BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Applications of Microlocal Analysis in Compton Scattering Tomography and the Geodesic Ray Transform Holman, Sean


I will discuss work I have done applying microlocal analysis to Compton scattering tomography and the geodesic ray transform. These are different topics linked by the common use of microlocal analysis. In Compton scattering tomography I will discuss the analysis of the normal operator in a particular scanning geometry which shows that the normal operator in this case is the sum of paired Lagrangian operators. The Lagrangian which is not the diagonal is explicitly found, and the results are supported with numerical demonstrations. For geodesic ray transform, I will discuss how to characterise of the strength of artifacts occurring at conjugate points, in two dimensions, in terms of vanishing Jacobi fields.

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