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SUMMARY:1D MRI Scanning with Daubechies wavelets - Alex Bastounis (CCA)
DTSTART:20131113T160000Z
DTEND:20131113T170000Z
UID:TALK46773@talks.cam.ac.uk
CONTACT:Marcus Webb
DESCRIPTION:If a function is square integrable then we can recover it (in 
 the L2 sense) by knowing all of its Fourier coefficients. In practical sit
 uations\, such as MRI scanning\, we will only be able to sample finitely m
 any coefficients. In certain cases\, representing the function in a differ
 ent basis will allow us to get a better reconstruction than simply truncat
 ing the Fourier series. Throughout this talk I shall discuss the method th
 at is used to do this (generalized sampling) when reconstructing with a ba
 sis of boundary corrected Daubechies wavelets. A fast reconstruction algor
 ithm will be demonstrated\, along with some interesting numerical results.
 \n\nLittle background knowledge will be assumed\, and the talk should be a
 ccessible to first year CCA students. In particular\, a detailed understan
 ding of wavelets is not required and a brief summary of the main ideas wil
 l be provided. 
LOCATION:MR14\, Centre for Mathematical Sciences
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