Utilising a learned forward operator in the inverse problem of photoacoustic tomography
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917357817954304 |
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| author | Puronhaara, Karoliina Sahlström, Teemu Hauptmann, Andreas Tarvainen, Tanja |
| author_facet | Puronhaara, Karoliina Sahlström, Teemu Hauptmann, Andreas Tarvainen, Tanja |
| contents | We study the use of a learned forward operator in the inverse problem of photoacoustic tomography. The Fourier neural operator to approximate the photoacoustic wave propagation is used. Further, the inverse problem is solved using a gradient-based approach with automatic differentiation. The methodology is evaluated using numerical simulations, and the results are compared to a conventional approach, where the forward operator is approximated using the pseudospectral $k$-space method. The results show that the learned forward operator can be used to approximate the photoacoustic wave propagation with good accuracy, and that it can be utilised as a computationally efficient forward operator in solving the inverse problem of photoacoustic tomography. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_21655 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Utilising a learned forward operator in the inverse problem of photoacoustic tomography Puronhaara, Karoliina Sahlström, Teemu Hauptmann, Andreas Tarvainen, Tanja Computational Physics 68T07, 65M32, 92C55 We study the use of a learned forward operator in the inverse problem of photoacoustic tomography. The Fourier neural operator to approximate the photoacoustic wave propagation is used. Further, the inverse problem is solved using a gradient-based approach with automatic differentiation. The methodology is evaluated using numerical simulations, and the results are compared to a conventional approach, where the forward operator is approximated using the pseudospectral $k$-space method. The results show that the learned forward operator can be used to approximate the photoacoustic wave propagation with good accuracy, and that it can be utilised as a computationally efficient forward operator in solving the inverse problem of photoacoustic tomography. |
| title | Utilising a learned forward operator in the inverse problem of photoacoustic tomography |
| topic | Computational Physics 68T07, 65M32, 92C55 |
| url | https://arxiv.org/abs/2603.21655 |