Title	Applications of Microlocal Analysis in Compton Scattering Tomography and the Geodesic Ray Transform
Creator	Holman, Sean
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-04-18T11:18
Description	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.
Extent	57.0 minutes
Subject	Mathematics; Global analysis, analysis on manifolds; Dynamical systems and ergodic theory; Global analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Manchester
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-10-16
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0383406
URI	http://hdl.handle.net/2429/71925
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Other
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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

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