BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:A primal dual method for inverse problems in MRI with non-linear f
 orward operators - Valkonen\, T (University of Cambridge)
DTSTART:20140207T143000Z
DTEND:20140207T150000Z
UID:TALK50707@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Martin Benning (University of Cambridge)\, Dan Hol
 land (University of Cambridge)\, Lyn Gladden (University of Cambridge)\, C
 arola-Bibiane Schnlieb (University of Cambridge)\, Florian Knoll (New York
  University)\, Kristian Bredies (University of Graz)\n\nMany inverse probl
 ems inherently involve non-linear forward operators. In this talk\, I conc
 entrate on two examples from magnetic resonance imaging (MRI). One is mode
 lling the Stejskal-Tanner equation in diffusion tensor imaging (DTI)\, and
  the other is decomposing a complex image into its phase and amplitude com
 ponents for MR velocity imaging\, in order to regularise them independentl
 y. The primal-dual method of Chambolle and Pock being advantageous for con
 vex problems where sparsity in the image domain is modelled by total varia
 tion type functionals\, I recently extended it to non-linear operators. Be
 sides motivating the algorithm by the above applications\, through earlier
  collaborative efforts using alternative convex models\, I will sketch the
  main ingredients for proving local convergence of the method. Then I will
  demonstrate very promising numerical performance. \n
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR