| Abstract: |
| Photoacoustic Tomography (PAT) is an emerging medical imaging technology, distinguished as one of the most sophisticated hybrid modalities. Its primary aim is to map the high-contrast optical properties of biological tissues by leveraging high-resolution ultrasound measurements. Mathematically, this can be framed as an inverse source problem for the wave equation over a specific domain. In this talk, I will show how, by assuming signal sparsity, it is possible to establish stable recovery guarantees when the domain is spherical and the data collection is restricted to a limited portion of the boundary. The result is a consequence of a general compressed sensing framework for inverse problems developed with co-authors and stability estimates tailored to this specific problem. |
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