⋮ The Cos\(^\lambda\) and Sin\(^\lambda\) transforms as intertwining operators between generalized principal series representations of SL\((n+1,\mathbb K)\) ⋮ Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere ⋮ Inversion of the attenuated X-ray transforms -- method of convolution-backprojection ⋮ Inversion of fractional integrals related to the spherical Radon transform ⋮ Wavelets on the 2-sphere: A group-theoretical approach ⋮ Convolution-backprojection method for the \(k\)-plane transform, and Calderón's identity for ridgelet transforms ⋮ Inversion and characterization of the hemispherical transform ⋮ Stereographic wavelet frames on the sphere ⋮ Locally supported wavelets on manifolds with applications to the 2D sphere ⋮ Inversion formulas for the spherical Radon transform and the generalized cosine transform.

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