95 citations · 395 across the 17 of their papers we have counts for
17 papers
Half-time Range description for the free space wave operator and the spherical means transform
Peter Kuchment, Leonid Kunyansky
The forward problem arising in several hybrid imaging modalities can be modeled by the Cauchy problem for the free space wave equation. Solution to this problems describes propagat…
On the exactness of the universal backprojection formula for the spherical means Radon transform
Mark Agranovsky, Leonid Kunyansky
The spherical means Radon transform is defined by the integral of a function in over the sphere of radius centered at a , n…
Microlocally accurate solution of the inverse source problem of thermoacoustic tomography
Mtthias Eller, Philip Hoskins, Leonid Kunyansky
We consider the inverse source problem of thermo- and photoacoustic tomography, with data registered on an open surface partially surrounding the source of acoustic waves. Under th…
Theoretically exact photoacoustic reconstruction from spatially and temporally reduced data
Ngoc Do, Leonid Kunyansky
We investigate the inverse source problem for the wave equation, arising in photo- and thermoacoustic tomography. There exist quite a few theoretically exact inversion formulas exp…
A dissipative time reversal technique for photo-acoustic tomography in a cavity
Linh V. Nguyen, Leonid Kunyansky
We consider the inverse source problem arising in thermo- and photo-acoustic tomography. It consists in reconstructing the initial pressure from the boundary measurements of the ac…
Exterior/interior problem for the circular means transform with applications to intravascular imaging
Gaik Ambartsoumian, Leonid Kunyansky
Exterior inverse problem for the circular means transform (CMT) arises in the intravascular photoacoustic imaging (IVPA), in the intravascular ultrasound imaging (IVUS), as well as…