Published September 1, 2016 | Version v1
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Spectral and Diffraction Tomography

  • 1. University of Manchester

Description

We discuss several cases of what we call "Rich Tomography" problems in which more data is measured than a scalar for each ray. We give examples of infra red spectral tomography and Bragg edge neutron tomography in which the data is insufficient. For diffraction tomography of strain for polycrystaline materials  we give an explicit reconstruction procedure. We go on to describe a way to find six independent rotation axes using Pascal's theorem of projective geometry

Notes

This talk was given at an Inverse Problems seminar at University College London in 2013. Some of the material later appeared in Lionheart and Withers 2015 Diffraction Tomography of Strain http://iopscience.iop.org/article/10.1088/0266-5611/31/4/045005/meta

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References

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