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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On a cylindrical scanning modality in three-dimens
 ional Compton scatter tomography - James Webber (H
 arvard University)
DTSTART;TZID=Europe/London:20230516T143000
DTEND;TZID=Europe/London:20230516T153000
UID:TALK198106AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/198106
DESCRIPTION:We present injectivity and microlocal analyses of 
 a new generalized Radon transform\,R\, which has a
 pplications to a novel scanner design in 3-D Compt
 on Scattering Tomography (CST)\,which we also intr
 oduce here. Using Fourier decomposition and Volter
 ra equation theory\, we provethat R is injective a
 nd show that the image solution is unique. Using m
 icrolocal analysis\, weprove that R satisfies the 
 Bolker condition (sometimes called the &ldquo\;Bol
 ker assumption&rdquo\;)\, and weinvestigate the ed
 ge detection capabilities of R. This has important
  implications regarding the stability of inversio
 n and the amplification of measurement noise. This
  paper provides the theoreticalgroundwork for 3-D 
 CST using the proposed scanner design.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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