We develop a data-driven regularization method for the severely ill-posed problem of
photoacoustic image reconstruction from limited view data. Our approach is based on the …

Reconstruction of a function from data of integrals is the mathematical model for a number of
problems arising in diagnostic techniques. These are x-ray, positron radiography …

In many tomographic applications and elsewhere, there arises a need to reconstruct a
function from the data on the boundary of some domain given either by the spherical means …

We study the limited data problem of the spherical Radon transform in two and three-
dimensional spaces with general acquisition surfaces. In such situations, it is known that the …

Intravascular photoacoustic tomography (IVPAT) is a newly developed imaging modality for
the diagnosis and intervention of coronary artery diseases. It is an ill-posed nonlinear least …

In this article we study the problem of recovering the initial data of the two-dimensional wave
equation from Neumann measurements on a convex domain Ω⊂R^2 with smooth …

Recovering a function from its spherical Radon transform with centers of spheres of
integration restricted to a hypersurface is at the heart of several modern imaging …

Optical coherence tomography (OCT) and photoacoustic tomography are emerging non‐
invasive biological and medical imaging techniques. It is a recent trend in experimental …

We study the problem of recovering the initial data (f,0) of the standard wave equation from
the Neumann trace (the normal derivative) of the solution on the boundary of convex …

We study the inverse source problem in photoacoustic tomography (PAT) for mixed data,
which denote a weighted linear combination of the acoustic pressure and its normal …