The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. Vol. XXXVII. Part B7. Beijing 2008
The correlation coefficient reflects the redundancy degree of
images. According the table 1,we know the original image
contains a plenty of redundant information and the correlation
coefficient of fused image based on three-band biorthogonal
wavelet is less than that of original image and other fused image
except of fused image based on PCA, which indicates that this
method has less redundant information .
The mean gradient reflects the contrast between the details
variation of pattern on the image and the clarity of the image.
Of all images including original TM image ,the fused image
based on three-band biorthogonal wavelet transform has the
most mean gradient.
According to previous statistics and analysis, we can draw a
conclusion that the fusion method based on three-band
biorthogonal wavelet is efficient for merging low resolution
multi-spectral TM image and high resolution Spot panchromatic
image.lt has many advantages in comparison with other
methods when the ratio of spatial resolution of original image is
not two.Certainly other fusion methods have advantage in some
ways.
Method
MG
SD
CC
CE
34.07
46.72
0.296
35.73
52.38
0.389
PCA
26.95
53.30
-0.25
7.668
31.77
53.14
0.647
32.12
46.45
0.774
IHS
27.52
52.83
0.617
7.661
33.39
52.81
0.776
Brovey
34.31
27.68
46.07
0.661
7.683
52.99
0.463
3-band
39.82
56.33
0.578
Biorthogonal
44.63
52.93
0.523
7.786
Wavelet
33.95
58.83
0.00718
Original
35.89
52.89
0.587
7.70
Image
36.81
49.40
0.533
(TM)
29.99
55.14
0.03
Table 1 the comparison of fused image of different methods
5. CONCLUSIONS
In this paper, a new fusion method based on three-band
biorthogonal wavelet was presented to merge the multi-spectral
TM and high resolution Spot panchromatic image. Several
parameter including mean gradient, standard deviation,
correlation coefficient and combination entropy were adopted
to appraise the fused products. At last the result of experiment
proves that the fusion method based on three-band biorthogonal
wavelet is more efficient to fuse the TM 30m-resolution image
and lOm-resolution Spot panchomatic image than other fusion
methods. The reason is that biorthogonal wavelet is symmetric
and three-band wavelet can produce the low frequency image
which has the same resolution with low-resolution image.Thus
the spectral information can be reseaved to the greatest extent
and the distoration of spectral characters can be resolved.
Further we can draw a conclusion that n-band biorthogonal
wavelet has some advantages when the ratio of spatial
resolution is n. So the multi-band biorthogonal wavelet can play
a impotant role in image fusion.
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