79 citations · 96 across the 5 of their papers we have counts for
6 papers
A Radon-type transform arising in Photoacoustic Tomography with circular detectors: spherical geometry
Yulia Hristova, Sunghwan Moon, Dustin Steinhauer
This paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. We show that the transform can be decompo…
Stabilizing inverse problems by internal data. II. Non-local internal data and generic linearized uniqueness
Peter Kuchment, Dustin Steinhauer
In the previous paper "Stabilizing Inverse Problems by Internal Data", the authors introduced a simple procedure that allows one to detect whether and explain why internal informat…
A Radon-type transform arising in Photoacoustic Tomography with circular detectors
Sunghwan Moon
PAT is the best-known example of a hybrid imaging method. In this article, we define a Radon-type transform arising in a version of PAT that uses integrating circle detectors and d…
Stabilizing Inverse Problems by Internal Data
Peter Kuchment, Dustin Steinhauer
Several newly developing hybrid imaging methods (e.g., those combining electrical impedance or optical imaging with acoustics) enable one to obtain some auxiliary interior informat…
A Reconstruction Procedure for Thermoacoustic Tomography in the Case of Limited Boundary Data
Dustin Steinhauer
We derive an explicit method for reconstructing singularities of the initial data in a thermoacoustic tomography problem, in the case of variable sound speed and limited boundary d…
A Uniqueness Theorem for Thermoacoustic Tomography in the Case of Limited Boundary Data
Dustin Steinhauer
We prove a uniqueness theorem for compactly supported initial data for the variable speed wave equation arising in models of thermoacoustic tomography, given measurements on a part…