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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Directional Framelets with Low Redundancy and Dire
ctional Quasi-tight Framelets - Bin Han (Universit
y of Alberta\; University of Alberta)
DTSTART;TZID=Europe/London:20190219T114000
DTEND;TZID=Europe/London:20190219T121500
UID:TALK120019AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/120019
DESCRIPTION:Edge singularities are ubiquitous and hold key
information for many high-dimensional problems. Co
nsequently\, directional
representation systems
are required to effectively capture edge singular
ities
for high-dimensional problems. However\,
the increased angular resolution often
signific
antly increases the redundancy rates of a directio
nal system. High
redundancy rates lead to expen
sive computational costs and large storage
requ
irement\, which hinder the usefulness of such dire
ctional systems for
problems in moderately high
dimensions such as video processing. In this talk
\,
we attack this problem by using directional
tensor product complex tight
framelets with mix
ed sampling factors. Such introduced directional s
ystem has
good directionality with a very low r
edundancy rate $frac{3^d-1}{2^d-1}$\,
e.g.\, th
e redundancy rates are $2$\, $2frac{2}{3}$\, $3fra
c{5}{7}$\,
$5frac{1}{3}$ and $7frac{25}{31}$ fo
r dimension $d=1\,ldots\,5$. Our numerical
expe
riments on image/video denoising and inpainting sh
ow that the performance
of our proposed directi
onal system with low redundancy rate is comparable
or
better than several state-of-the-art method
s which have much higher redundancy
rates. In t
he second part\, we shall discuss our recent devel
opments of
directional quasi-tight framelets in
high dimensions. This is a joint work with
Che
nzhe Diao\, Zhenpeng Zhao and Xiaosheng Zhuang.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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