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SUMMARY:Uncertainty Quantification of Inclusion Boundaries - Yiqiu Dong (T
 echnical University of Denmark)
DTSTART:20230327T135000Z
DTEND:20230327T144000Z
UID:TALK198205@talks.cam.ac.uk
DESCRIPTION:In this talk\, we will describe a Bayesian framework for recon
 structing the boundaries of piecewise constant regions in the X-ray comput
 ed tomography (CT) problem in an infinite-dimensional setting. In addition
  to the reconstruction\, we are also able to quantify the uncertainty of t
 he predicted boundaries. Our approach is goal oriented\, meaning that we d
 irectly detect the discontinuities from the data\, instead of reconstructi
 ng the entire image. This drastically reduces the dimension of the problem
 \, which makes the application of Markov Chain Monte Carlo (MCMC) methods 
 feasible. We will show that the new method provides an excellent platform 
 for challenging X-ray CT scenarios (e.g.\, in case of noisy data\, limited
  angle\, or sparse angle imaging).
LOCATION:Seminar Room 1\, Newton Institute
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