Sobolev space norm regularized full waveform inversion for ultrasound computed tomography

doi:10.1088/1674-1056/adbbc0

中国物理B ›› 2025, Vol. 34 ›› Issue (5): 54301-054301.doi: 10.1088/1674-1056/adbbc0

Sobolev space norm regularized full waveform inversion for ultrasound computed tomography

Panpan Li(李盼盼)^1,2, Yubing Li(李玉冰)^1,2,†, Chang Su(苏畅)^1,2, Zeyuan Dong(董则元)^1,2, and Weijun Lin(林伟军)^1,2,‡

1 Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China;
2 University of the Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2024-12-31 修回日期:2025-02-06 接受日期:2025-03-03 出版日期:2025-05-15 发布日期:2025-04-28
通讯作者: Yubing Li, Weijun Lin E-mail:liyubing@mail.ioa.ac.cn;linwj@mail.ioa.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12474461), the Basic and Frontier Exploration Project Independently Deployed by Institute of Acoustics, Chinese Academy of Sciences (Grant No. JCQY202402), and the Goal-Oriented Project Independently Deployed by Institute of Acoustics, Chinese Academy of Sciences (Grant No. MBDX202113).

Sobolev space norm regularized full waveform inversion for ultrasound computed tomography

Panpan Li(李盼盼)^1,2, Yubing Li(李玉冰)^1,2,†, Chang Su(苏畅)^1,2, Zeyuan Dong(董则元)^1,2, and Weijun Lin(林伟军)^1,2,‡

1 Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China;
2 University of the Chinese Academy of Sciences, Beijing 100049, China

Received:2024-12-31 Revised:2025-02-06 Accepted:2025-03-03 Online:2025-05-15 Published:2025-04-28
Contact: Yubing Li, Weijun Lin E-mail:liyubing@mail.ioa.ac.cn;linwj@mail.ioa.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12474461), the Basic and Frontier Exploration Project Independently Deployed by Institute of Acoustics, Chinese Academy of Sciences (Grant No. JCQY202402), and the Goal-Oriented Project Independently Deployed by Institute of Acoustics, Chinese Academy of Sciences (Grant No. MBDX202113).

摘要/Abstract

摘要： Full waveform inversion (FWI) is a complex data fitting process based on full wavefield modeling, aiming to quantitatively reconstruct unknown model parameters from partial waveform data with high-resolution. However, this process is highly nonlinear and ill-posed, therefore achieving high-resolution imaging of complex biological tissues within a limited number of iterations remains challenging. We propose a multiscale frequency-domain full waveform inversion (FDFWI) framework for ultrasound computed tomography (USCT) imaging of biological tissues, which innovatively incorporates Sobolev space norm regularization for enhancement of prior information. Specifically, we investigate the effect of different types of hyperparameter on the imaging quality, during which the regularization weight is dynamically adapted based on the ratio of the regularization term to the data fidelity term. This strategy reduces reliance on predefined hyperparameters, ensuring robust inversion performance. The inversion results from both numerical and experimental tests (i.e., numerical breast, thigh, and ex vivo pork-belly tissue) demonstrate the effectiveness of our regularized FWI strategy. These findings will contribute to the application of the FWI technique in quantitative imaging based on USCT and make USCT possible to be another high-resolution imaging method after x-ray computed tomography and magnetic resonance imaging.

关键词: full waveform inversion, Sobolev space norm regularization, ultrasound computed tomography

Abstract: Full waveform inversion (FWI) is a complex data fitting process based on full wavefield modeling, aiming to quantitatively reconstruct unknown model parameters from partial waveform data with high-resolution. However, this process is highly nonlinear and ill-posed, therefore achieving high-resolution imaging of complex biological tissues within a limited number of iterations remains challenging. We propose a multiscale frequency-domain full waveform inversion (FDFWI) framework for ultrasound computed tomography (USCT) imaging of biological tissues, which innovatively incorporates Sobolev space norm regularization for enhancement of prior information. Specifically, we investigate the effect of different types of hyperparameter on the imaging quality, during which the regularization weight is dynamically adapted based on the ratio of the regularization term to the data fidelity term. This strategy reduces reliance on predefined hyperparameters, ensuring robust inversion performance. The inversion results from both numerical and experimental tests (i.e., numerical breast, thigh, and ex vivo pork-belly tissue) demonstrate the effectiveness of our regularized FWI strategy. These findings will contribute to the application of the FWI technique in quantitative imaging based on USCT and make USCT possible to be another high-resolution imaging method after x-ray computed tomography and magnetic resonance imaging.

Key words: full waveform inversion, Sobolev space norm regularization, ultrasound computed tomography

中图分类号: (Acoustic imaging, displays, pattern recognition, feature extraction)

43.60.Lq

43.80.Qf (Medical diagnosis with acoustics) 43.35.Wa (Biological effects of ultrasound, ultrasonic tomography) 87.63.dh (Ultrasonographic imaging)

Panpan Li(李盼盼), Yubing Li(李玉冰), Chang Su(苏畅), Zeyuan Dong(董则元), and Weijun Lin(林伟军). Sobolev space norm regularized full waveform inversion for ultrasound computed tomography[J]. 中国物理B, 2025, 34(5): 54301-054301.

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Sobolev space norm regularized full waveform inversion for ultrasound computed tomography

Sobolev space norm regularized full waveform inversion for ultrasound computed tomography

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