95 citations · 146 across the 5 of their papers we have counts for
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Fast reconstruction algorithms for the thermoacoustic tomography in certain domains with cylindrical or spherical symmetries
Leonid Kunyansky
We propose three fast algorithms for solving the inverse problem of the thermoacoustic tomography corresponding to certain acquisition geometries. Two of these methods are designed…
Thermoacoustic tomography with detectors on an open curve: an efficient reconstruction algorithm
Leonid Kunyansky
Practical applications of thermoacoustic tomography require numerical inversion of the spherical mean Radon transform with the centers of integration spheres occupying an open surf…
Mathematics of thermoacoustic tomography
Peter Kuchment, Leonid Kunyansky
The paper presents a survey of mathematical problems, techniques, and challenges arising in the Thermoacoustic and Photoacoustic Tomography.
A series solution and a fast algorithm for the inversion of the spherical mean Radon transform
Leonid Kunyansky
An explicit series solution is proposed for the inversion of the spherical mean Radon transform. Such an inversion is required in problems of thermo- and photo- acoustic tomography…
Explicit inversion formulas for the spherical mean Radon transform
L. Kunyansky
We derive explicit formulas for the reconstruction of a function from its integrals over a family of spheres, or for the inversion of the spherical mean Radon transform. Such formu…