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SUMMARY:On a cylindrical scanning modality in three-dimensional Compton sc
 atter tomography - James Webber (Harvard University)
DTSTART:20230516T133000Z
DTEND:20230516T143000Z
UID:TALK198106@talks.cam.ac.uk
DESCRIPTION:We present injectivity and microlocal analyses of a new genera
 lized Radon transform\,R\, which has applications to a novel scanner desig
 n in 3-D Compton Scattering Tomography (CST)\,which we also introduce here
 . Using Fourier decomposition and Volterra equation theory\, we provethat 
 R is injective and show that the image solution is unique. Using microloca
 l analysis\, weprove that R satisfies the Bolker condition (sometimes call
 ed the &ldquo\;Bolker assumption&rdquo\;)\, and weinvestigate the edge det
 ection capabilities of R. This has important implications regarding the st
 ability of inversion and the amplification of measurement noise. This pap
 er provides the theoreticalgroundwork for 3-D CST using the proposed scann
 er design.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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