An explicit reconstruction algorithm for the transverse ray transform of a second rank tensor field from three axis data.

Naeem Desai (The University of Manchester)

ATB Frank Adams 1,

 We give an explicit plane-by-plane filtered back-projection reconstruction algorithm for the transverse ray transform of symmetric second rank tensor fields on Euclidean 3-space, using data from rotation about three orthogonal axes. We show that in the general case two axis data is insufficient but give an explicit reconstruction procedure for the potential case with two axis data. We describe a numerical implementation of the three axis algorithm and give reconstruction results for simulated data.

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