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Effective inversion of the attenuated X-ray transform associated with a connection.

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If you have a question about this talk, please contact Rachel Furner .

I will discuss inversion formulas (up to a compact error) for the attenuated X-ray transform on a non-trapping surface, when the attenuation is determined by a complex matrix of 1-forms (a GL(n,C)-connection). The formulas lead naturally to a filtered-backprojection algorithm and if time allows, I’ll discuss some numerical simulations. This is joint work with Francois Monard.

This talk is part of the CCIMI Seminars series.

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