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| The talk discusses an exterior inverse problem for the circular means transform (CMT), which arises in intravascular photoacoustic tomography (PAT) and some other imaging modalities. In this problem one needs to recover an unknown image function supported outside of a disc with CMT data collected for circles centered along the boundary of that disc. The inversion process in this setup is known to be very unstable. We present a novel algorithm for CMT inversion in the exterior problem, and show that it recovers accurately all visible singularities. |
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