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
Efficient Computation of Magnetic Polarizability Tensor Spectral Signatures for Object Characterisation in Metal Detection
James Elgy, Paul D. Ledger
Purpose: Magnetic polarizability tensors (MPTs) provide an economical characterisation of conducting magnetic metallic objects and their spectral signature can aid in the solution…