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SUMMARY:Nonuniform Generalized Sampling - Milana Gataric\, (Cambridge Cent
 re for Analysis)
DTSTART:20121205T160000Z
DTEND:20121205T170000Z
UID:TALK40418@talks.cam.ac.uk
CONTACT:Kevin Crooks
DESCRIPTION:In this talk\, we present a new extension of the method known 
 as Generalized Sampling introduced by Anders Hansen and Ben Adcock. This n
 ew framework enables a stable and quasi-optimal reconstruction of a functi
 on in a separable Hilbert space from its non-uniformly distributed Fourier
  samples. The case when the Fourier samples are distributed non-uniformly 
 is particularly challenging because the famous Nyquist--Shannon Sampling T
 heorem does not hold. We conclude with some thoughts on current research r
 egarding the reconstruction in dimensions higher than one\, which is impor
 tant in applications to MRI\, for example\, when the samples are acquired 
 along a spiral.
LOCATION:MR14\, Centre for Mathematical Sciences
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