The universal back-projection formula for spherical means and the wave equation on certain quadric hypersurfaces
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Publication:2345488
DOI10.1016/j.jmaa.2015.04.018zbMath1325.35279OpenAlexW2005016239MaRDI QIDQ2345488
Markus Haltmeier, Sergiy jun. Pereverzyev
Publication date: 22 May 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.04.018
wave equationcomputed tomographyRadon transforminversion formulaspherical meansuniversal backprojection
Related Items (12)
The spherical Radon transform with centers on cylindrical surfaces ⋮ Theoretically exact photoacoustic reconstruction from spatially and temporally reduced data ⋮ Photoacoustic inversion formulas using mixed data on finite time intervals* ⋮ Explicit Inversion Formulas for the Two-Dimensional Wave Equation from Neumann Traces ⋮ Iterative methods for photoacoustic tomography in attenuating acoustic media ⋮ A Galerkin Least Squares Approach for Photoacoustic Tomography ⋮ Analysis of the Linearized Problem of Quantitative Photoacoustic Tomography ⋮ Efficient regularization with wavelet sparsity constraints in photoacoustic tomography ⋮ Operator learning approach for the limited view problem in photoacoustic tomography ⋮ Recovering the Initial Data of the Wave Equation from Neumann Traces ⋮ Recovering a Function from Circular Means or Wave Data on the Boundary of Parabolic Domains ⋮ On the exactness of the universal backprojection formula for the spherical means Radon transform
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