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

With Gabriel Paternain – DPMMS

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

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.

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