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math.AP2009
Mathematics of Photoacoustic and Thermoacoustic Tomography
Peter Kuchment, Leonid Kunyansky
This is the manuscript of the chapter for a planned Handbook of Mathematical Methods in Imaging that surveys the mathematical models, problems, and algorithms of the Thermoacoustic…
math.AP2009
Range conditions for a spherical mean transform
Mark Agranovsky, David Finch, Peter Kuchment
The paper is devoted to the range description of the Radon type transform that averages a function over all spheres centered on a given sphere. Such transforms arise naturally in t…
math.AP2009★ 41 cited
Synthetic focusing in ultrasound modulated tomography
Peter Kuchment, Leonid Kunyansky
Several hybrid tomographic methods utilizing ultrasound modulation have been introduced lately. Success of these methods hinges on the feasibility of focusing ultrasound waves at a…