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In this article a topological sensitivity framework for far field detection of a diametrically small electromagnetic inclusion is established. The cases of single and multiple measurements of the electric far field scattering amplitude at a…

Numerical Analysis · Mathematics 2017-03-10 Abdul Wahab , Tasawar Abbas , Naveed Ahmed , Qazi Muhammad Zaigham Zia

The aim of this article is to elaborate and rigorously analyze a topological derivative based imaging framework for locating an electromagnetic inclusion of diminishing size from boundary measurements of the tangential component of…

Optimization and Control · Mathematics 2015-04-10 Abdul Wahab

The focus of this work is on rigorous mathematical analysis of the topological derivative based detection algorithms for the localization of an elastic inclusion of vanishing characteristic size. A filtered quadratic misfit is considered…

Analysis of PDEs · Mathematics 2012-11-29 Habib Ammari , Elie Bretin , Josselin Garnier , Wenjia Jing , Hyeonbae Kang , Abdul Wahab

A non-iterative topological sensitivity framework for guaranteed far field detection of a dielectric inclusion is presented. The cases of single and multiple measurements of the electric far field scattering amplitude at a fixed frequency…

Mathematical Physics · Physics 2016-10-27 Abdul Wahab , Naveed Ahmed , Tasawar Abbas

The topology method is an algorithm for accurate estimation of instantaneous heartbeat intervals using millimeter-wave radar signals. In this model, feature points are extracted from the skin displacement waveforms generated by heartbeats…

Signal Processing · Electrical Eng. & Systems 2024-02-23 Yuji Tanaka , Kimitaka Sumi , Itsuki Iwata , Takuya Sakamoto

This work considers the inclusion detection problem of electrical impedance tomography with stochastic conductivities. It is shown that a conductivity anomaly with a random conductivity can be identified by applying the Factorization Method…

Analysis of PDEs · Mathematics 2018-10-11 Andrea Barth , Bastian Harrach , Nuutti Hyvönen , Lauri Mustonen

We consider an inverse problem of location identification of small conductivity inhomogeneity inside a conductor via boundary measurements which occurs in the EIT (Electrical Impedance Tomography). For this purpose, we derive topological…

Classical Physics · Physics 2013-08-20 Won-Kwang Park

Topography and gravity are geophysical fields whose joint statistical structure derives from interface-loading processes modulated by the underlying mechanics of isostatic and flexural compensation in the shallow lithosphere. Under this…

Geophysics · Physics 2013-02-25 Frederik J. Simons , Sofia C. Olhede

Topology is a central notion in the classification of band insulators and characterization of entangled many-body quantum states. In some cases, it manifests as quantized observables such as quantum Hall conductance. However, being…

Strongly Correlated Electrons · Physics 2022-08-26 Sangjin Lee , Kyung-Hwan Jin , Byungmin Kang , B. J. Kim , Gil Young Cho

In this paper, we investigate a non-iterative imaging algorithm based on the topological derivative in order to retrieve the shape of penetrable electromagnetic inclusions when their dielectric permittivity and/or magnetic permeability…

Mathematical Physics · Physics 2013-05-14 Won-Kwang Park

Qualitative methods such as the linear sampling method and the factorization method reconstruct acoustic scatterers through sampling indicators. In practice, these indicators are gray-scale fields on a prescribed sampling window and a…

Numerical Analysis · Mathematics 2026-05-21 Xiaomei Yang , Jiaying Jia , Zhiliang Deng

Spectral measurements of boundary localized in-gap modes are commonly used to identify topological insulators via the bulk-boundary correspondence. This can be extended to high-order topological insulators for which the most striking…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Christopher W. Peterson , Tianhe Li , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

Photoelasticity is employed to investigate the stress state near stiff rectangular and rhombohedral inclusions embedded in a 'soft' elastic plate. Results show that the singular stress field predicted by the linear elastic solution for the…

Soft Condensed Matter · Physics 2014-04-04 Diego Misseroni , Francesco Dal Corso , Summer Shahzad , Davide Bigoni

In controlled blasting operations, accurately detecting densely distributed tiny boreholes from far-view imagery is critical for operational safety and efficiency. However, existing detection methods often struggle due to small object…

Computer Vision and Pattern Recognition · Computer Science 2025-05-09 Xuesong Liu , Tianyu Hao , Emmett J. Ientilucci

The main purpose of this paper is to study the structure of the well-known non-iterative MUltiple SIgnal Classification (MUSIC) algorithm for identifying the shape of extended electromagnetic inclusions of small thickness located in a…

Mathematical Physics · Physics 2015-04-07 Won-Kwang Park

Feature-based geo-localization relies on associating features extracted from aerial imagery with those detected by the vehicle's sensors. This requires that the type of landmarks must be observable from both sources. This lack of variety of…

Computer Vision and Pattern Recognition · Computer Science 2024-05-17 Miguel Ángel Muñoz-Bañón , Alejandro Olivas , Edison Velasco-Sánchez , Francisco A. Candelas , Fernando Torres

The increasing availability of full-field displacement data from imaging techniques in experimental mechanics is determining a gradual shift in the paradigm of material model calibration and discovery, from using several simple-geometry…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Saeid Ghouli , Moritz Flaschel , Siddhant Kumar , Laura De Lorenzis

We consider the problem of reconstructing inhomogeneities in an isotropic elastic body using time harmonic waves. Here we extend the so called monotonicity method for inclusion detection and show how to determine certain types of…

Analysis of PDEs · Mathematics 2023-09-18 Sarah Eberle-Blick , Valter Pohjola

This paper is concerned with the Boundary Element simulation of elastic domains that contain thin inclusions that have elastic material properties, which are different to the domain. With thin inclusions we mean inclusions with extreme…

Numerical Analysis · Mathematics 2025-05-27 Vincenzo Mallardo , Christian Dunser , Gernot Beer

Traditional methods to achieve high localization accuracy with tactile sensors usually use a matrix of miniaturized individual sensors distributed on the area of interest. This approach usually comes at a price of increased complexity in…

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