Exact reconstruction formula for the spherical mean Radon transform on ellipsoids
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Publication:2936488
DOI10.1088/0266-5611/30/10/105006zbMath1310.44004arXiv1404.3935OpenAlexW1988189583MaRDI QIDQ2936488
Publication date: 17 December 2014
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.3935
Related Items (10)
On non-parametric density estimation on linear and non-linear manifolds using generalized Radon transforms ⋮ The spherical Radon transform with centers on cylindrical surfaces ⋮ Variational regularization of the weighted conical Radon transform ⋮ Recovering functions from the spherical mean transform with data on an ellipse using eigenfunction expansion in elliptical coordinates ⋮ To local reconstruction from the spherical mean Radon transform ⋮ Orthogonal function series formulas for inversion of the spherical Radon transform ⋮ Recovering a Function from Circular Means or Wave Data on the Boundary of Parabolic Domains ⋮ The universal back-projection formula for spherical means and the wave equation on certain quadric hypersurfaces ⋮ Inversion of the spherical Radon transform on spheres through the origin using the regular Radon transform ⋮ On the exactness of the universal backprojection formula for the spherical means Radon transform
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