20 citations · 52 across the 15 of their papers we have counts for
6 papers · 1 filter
Boundary Recovery of Anisotropic Electromagnetic Parameters for the Time Harmonic Maxwell's Equations
Sean Holman, Vasiliki Torega
This work concerns inverse boundary value problems for the time-harmonic Maxwell's equations on differential forms. We formulate the boundary value problem on a dimensional…
Simultaneous recovery of attenuation and source density in SPECT
Sean Holman, Philip Richardson
We show that under a certain non-cancellation condition the attenuated Radon transform uniquely determines piecewise constant attenuation and piecewise source density …
Emission tomography with a multi-bang assumption on attenuation
Sean Holman, Philip Richardson
We consider the problem of joint reconstruction of both attenuation and source density in emission tomography in two dimensions. This is sometimes called the Single Photon…
The attenuated geodesic X-ray transform
Sean Holman, François Monard, Plamen Stefanov
This article deals with stability issues related to geodesic X-ray transforms, where an interplay between the (attenuation type) weight in the transform and the underlying geometry…
Reconstruction of a conformally Euclidean metric from local boundary diffraction travel times
Maarten V. de Hoop, Sean F. Holman, Einar Iversen +2
We consider a region in with boundary and a metric on conformal to the Euclidean metric. We analyze the inverse problem, originally formulat…
Recovering the isometry type of a Riemannian manifold from local boundary diffraction travel times
Maarten V. de Hoop, Sean F. Holman, Einar Iversen +2
We analyze the inverse problem, originally formulated by Dix in geophysics, of reconstructing the wave speed inside a domain from boundary measurements associated with the single s…