Complex Wavelet Decomposition
for Image Quality Assessment
Idea: Distortions affect magnitude
and phase statistics of complex
wavelet coefficients
JPEG Image 1, MOS = 3.5
JPEG Image 2, MOS = 1.88
-50 0 50
0
0.2
0.4
0.6
0.8
1
# of coefficients (normalized)
Wavelet coefficient
image1
image2
-60 -40 -20 0 20 40
0
0.2
0.4
0.6
0.8
1
Wavelet coefficient
image1
image2
Wavelet Decomposition
0 20 40 60 80 100
0
0.2
0.4
0.6
0.8
1
# of coefficients (normalized)
Magnitude
image1
image2
0 10 20 30 40 50 60 70
0
0.2
0.4
0.6
0.8
1
Magnitude
image1
image2
-4 -2 0 2 4
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
# of coefficients (normalized)
Phase
image1
image2
-4 -3 -2 -1 0 1 2 3 4
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
Phase
image1
image2
Complex Wavelet Decomposition
C-DIIVINE: A Complex Extension of DIIVINE
-15 -10 -5 0 5 10 15
0
0.2
0.4
0.6
0.8
1
Wavelet coefficients relative magnitude
# of coefficients (Normalized)
blur
ff
jp2k
jpeg
ref
wn
0 5 10 15 20 25 30 35 40
0
0.2
0.4
0.6
0.8
1
Wavelet coefficient magnitude
# of coefficients (Normalized)
blur
ff
jp2k
jpeg
ref
wn
Magnitude Statistics
-4 -3 -2 -1 0 1 2 3 4
0
0.2
0.4
0.6
0.8
1
Wavelet coefficients relative phase
# of coefficients (Normalized)
blur
ff
jp2k
jpeg
ref
wn
Phase Statistics
C-DIIVINE: A Complex Extension of DIIVINE
One-stage framework output Two-stage framework output
C-DIIVINE: A Complex Extension of DIIVINE
Best performance observed
on various image databases