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Evaluation of the Resolution in Inverse Scattering of Dielectric Cylinders for Medical Applications
The inverse scattering problem has numerous significant applications, including in geophysical explorations, medical imaging, and radar imaging. To achieve better performance of the imaging system, theoretical knowledge of the resolution of the algorithm is required for most of these applications. H...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10459407/ https://www.ncbi.nlm.nih.gov/pubmed/37631786 http://dx.doi.org/10.3390/s23167250 |
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author | Akbari Sekehravani, Ehsan Leone, Giovanni |
author_facet | Akbari Sekehravani, Ehsan Leone, Giovanni |
author_sort | Akbari Sekehravani, Ehsan |
collection | PubMed |
description | The inverse scattering problem has numerous significant applications, including in geophysical explorations, medical imaging, and radar imaging. To achieve better performance of the imaging system, theoretical knowledge of the resolution of the algorithm is required for most of these applications. However, analytical investigations about the resolution presently feel inadequate. In order to estimate the achievable resolution, we address the point spread function (PSF) evaluation of the scattered field for a single frequency and the multi-view case both for the near and the far fields and the scalar case when the angular domain of the incident field and observation ranges is a round angle. Instead of the common free space condition, an inhomogeneous background medium, consisting of a homogeneous dielectric cylinder with a circular cross-section in free space, is assumed. In addition, since the exact evaluation of the PSF can only be accomplished numerically, an analytical approximation of the resolution is also considered. For the sake of its comparison, the truncated singular value decomposition (TSVD) algorithm can be used to implement the exact PSF. We show how the behavior of the singular values and the resolution change by varying the permittivity of the background medium. The usefulness of the theoretical discussion is demonstrated in localizing point-like scatterers within a dielectric cylinder, so mimicking a scenario that may occur in breast cancer imaging. Numerical results are provided to validate the analytical investigations. |
format | Online Article Text |
id | pubmed-10459407 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-104594072023-08-27 Evaluation of the Resolution in Inverse Scattering of Dielectric Cylinders for Medical Applications Akbari Sekehravani, Ehsan Leone, Giovanni Sensors (Basel) Article The inverse scattering problem has numerous significant applications, including in geophysical explorations, medical imaging, and radar imaging. To achieve better performance of the imaging system, theoretical knowledge of the resolution of the algorithm is required for most of these applications. However, analytical investigations about the resolution presently feel inadequate. In order to estimate the achievable resolution, we address the point spread function (PSF) evaluation of the scattered field for a single frequency and the multi-view case both for the near and the far fields and the scalar case when the angular domain of the incident field and observation ranges is a round angle. Instead of the common free space condition, an inhomogeneous background medium, consisting of a homogeneous dielectric cylinder with a circular cross-section in free space, is assumed. In addition, since the exact evaluation of the PSF can only be accomplished numerically, an analytical approximation of the resolution is also considered. For the sake of its comparison, the truncated singular value decomposition (TSVD) algorithm can be used to implement the exact PSF. We show how the behavior of the singular values and the resolution change by varying the permittivity of the background medium. The usefulness of the theoretical discussion is demonstrated in localizing point-like scatterers within a dielectric cylinder, so mimicking a scenario that may occur in breast cancer imaging. Numerical results are provided to validate the analytical investigations. MDPI 2023-08-18 /pmc/articles/PMC10459407/ /pubmed/37631786 http://dx.doi.org/10.3390/s23167250 Text en © 2023 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 Akbari Sekehravani, Ehsan Leone, Giovanni Evaluation of the Resolution in Inverse Scattering of Dielectric Cylinders for Medical Applications |
title | Evaluation of the Resolution in Inverse Scattering of Dielectric Cylinders for Medical Applications |
title_full | Evaluation of the Resolution in Inverse Scattering of Dielectric Cylinders for Medical Applications |
title_fullStr | Evaluation of the Resolution in Inverse Scattering of Dielectric Cylinders for Medical Applications |
title_full_unstemmed | Evaluation of the Resolution in Inverse Scattering of Dielectric Cylinders for Medical Applications |
title_short | Evaluation of the Resolution in Inverse Scattering of Dielectric Cylinders for Medical Applications |
title_sort | evaluation of the resolution in inverse scattering of dielectric cylinders for medical applications |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10459407/ https://www.ncbi.nlm.nih.gov/pubmed/37631786 http://dx.doi.org/10.3390/s23167250 |
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