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

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Abstract

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 three-space, using data from rotation about three orthogonal axes. We show that in the general case two-axis data is insufficient, but we 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.

Bibliographical metadata

Original languageEnglish
JournalInverse Problems
DOIs
StatePublished - 28 Sep 2016