Acoustic Tomography of Temperature Field by Finite Element Method and Improved Singular Value Decomposition-Based Tikhonov Regularization
The reconstruction algorithms play an important role in acoustic thermometry and are a research hotspot. This paper proposes a novel reconstruction method to improve the accuracy of temperature field reconstruction methods based on acoustic tomography. First, three mesh models are constructed by usi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IEEE
2024-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10479464/ |
| _version_ | 1797213594364936192 |
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| author | Haitao Zhang Qiang Li Liming Wang |
| author_facet | Haitao Zhang Qiang Li Liming Wang |
| author_sort | Haitao Zhang |
| collection | DOAJ |
| description | The reconstruction algorithms play an important role in acoustic thermometry and are a research hotspot. This paper proposes a novel reconstruction method to improve the accuracy of temperature field reconstruction methods based on acoustic tomography. First, three mesh models are constructed by using the finite element method, which overcomes the defects of oversimplified classical discretization models. Secondly, the coefficient matrix A of the acoustic thermometry forward problem is calculated offline, and then the temperature values of several points in the measurement are obtained by solving the inverse problem using the improved regularization method based on singular value decomposition. Finally, the temperature profile of the entire region is obtained through interpolation. The correctness and feasibility of the proposed method are validated through simulations and experimental testing with three different temperature fields. Results show that the proposed method has satisfactory reconstruction accuracy and provides a different solution for reconstructing the ultrasound temperature field. |
| first_indexed | 2024-04-24T11:00:46Z |
| format | Article |
| id | doaj.art-6ba7d5300f7f431b8483be66c419670b |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-24T11:00:46Z |
| publishDate | 2024-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-6ba7d5300f7f431b8483be66c419670b2024-04-11T23:00:28ZengIEEEIEEE Access2169-35362024-01-0112503475036110.1109/ACCESS.2024.338213010479464Acoustic Tomography of Temperature Field by Finite Element Method and Improved Singular Value Decomposition-Based Tikhonov RegularizationHaitao Zhang0https://orcid.org/0000-0002-6132-5445Qiang Li1Liming Wang2https://orcid.org/0000-0002-3128-2747National Key Laboratory of Information Detection and Processing, North University of China, Taiyuan, ChinaNational Key Laboratory of Information Detection and Processing, North University of China, Taiyuan, ChinaNational Key Laboratory of Information Detection and Processing, North University of China, Taiyuan, ChinaThe reconstruction algorithms play an important role in acoustic thermometry and are a research hotspot. This paper proposes a novel reconstruction method to improve the accuracy of temperature field reconstruction methods based on acoustic tomography. First, three mesh models are constructed by using the finite element method, which overcomes the defects of oversimplified classical discretization models. Secondly, the coefficient matrix A of the acoustic thermometry forward problem is calculated offline, and then the temperature values of several points in the measurement are obtained by solving the inverse problem using the improved regularization method based on singular value decomposition. Finally, the temperature profile of the entire region is obtained through interpolation. The correctness and feasibility of the proposed method are validated through simulations and experimental testing with three different temperature fields. Results show that the proposed method has satisfactory reconstruction accuracy and provides a different solution for reconstructing the ultrasound temperature field.https://ieeexplore.ieee.org/document/10479464/Acoustic tomographytemperature fieldfinite elementsingular value decompositionregularizationinterpolation |
| spellingShingle | Haitao Zhang Qiang Li Liming Wang Acoustic Tomography of Temperature Field by Finite Element Method and Improved Singular Value Decomposition-Based Tikhonov Regularization IEEE Access Acoustic tomography temperature field finite element singular value decomposition regularization interpolation |
| title | Acoustic Tomography of Temperature Field by Finite Element Method and Improved Singular Value Decomposition-Based Tikhonov Regularization |
| title_full | Acoustic Tomography of Temperature Field by Finite Element Method and Improved Singular Value Decomposition-Based Tikhonov Regularization |
| title_fullStr | Acoustic Tomography of Temperature Field by Finite Element Method and Improved Singular Value Decomposition-Based Tikhonov Regularization |
| title_full_unstemmed | Acoustic Tomography of Temperature Field by Finite Element Method and Improved Singular Value Decomposition-Based Tikhonov Regularization |
| title_short | Acoustic Tomography of Temperature Field by Finite Element Method and Improved Singular Value Decomposition-Based Tikhonov Regularization |
| title_sort | acoustic tomography of temperature field by finite element method and improved singular value decomposition based tikhonov regularization |
| topic | Acoustic tomography temperature field finite element singular value decomposition regularization interpolation |
| url | https://ieeexplore.ieee.org/document/10479464/ |
| work_keys_str_mv | AT haitaozhang acoustictomographyoftemperaturefieldbyfiniteelementmethodandimprovedsingularvaluedecompositionbasedtikhonovregularization AT qiangli acoustictomographyoftemperaturefieldbyfiniteelementmethodandimprovedsingularvaluedecompositionbasedtikhonovregularization AT limingwang acoustictomographyoftemperaturefieldbyfiniteelementmethodandimprovedsingularvaluedecompositionbasedtikhonovregularization |