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CATEGORIES:Cambridge Analysts' Knowledge Exchange
SUMMARY:1D MRI Scanning with Daubechies wavelets - Alex Ba
stounis (CCA)
DTSTART;TZID=Europe/London:20131113T160000
DTEND;TZID=Europe/London:20131113T170000
UID:TALK46773AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/46773
DESCRIPTION:If a function is square integrable then we can rec
over it (in the L2 sense) by knowing all of its Fo
urier coefficients. In practical situations\, such
as MRI scanning\, we will only be able to sample
finitely many coefficients. In certain cases\, rep
resenting the function in a different basis will a
llow us to get a better reconstruction than simply
truncating the Fourier series. Throughout this ta
lk I shall discuss the method that is used to do t
his (generalized sampling) when reconstructing wit
h a basis of boundary corrected Daubechies wavelet
s. A fast reconstruction algorithm will be demonst
rated\, along with some interesting numerical resu
lts.\n\nLittle background knowledge will be assume
d\, and the talk should be accessible to first yea
r CCA students. In particular\, a detailed underst
anding of wavelets is not required and a brief sum
mary of the main ideas will be provided.
LOCATION:MR14\, Centre for Mathematical Sciences
CONTACT:Marcus Webb
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