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Our interest lies in the identification of hidden conducting permeable objects from measurements of the perturbed magnetic field in metal detection taken over range of low frequencies. The magnetic polarizability tensor (MPT) provides a…

Numerical Analysis · Mathematics 2020-01-22 B. A. Wilson , P. D. Ledger

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 targets. In particular, these benefits are realised when frequency…

Analysis of PDEs · Mathematics 2020-01-08 P. D. Ledger , W. R. B. Lionheart

The early detection of terrorist threat objects, such as guns and knives, through improved metal detection, has the potential to reduce the number of attacks and improve public safety and security. To achieve this, there is considerable…

Machine Learning · Computer Science 2021-10-14 B. A. Wilson , P. D. Ledger , W. R. B. Lionheart

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 security. To achieve this, there is considerable potential…

Cryptography and Security · Computer Science 2020-12-21 P. D. Ledger , B. A. Wilson , A. A. S. Amad , W. R. B. Lionheart

Realistic applications in metal detection involve multiple inhomogeneous conducting permeable objects and the aim of this paper is to characterise such objects by polarizability tensors. We show that, for the eddy current model, the leading…

Analysis of PDEs · Mathematics 2018-09-25 P. D. Ledger , W. R. B. Lionheart , A. A. S. Amad

The aim of this paper is to provide a fast and efficient procedure for (real-time) target identification in imaging based on matching on a dictionary of precomputed generalized polarization tensors (GPTs). The approach is based on some…

Optimization and Control · Mathematics 2013-02-27 Habib Ammari , Thomas Boulier , Josselin Garnier , Wenjia Jing , Hyœnbæ Kang , Han Wang

We introduce a new type of object characterisation, which is capable of accurately describing small isolated inclusions for potential field inverse problems such as in electrostatics, magnetostatics and related low frequency Maxwell…

Numerical Analysis · Mathematics 2022-08-08 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 as its size tends to zero for the eddy current approximation…

Analysis of PDEs · Mathematics 2022-07-11 P. D. Ledger , W. R. B. Lionheart

The characterisation of small low conducting inclusions in an otherwise uniform background from low-frequency electrical field measurements has important applications in medical imaging using electrical impedance tomography as well as in…

Numerical Analysis · Mathematics 2022-06-24 A. A. S. Amad , P. D. Ledger , T. Betcke , D. Praetorius

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 tends to zero for the eddy current regime of Maxwell's…

Analysis of PDEs · Mathematics 2018-05-23 P. D. Ledger , W. R. B. Lionheart

Material classification is a fundamental problem in computer vision and plays a crucial role in scene understanding. Previous studies have explored various material recognition methods based on reflection properties such as color, texture,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Ryota Maeda , Naoki Arikawa , Yutaka No , Shinsaku Hiura

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 Riemannian and Euclidean metrics are applied. However, if…

Numerical Analysis · Mathematics 2025-02-19 P. D. Ledger , W. R. B. Lionheart , J. Elgy

This paper introduces Modular Linear Tokenization (MLT), a reversible and deterministic technique for encoding high-cardinality categorical identifiers into compact numerical vectors. Unlike traditional hashing or one-hot encodings, MLT…

Machine Learning · Computer Science 2025-10-31 Tcharlies Schmitz

Small object detection aims to localize and classify small objects within images. With recent advances in large-scale vision-language pretraining, finetuning pretrained object detection models has emerged as a promising approach. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-25 Kanoko Goto , Takumi Karasawa , Takumi Hirose , Rei Kawakami , Nakamasa Inoue

Quantization is essential for Neural Network (NN) compression, reducing model size and computational demands by using lower bit-width data types, though aggressive reduction often hampers accuracy. Mixed Precision (MP) mitigates this…

Machine Learning · Computer Science 2025-05-20 Shmulik Markovich-Golan , Daniel Ohayon , Itay Niv , Yair Hanani

The Polar Mellin Transform (PMT) is a well-known technique that converts images into shift, scale and rotation invariant signatures for object detection using opto-electronic correlators. However, this technique cannot be properly applied…

Image and Video Processing · Electrical Eng. & Systems 2025-03-19 Xi Shen , Julian Gamboa , Tabassom Hamidfar , Shamima Mitu , Selim M. Shahriar

Multiresolution topology optimization (MTO) methods involve decoupling of the design and analysis discretizations, such that a high-resolution design can be obtained at relatively low analysis costs. Recent studies have shown that the MTO…

Computational Engineering, Finance, and Science · Computer Science 2018-11-27 Deepak K. Gupta , Fred van Keulen , Matthijs Langelaar

This paper introduces matrix product state (MPS) decomposition as a computational tool for extracting features of multidimensional data represented by higher-order tensors. Regardless of tensor order, MPS extracts its relevant features to…

Computer Vision and Pattern Recognition · Computer Science 2016-01-22 Johann A. Bengua , Ho N. Phien , Hoang D. Tuan , Minh N. Do

The Mueller Matrix Polar Decomposition method decomposes a Mueller matrix into a diattenuator, a retarder, and a depolarizer. Among these elements, the retarder, which plays a key role in medical and material characterization, is modelled…

Serving large-scale machine learning (ML) models efficiently and with low latency has become challenging owing to increasing model size and complexity. Quantizing models can simultaneously reduce memory and compute requirements,…

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