activity
20182025
collaborators

5 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.AP2022

Characterising small objects in the regime between the eddy current model and wave propagation

P. D. Ledger, W. R. B. Lionheart

Being able to characterise objects at low frequencies, but above the limiting frequency of the eddy current approximation of the Maxwell system, is important for improving current…

cs.CR2020

Identification of Metallic Objects using Spectral MPT Signatures: Object Characterisation and Invariants

P. D. Ledger, B. A. Wilson, A. A. S. Amad +1

The early detection of terrorist threats, such as guns and knives, through improved metal detection, has the potential to reduce the number of attacks and improve public safety and…

math.AP2018

Characterisation of Multiple Conducting Permeable Objects in Metal Detection by Polarizability Tensors

P. D. Ledger, W. R. B. Lionheart, A. A. S. Amad

Realistic applications in metal detection involve multiple inhomogeneous conducting permeable objects and the aim of this paper is to characterise such objects by polarizability te…