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Imaging through optical fibres

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ASCW03 - Approximation, sampling, and compression in high dimensional problems

In this talk, I'll present some recent results on reconstruction of optical vector-fields using measurements acquired by an optical fibre characterised by a non-unitary integral transform with an unknown spatially-variant kernel. A new imaging framework will be introduced, which through regularisation is able to recover an optical vector-field with respect to an arbitrary representation system potentially different from the one used for fibre calibration. In particular, this enables the recovery of an optical vector-field with respect to a Fourier basis, which is shown to yield indicative features of increased scattering associated with tissue abnormalities. The effectiveness of this framework is demonstrated using biological tissue samples in an experimental setting where measurements are acquired by a fibre endoscope, and it is observed that indeed the recovered Fourier coefficients are useful in distinguishing healthy tissues from lesions in early stages of cancer. If time permits, I'll also briefly present a new method that enables recovery of non-unitary fibre transmission matrices necessary for minimally invasive optical imaging in inaccessible areas of the body.

This talk is part of the Isaac Newton Institute Seminar Series series.

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