449 citations · 848 across the 29 of their papers we have counts for
9 papers · 1 filter
Multistatic anisotropic travel-time as a tensor tomography problem
Naeem Desai, Oliver Graham, Sean Holman +1
Travel-time imaging problems seek to reconstruct an image of reflectivity of a scene by measuring travel time (and amplitude, phase) of electromagnetic or acoustic signals, such as…
Properties of Generalised Magnetic Polarizability Tensors
P. D. Ledger, W. R. B. Lionheart
We present new alternative complete asymptotic expansions for the time harmonic low--frequency magnetic field perturbation caused by the presence of a conducting permeable object a…
Lipschitz stability at the boundary for time-harmonic diffuse optical tomography
Olga Doeva, Romina Gaburro, William R. B. Lionheart +1
We study the inverse problem in Optical Tomography of determining the optical properties of a medium , with , under the so-called diffusion approxima…
The Spectral Properties of the Magnetic Polarizability Tensor for Metallic Object Characterisation
P. D. Ledger, W. R. B. Lionheart
The measurement of time-harmonic perturbed field data, at a range of frequencies, is beneficial for practical metal detection where the goal is to locate and identify hidden target…
Polarimetric Neutron Tomography of Magnetic Fields: Uniqueness of Solution and Reconstruction
Naeem M. Desai, William R. B. Lionheart, Morten Sales +2
We consider the problem of determination of a magnetic field from three dimensional polarimetric neutron tomography data. We see that this is an example of a non-Abelian ray transf…
Histogram Tomography
William R. B. Lionheart
In many tomographic imaging problems the data consist of integrals along lines or curves. Increasingly we encounter "rich tomography" problems where the quantity imaged is higher d…
Generalised Magnetic Polarizability Tensors
P. D. Ledger, W. R. B. Lionheart
We present a new complete asymptotic expansion for the low frequency time-harmonic magnetic field perturbation caused by the presence of a conducting (permeable) object as its size…
An explicit reconstruction algorithm for the transverse ray transform of a second rank tensor field from three axis data
Naeem M. Desai, William R. B. Lionheart
We give an explicit plane-by-plane filtered back-projection reconstruction algorithm for the transverse ray transform of symmetric second rank tensor fields on Euclidean 3-space, u…
An inverse boundary value problem for harmonic differential forms
M. S. Joshi, W. R. B. Lionheart
We show that the full symbol of the Dirichlet to Neumann map of the k-form Laplace's equation on a Riemannian manifold (of dimension greater than 2) with boundary determines the fu…