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CATEGORIES:CCIMI Seminars
SUMMARY:Energy methods for the geodesic X-ray transform -
Mikko Salo (University of Jyväskylä)
DTSTART;TZID=Europe/London:20170518T150000
DTEND;TZID=Europe/London:20170518T160000
UID:TALK72581AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/72581
DESCRIPTION:The Euclidean X-ray transform\, which encodes the
integrals of a function over straight lines\, is a
classical topic (going back to J. Radon in 1917)\
nand forms the basis of imaging methods such as X-
ray computed tomography and PET. The geodesic X-ra
y transform encodes the integrals of a function ov
er more general families of curves\, such as the g
eodesics of a sound speed or Riemannian metric. It
arises in seismic imaging and transmission ultras
ound imaging as the linearization of the travel ti
me tomography problem\, in Electrical Impedance To
mography (the Calderon problem)\, and in inverse s
pectral problems.\n\nThere has been considerable r
ecent progress in understanding the mathematical p
roperties of the geodesic X-ray transform\, based
on several\ndifferent methods. In this talk we wil
l discuss results related to energy methods for th
e underlying transport PDE\, partly based on joint
works with G. Paternain (Cambridge) and G. Uhlman
n (Washington).
LOCATION:MR9 Centre for Mathematical Sciences
CONTACT:Rachel Furner
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