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math.AP2008★ 39 cited
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…
math.AP2006★ 7 cited
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…