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SUMMARY:Compressive imaging: Sampling strategies and reconstruction guaran
 tees - Felix Krahmer (Institute for Numerical and Applied Mathematics\, Ge
 org-August-Universität Göttingen)
DTSTART:20121025T140000Z
DTEND:20121025T150000Z
UID:TALK39434@talks.cam.ac.uk
CONTACT:Dr Hansen
DESCRIPTION:In many applications such as Magnetic Resonance Imaging\, imag
 es are acquired using Fourier transform measurements. Such measurements ca
 n be expensive and so it is of interest to exploit the wavelet domain spar
 sity of natural images to reduce the number of measurements without destro
 ying the quality of image reconstruction.\n\nMuch work in compressed sensi
 ng has been devoted to this and related problems in recent years. However\
 , a rigorous theory for sampling with compressive frequency measurements h
 as to date only been developed for bases that\, unlike wavelet bases\, are
  incoherent to the Fourier basis.\n\nNevertheless\, it has been shown empi
 rically that variable density sampling strategies seem to overcome this ob
 stacle. We introduce a theory which reveals suitable variable density samp
 ling strategies and provides the rst theoretical reconstruction results f
 or compressive imaging via frequency measurements.\n\nThis is joint work w
 ith Rachel Ward.
LOCATION:MR 14\, CMS
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