Neural Operator Learning for Ultrasound Tomography Inversion
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Abstract (arXiv)
Neural operator learning as a means of mapping between complex function spaces has garnered significant attention in the field of computational science and engineering (CS&E). In this paper, we apply Neural operator learning to the time-of-flight ultrasound computed tomography (USCT) problem. We learn the mapping between time-of-flight (TOF) data and the heterogeneous sound speed field using a full-wave solver to generate the training data. This novel application of operator learning circumnavigates the need to solve the computationally intensive iterative inverse problem. The operator learns the non-linear mapping offline and predicts the heterogeneous sound field with a single forward pass through the model. This is the first time operator learning has been used for ultrasound tomography and is the first step in potential real-time predictions of soft tissue distribution for tumor identification in beast imaging.
Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). Builds on 3 of its 8 references that are in the map. First posted on arXiv 6 Apr 2023.
Builds on
3 of 8 references.
References · 3
- 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,713
- 2020Fourier Neural Operator for Parametric Partial Differential Equationscited by 2,908
- 2021Neural Operator: Learning Maps Between Function Spacescited by 414
Built on by
Citing papers per year: 2023: 1; 2024: 0; 2025: 2; 2026: 1.
4 papers.
- 2025Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learningcited by 12
- 2023Neural Born Series Operator for Biomedical Ultrasound Computed Tomographycited by 3
- 2025OpenPros: A Large-Scale Dataset for Limited View Prostate Ultrasound Computed Tomographycited by 2
- 2026Isotropic Fourier Neural Operatorscited by 0
- 2026Isotropic Fourier Neural Operators4 May 2026
- 2025Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning12 Jun 2025
- 2025OpenPros: A Large-Scale Dataset for Limited View Prostate Ultrasound Computed Tomography18 May 2025
- 2023Neural Born Series Operator for Biomedical Ultrasound Computed Tomography25 Dec 2023