Convolution-backprojection method for the \(k\)-plane transform, and Calderón's identity for ridgelet transforms

DOI10.1016/j.acha.2004.03.003zbMath1042.42036OpenAlexW1989876133MaRDI QIDQ1826532

Boris Rubin

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.acha.2004.03.003

zbMATH Keywords

wavelet transformsridgelet transforms\(k\)-plane Radon transformconvolution-backprojection method

Mathematics Subject Classification ID

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

Related Items (16)

Reconstruction of functions from their integrals over \(k\)-planes ⋮ Higher-rank wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices ⋮ Wavelet inversion of the \(k\)-plane transform and its application ⋮ Neural network with unbounded activation functions is universal approximator ⋮ On some inversion formulas for Riesz potentials and k-plane transforms ⋮ Inversion of the attenuated X-ray transforms: method of Riesz potentials ⋮ The \(k\)-plane transform on the Heisenberg group ⋮ An inversion formula of Radon transform on the product Heisenberg group ⋮ The Radon transform on the Heisenberg group and the transversal Radon transform ⋮ The sphere method for the inverse problems of the Radon transforms ⋮ Wavelet transform and Radon transform on the quaternion Heisenberg group ⋮ Complex ridgelets for shift invariant characterization of surface topography with line singularities ⋮ Semyanistyi's integrals and Radon transforms on matrix spaces ⋮ Radial wavelet and radon transform on the Heisenberg group ⋮ Inversion of the attenuated X-ray transforms -- method of convolution-backprojection ⋮ Inversion formulas of integral geometry in real hyperbolic space

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