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Numerical Inversions of the Broken Ray Transform with fixed initial and terminal directions

Brian Sherson*, Oregon State University
Talk Abstract: 
The Broken Ray transform is a transform used in single-scattering tomography, and was introduced by Lucia Florescu, Vadim A. Markel, and John C. Schotland, in 2009, and shown to be invertible in the case of fixed initial and terminal directions. An inversion formula for this case, involving a second-order derivative and an integration was presented previously in 2012, along with some numerical results. In this talk, we will explore improvements to the numerical inversion, as well as view a numerical inversion from two sets of data that requires only first-order differentiation and no integration.
Talk Subject: 
Mathematics Applications in the Sciences
Time Slot: 
Saturday, April 2, 2016 - 14:05
Room Number: 
STAG 161