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SUMMARY:Langevin equations for landmark image registration with uncertaint
 y - Stephen Marsland (Massey University)
DTSTART:20171213T113000Z
DTEND:20171213T123000Z
UID:TALK96670@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Co-author: Tony Shardlow		(University of Bath)        <b
 r></span><span><br>Pairs of images can be brought into alignment (register
 ed) by finding corresponding points on the two images and deforming one of
  them so that the points match. This can be carried out as a Hamiltonian b
 oundary-value problem\, and then provides a diffeomorphic registration bet
 ween images. However\, small changes in the positions of the landmarks can
  produce large changes in the resulting diffeomorphism. We formulate a Lan
 gevin equation for looking at small random perturbations of this registrat
 ion. The Langevin equation and three computationally convenient approximat
 ions are introduced and used as prior distributions. A Bayesian framework 
 is then used to compute a posterior distribution for the registration\, an
 d also to formulate an average of multiple sets of landmarks.&nbsp\;</span
 >
LOCATION:Seminar Room 1\, Newton Institute
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