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Purpose: Magnetic polarizability tensors (MPTs) provide an economical characterisation of conducting magnetic metallic objects and their spectral signature can aid in the solution of metal detection inverse problems, such as scrap metal…

Numerical Analysis · Mathematics 2024-05-01 James Elgy , Paul D. Ledger

We derive transformation formulas for the generalized polarization tensors under rigid motions and scaling in three dimensions, and use them to construct an infinite number of invariants under those transformations. These invariants can be…

Analysis of PDEs · Mathematics 2012-12-17 Habib Ammari , Daewon Chung , Hyeonbae Kang , Han Wang

Object detection is a main task in computer vision. Template matching is the reference method for detecting objects with arbitrary templates. However, template matching computational complexity depends on the rotation accuracy, being a…

Computer Vision and Pattern Recognition · Computer Science 2024-11-07 Antonio Martinez-Sanchez , Ulrike Homberg , José María Almira , Harold Phelippeau

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

This paper extends the concept of generalized polarization tensors (GPTs), which was previously defined for inclusions with homogeneous conductivities, to inhomogeneous conductivity inclusions. We begin by giving two slightly different but…

Analysis of PDEs · Mathematics 2013-07-31 Habib Ammari , Youjun Deng , Hyeonbae Kang , Hyundae Lee

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

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

A new method of matrix template matching is presented in the context of pulsar timing analysis. Pulse arrival times are typically measured using only the observed total intensity light curve. The new technique exploits the additional timing…

Astrophysics · Physics 2017-08-02 W. van Straten

This paper introduces premier and innovative (real-time) multi-scale method for target classification in electro-sensing. The intent is that of mimicking the behavior of the weakly electric fish, which is able to retrieve much more…

Numerical Analysis · Mathematics 2020-06-09 Lorenzo Baldassari , Andrea Scapin

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

In most computer vision and image analysis problems, it is necessary to define a similarity measure between two or more different objects or images. Template matching is a classic and fundamental method used to score similarities between…

Computer Vision and Pattern Recognition · Computer Science 2016-10-25 Nazanin Sadat Hashemi , Roya Babaie Aghdam , Atieh Sadat Bayat Ghiasi , Parastoo Fatemi

Single-domain generalized object detection aims to enhance a model's generalizability to multiple unseen target domains using only data from a single source domain during training. This is a practical yet challenging task as it requires the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Hao Li , Wei Wang , Cong Wang , Zhigang Luo , Xinwang Liu , Kenli Li , Xiaochun Cao

In this paper we describe a method to compute Generalized Polarization Tensors. These tensors are the coefficients appearing in the multipolar expansion of the steady state voltage perturbation caused by an inhomogeneity of constant…

Numerical Analysis · Mathematics 2018-06-25 Yves Capdeboscq , Anton Bongio Karrman , Jean-Claude Nédélec

This paper presents a comprehensive pipeline for recognizing objects targeted by human pointing gestures using RGB images. As human-robot interaction moves toward more intuitive interfaces, the ability to identify targets of non-verbal…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Lukáš Hajdúch , Viktor Kocur

This paper describes a method for searching for common sets of descriptors between collections of images. The presented method operates on local interest keypoints, which are generated using the SURF algorithm. The use of a dictionary of…

Computer Vision and Pattern Recognition · Computer Science 2015-04-28 Patryk Najgebauer , Janusz Rygal , Tomasz Nowak , Jakub Romanowski , Leszek Rutkowski , Sviatoslav Voloshynovskiy , Rafal Scherer

A novel algorithm for tunable compression to within the precision of reproduction targets, or storage, is proposed. The new algorithm is termed the `Perceptron Algorithm', which utilises simple existing concepts in a novel way, has multiple…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Vassilios S. Vassiliadis

Term pattern matching is the problem of finding all pattern matches in a subject term, given a set of patterns. Finding efficient algorithms for this problem is an important direction for research [19]. We present a new set automaton…

Formal Languages and Automata Theory · Computer Science 2021-06-30 Rick Erkens , Jan Friso Groote

Successful scientific applications of large-scale molecular dynamics often rely on automated methods for identifying the local crystalline structure of condensed phases. Many existing methods for structural identification, such as Common…

Materials Science · Physics 2016-05-24 Peter Mahler Larsen , Søren Schmidt , Jakob Schiøtz

This paper introduces a fast algorithm for simultaneous inversion and determinant computation of small sized matrices in the context of fully Polarimetric Synthetic Aperture Radar (PolSAR) image processing and analysis. The proposed fast…

Numerical Analysis · Computer Science 2018-07-24 D. F. G. Coelho , R. J. Cintra , A. C. Frery , V. S. Dimitrov

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
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