High Sound-Contrast Inverse Scattering by MR-MF-DBIM Scheme
In ultrasound tomography, cross-sectional images represent the spatial distribution of the physical parameters of a target of interest, which can be obtained based on scattered ultrasound measurements. These measurements can be obtained from dense datasets collected at different transmitter and rece...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/11/19/3203 |
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| author | Luong Thi Theu Tran Quang-Huy Tran Duc-Nghia Vijender Kumar Solanki Tran Duc-Tan João Manuel R. S. Tavares |
| author_facet | Luong Thi Theu Tran Quang-Huy Tran Duc-Nghia Vijender Kumar Solanki Tran Duc-Tan João Manuel R. S. Tavares |
| author_sort | Luong Thi Theu |
| collection | DOAJ |
| description | In ultrasound tomography, cross-sectional images represent the spatial distribution of the physical parameters of a target of interest, which can be obtained based on scattered ultrasound measurements. These measurements can be obtained from dense datasets collected at different transmitter and receiver locations, and using multiple frequencies. The Born approximation method, which provides a simple linear relationship between the objective function and the scattering field, has been adopted to resolve the inverse scattering problem. The distorted Born iterative method (DBIM), which utilizes the first-order Born approximation, is a productive diffraction tomography scheme. In this article, the range of interpolation applications is extended at the multilayer level, taking into account the advantages of integrating this multilayer level with multiple frequencies for the DBIM. Specifically, we consider: (a) a multi-resolution technique, i.e., a multi-step interpolation for the DBIM: MR-DBIM, with the advantage that the normalized absolute error is reduced by 18.67% and 37.21% in comparison with one-step interpolation DBIM and typical DBIM, respectively; (b) the integration of multi-resolution and multi-frequency techniques with the DBIM: MR-MF-DBIM, which is applied to image targets with high sound contrast in a strongly scattering medium. Relative to MR-DBIM, this integration offers a 44.01% reduction in the normalized absolute error. |
| first_indexed | 2024-03-09T21:51:05Z |
| format | Article |
| id | doaj.art-a0c12ace9d084a28ae5ec6815c75bff9 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-09T21:51:05Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-a0c12ace9d084a28ae5ec6815c75bff92023-11-23T20:08:03ZengMDPI AGElectronics2079-92922022-10-011119320310.3390/electronics11193203High Sound-Contrast Inverse Scattering by MR-MF-DBIM SchemeLuong Thi Theu0Tran Quang-Huy1Tran Duc-Nghia2Vijender Kumar Solanki3Tran Duc-Tan4João Manuel R. S. Tavares5Institute of Applied Technology, Thu Dau Mot University, Binh Duong 820000, VietnamFaculty of Physics, Hanoi Pedagogical University 2, Hanoi 100000, VietnamInstitute of Information Technology, Vietnam Academy of Science and Technology, Hanoi 100000, VietnamCMR Institute of Technology, Hyderabad, Telangana 501401, IndiaFaculty of Electrical and Electronic Engineering, Phenikaa University, Hanoi 12116, VietnamInstituto de Ciência e Inovação em Engenharia Mecânica e Engenharia Industrial, Departamento de Engenharia Mecânica, Faculdade de Engenharia, Universidade do Porto, 4200-465 Porto, PortugalIn ultrasound tomography, cross-sectional images represent the spatial distribution of the physical parameters of a target of interest, which can be obtained based on scattered ultrasound measurements. These measurements can be obtained from dense datasets collected at different transmitter and receiver locations, and using multiple frequencies. The Born approximation method, which provides a simple linear relationship between the objective function and the scattering field, has been adopted to resolve the inverse scattering problem. The distorted Born iterative method (DBIM), which utilizes the first-order Born approximation, is a productive diffraction tomography scheme. In this article, the range of interpolation applications is extended at the multilayer level, taking into account the advantages of integrating this multilayer level with multiple frequencies for the DBIM. Specifically, we consider: (a) a multi-resolution technique, i.e., a multi-step interpolation for the DBIM: MR-DBIM, with the advantage that the normalized absolute error is reduced by 18.67% and 37.21% in comparison with one-step interpolation DBIM and typical DBIM, respectively; (b) the integration of multi-resolution and multi-frequency techniques with the DBIM: MR-MF-DBIM, which is applied to image targets with high sound contrast in a strongly scattering medium. Relative to MR-DBIM, this integration offers a 44.01% reduction in the normalized absolute error.https://www.mdpi.com/2079-9292/11/19/3203ultrasound tomographydistorted Born iterative methodmulti-resolutionmulti-frequency |
| spellingShingle | Luong Thi Theu Tran Quang-Huy Tran Duc-Nghia Vijender Kumar Solanki Tran Duc-Tan João Manuel R. S. Tavares High Sound-Contrast Inverse Scattering by MR-MF-DBIM Scheme Electronics ultrasound tomography distorted Born iterative method multi-resolution multi-frequency |
| title | High Sound-Contrast Inverse Scattering by MR-MF-DBIM Scheme |
| title_full | High Sound-Contrast Inverse Scattering by MR-MF-DBIM Scheme |
| title_fullStr | High Sound-Contrast Inverse Scattering by MR-MF-DBIM Scheme |
| title_full_unstemmed | High Sound-Contrast Inverse Scattering by MR-MF-DBIM Scheme |
| title_short | High Sound-Contrast Inverse Scattering by MR-MF-DBIM Scheme |
| title_sort | high sound contrast inverse scattering by mr mf dbim scheme |
| topic | ultrasound tomography distorted Born iterative method multi-resolution multi-frequency |
| url | https://www.mdpi.com/2079-9292/11/19/3203 |
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