3 papers
math.AP2025
Characterising buried objects in metal detection
P. D. Ledger, W. R. B. Lionheart
Current mathematical models for identifying highly conducting buried objects in metal detection assume that the soil is non-conducting and has the same permeability as free space.…
math.NA2025
How far are two symmetric matrices from commuting? With an application to object characterisation and identification in metal detection
P. D. Ledger, W. R. B. Lionheart, J. Elgy
Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed and Riema…
math.NA2024
On Regularisation of Coherent Imagery with Proximal Methods
F. M. Watson, W. R. B. Lionheart, J. Hellier
In complex-valued coherent inverse problems such as synthetic aperture radar (SAR), one may often have prior information only on the magnitude image which shows the features of int…