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SUMMARY:Linear reconstructions and the analysis of the stable sampling rat
 e - Laura Terhaar
DTSTART:20171101T160000Z
DTEND:20171101T170000Z
UID:TALK94171@talks.cam.ac.uk
CONTACT:Kasia Wyczesany
DESCRIPTION:High quality reconstruction from a small amount of measurement
 s is of high interest in a lot of applications\, as medical imaging\, lens
 less cameras and fluorescence microscopy. This is now feasible due to appr
 oaches as Generalized sampling and the Projected Backward Data Weak method
 . Both methods have in common that their performance depends highly on the
  angle between the sampling and the reconstruction space.\nIn this talk we
  will look at the reconstruction from binary measurements modeled with Wal
 sh functions. We will show that the relation between the dimension of the 
 sampling and the reconstruction space only needs to be linear for the reco
 nstruction with boundary wavelets. Additionally\, we will show that for Ha
 ar wavelets we even get a sharp bound.
LOCATION:MR14\, Centre for Mathematical Sciences
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