Stanziola, A;
Arridge, SR;
Cox, BT;
Treeby, BE;
(2021)
A Helmholtz equation solver using unsupervised learning: Application to transcranial ultrasound.
Journal of Computational Physics
, 441
, Article 110430. 10.1016/j.jcp.2021.110430.
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Abstract
Transcranial ultrasound therapy is increasingly used for the non-invasive treatment of brain disorders. However, conventional numerical wave solvers are currently too computationally expensive to be used online during treatments to predict the acoustic field passing through the skull (e.g., to account for subject-specific dose and targeting variations). As a step towards real-time predictions, in the current work, a fast iterative solver for the heterogeneous Helmholtz equation in 2D is developed using a fully-learned optimizer. The lightweight network architecture is based on a modified UNet that includes a learned hidden state. The network is trained using a physics-based loss function and a set of idealized sound speed distributions with fully unsupervised training (no knowledge of the true solution is required). The learned optimizer shows excellent performance on the test set, and is capable of generalization well outside the training examples, including to much larger computational domains, and more complex source and sound speed distributions, for example, those derived from x-ray computed tomography images of the skull.
| Type: | Article |
|---|---|
| Title: | A Helmholtz equation solver using unsupervised learning: Application to transcranial ultrasound |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jcp.2021.110430 |
| Publisher version: | https://doi.org/10.1016/j.jcp.2021.110430 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher's terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10129267 |
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