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Performance of the Linear Model Scattering of 2D Full Object with Limited Data

Inverse scattering problems stand at the center of many important imaging applications, such as geophysical explorations, radar imaging, and synthetic-aperture radar (SAR). Several methods have been proposed to solve them when the full data are available, usually providing satisfactory reconstructio...

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Autores principales: Sekehravani, Ehsan Akbari, Leone, Giovanni, Pierri, Rocco
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9147966/
https://www.ncbi.nlm.nih.gov/pubmed/35632277
http://dx.doi.org/10.3390/s22103868
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author Sekehravani, Ehsan Akbari
Leone, Giovanni
Pierri, Rocco
author_facet Sekehravani, Ehsan Akbari
Leone, Giovanni
Pierri, Rocco
author_sort Sekehravani, Ehsan Akbari
collection PubMed
description Inverse scattering problems stand at the center of many important imaging applications, such as geophysical explorations, radar imaging, and synthetic-aperture radar (SAR). Several methods have been proposed to solve them when the full data are available, usually providing satisfactory reconstructions. However, it is impossible to acquire the full data in many practical circumstances, such as target detection and ground penetrating radar (GPR); consequently, only limited data are available. Thus, this paper focuses on the mathematical analysis and some numerical simulations to estimate the achievable resolution in reconstructing an object from the knowledge of the scattered far-field when only limited data are available, with multi-view excitations at a single frequency. We focus on 2D full rectangular geometry as the investigation domain (ID). We also examine the number of degrees of freedom (NDF) and evaluate the point spread function (PSF). In particular, the NDF of the considered geometry can be estimated analytically. An approximated closed-form evaluation of the PSF is recalled, discussed, and compared with the exact one. Moreover, receiving, transmission, and angle sensing modes are considered to apply the analysis to more realistic scenarios to highlight the difference between the corresponding NDF and the resulting resolution performances. Finally, interesting numerical applications of the resolution analysis for the localization of a collection of point-like scatterers are presented to illustrate how it matches the expectations.
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spelling pubmed-91479662022-05-29 Performance of the Linear Model Scattering of 2D Full Object with Limited Data Sekehravani, Ehsan Akbari Leone, Giovanni Pierri, Rocco Sensors (Basel) Article Inverse scattering problems stand at the center of many important imaging applications, such as geophysical explorations, radar imaging, and synthetic-aperture radar (SAR). Several methods have been proposed to solve them when the full data are available, usually providing satisfactory reconstructions. However, it is impossible to acquire the full data in many practical circumstances, such as target detection and ground penetrating radar (GPR); consequently, only limited data are available. Thus, this paper focuses on the mathematical analysis and some numerical simulations to estimate the achievable resolution in reconstructing an object from the knowledge of the scattered far-field when only limited data are available, with multi-view excitations at a single frequency. We focus on 2D full rectangular geometry as the investigation domain (ID). We also examine the number of degrees of freedom (NDF) and evaluate the point spread function (PSF). In particular, the NDF of the considered geometry can be estimated analytically. An approximated closed-form evaluation of the PSF is recalled, discussed, and compared with the exact one. Moreover, receiving, transmission, and angle sensing modes are considered to apply the analysis to more realistic scenarios to highlight the difference between the corresponding NDF and the resulting resolution performances. Finally, interesting numerical applications of the resolution analysis for the localization of a collection of point-like scatterers are presented to illustrate how it matches the expectations. MDPI 2022-05-19 /pmc/articles/PMC9147966/ /pubmed/35632277 http://dx.doi.org/10.3390/s22103868 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Sekehravani, Ehsan Akbari
Leone, Giovanni
Pierri, Rocco
Performance of the Linear Model Scattering of 2D Full Object with Limited Data
title Performance of the Linear Model Scattering of 2D Full Object with Limited Data
title_full Performance of the Linear Model Scattering of 2D Full Object with Limited Data
title_fullStr Performance of the Linear Model Scattering of 2D Full Object with Limited Data
title_full_unstemmed Performance of the Linear Model Scattering of 2D Full Object with Limited Data
title_short Performance of the Linear Model Scattering of 2D Full Object with Limited Data
title_sort performance of the linear model scattering of 2d full object with limited data
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9147966/
https://www.ncbi.nlm.nih.gov/pubmed/35632277
http://dx.doi.org/10.3390/s22103868
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