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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 inf
ormation for many high-dimensional problems. Conse
quently\, directional representation systems are r
equired to effectively capture edge singularities
for high-dimensional problems. However\, the incre
ased angular resolution often significantly increa
ses the redundancy rates of a directional system.
High redundancy rates lead to expensive computatio
nal costs and large storage requirement\, which hi
nder the usefulness of such directional systems fo
r problems in moderately high dimensions such as v
ideo processing. In this talk\, we attack this pro
blem by using directional tensor product complex t
ight framelets with mixed sampling factors. Such i
ntroduced directional system has good directionali
ty with a very low redundancy rate $\\frac{3^d-1}{
2^d-1}$\, e.g.\, the redundancy rates are $2$\, $2
\\frac{2}{3}$\, $3\\frac{5}{7}$\, $5\\frac{1}{3}$
and $7\\frac{25}{31}$ for dimension $d=1\,\\ldots\
,5$. Our numerical experiments on image/video deno
ising and inpainting show that the performance of
our proposed directional system with low redundanc
y rate is comparable or better than several state-
of-the-art methods which have much higher redundan
cy rates. In the second part\, we shall discuss ou
r recent developments of directional quasi-tight f
ramelets in high dimensions. This is a joint work
with Chenzhe Diao\, Zhenpeng Zhao and Xiaosheng Zh
uang.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
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