November 2014
Intermediate to advanced
236 pages
7h 4m
English
book
Image and Video Compression
by Madhuri A. Joshi, Mehul S. Raval, Yogesh H. Dandawate, Kalyani R. Joshi, Shilpa P. Metkar
Content preview from Image and Video Compression
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192 Image and Video Compression
vide strong recovery guarantees with an efcient implementation.
In this chapter, we will consider iterative hard thresholding (IHT)
(Blumensath and Davies 2008; Portilla 2009) for discussions.
2. Iterative hard thresholding (IHT)
It is a greedy algorithm that solves the conned approximation in
the CS sparse recovery. It is formulated as
yx
xk
x
min||||subject to |||
|.
2
2
0
−Ψ ≤
(8.25)
This problem is solved by introducing a substitute function as follows:
xz yx xz
xz
k
,|||||||||
||
|
2
2
2
2
2
2
L
S
()
=−Ψ−Ψ−Ψ+− (8.26)
The minimization of this equation under the constraint
xk||||
0
ʺ
is obtained as
H=+Ψ−Ψ
ˆ
(())xz
yz
k
T
(8.
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