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CATEGORIES:LMS Invited Lectures 2011
SUMMARY:Minimisation of sparse higher-order energies for l
arge-scale problems in imaging - Carola-Bibiane Sc
hĂ¶nlieb (University of Cambridge)
DTSTART;TZID=Europe/London:20110323T160000
DTEND;TZID=Europe/London:20110323T170000
UID:TALK29560AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/29560
DESCRIPTION:In this talk we discuss the numerical solution of
minimisation problems promoting higher-order spars
ity properties. In particular\, we are interested
in total variation minimisation\, which enforces s
parsity on the gradient of the solution. There are
several methods presented in the literature for p
erforming very efficiently total variation minimis
ation\, e.g.\, for image processing problems of sm
all or medium size. Because of their iterative-seq
uential formulation\, none of them is able to addr
ess in real-time extremely large problems\, such a
s 4D imaging (spatial plus temporal dimensions) fo
r functional magnetic-resonance in nuclear medical
imaging\, astronomical imaging or global terrestr
ial seismic tomography. For these cases\, we propo
se subspace splitting techniques\, which accelerat
e the numerics by dimension reduction and precondi
tioning. A careful analysis of these algorithms is
furnished with a presentation of their applicatio
n to some imaging tasks.
LOCATION:Seminar Room 1\, Isaac Newton Institute for Mathem
atical Sciences
CONTACT:
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