The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. Vol. XXXVII. Part B7. Beijing 2008
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Regarding the different remote sensing images in the identical
area, its difference is not in the low frequency part, but in high-
frequency part. In other words, its low frequency part of the
spatial frequency spectrum is the same or similar, and the
remarkable difference is only in the high-frequency part.
Therefore, it can be processed according to the low frequency
and the high frequency by using different fusion rules.
To the low frequency components, T LL P JL , we use the
simple weighted average operator, namely:
Tll ~ Kt xT ll +K p xP ll , in which K T K p are
The comparison fusion process is as follows:
(1) Determine a size of an air zone window (for instance, may
take 5x5), and then divide W p and W T into some sub
block images of the size of this window.
(2) Carry on the value distribution statistics to each sub-block
image, and calculate its mean value and the standard deviation.
(3) Determine the data fusion value of each sub-block image as
W'= fJ. p X W p + jU T + W T , in which /Up and jUj is
the weighting factor of each sub-block of W p and W T . If
the fruit block standard deviation of W p is bigger than the
image sub-block standard deviation of W Tj then
ju p > ju T , else Pp(ju T .
Recalculate (2) and (3), to get the fusion value of all sub-block
images. Thus the new high-frequency unit W' is obtained. Then
add the high-frequency component and the low frequency
ingredient to obtain the fusion low frequency component,
weight coefficient. Because the low frequency part is mainly
taken from multi-spectrum image, K T )K p . And To the high
frequency components, we proposed a method according to the
image statistical property to process the fusion based on the
biggest criterion to partial region standard deviation [6].
Divide two high frequency images into certain sub-block
images, and then compare the standard deviation of
corresponding sub-block images. The bigger the standard
deviation of a sub-block image, the bigger the weight is.
namely: T L — T LL + W’ . Finally combine this new low
frequency component with the high frequency component of
high spatial resolution image to achieve the final fusion result in
wavelet inversion.
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3.3 Fusion result appraisal
In order to confirm the accuracy and the validity of the method,
we have selected some region terrain general picture Landsat
TM multi-spectrum image and the SPOT image to carry on the
fusion experiment. First we carry on the strict matching and
processing, analyze respectively the wavelet of the two images,
and then process it according to the method as above-mentioned.
Thus the final fusion image is obtained. In order to be compared,
these two images are processed with the WT method. The result
is shown in figure 3.
(1) Multi-spectral image
(2) high-resolution image
The results of different fusion method may be judged visually.
The merit is direct, simply, which makes the qualitative
appraisal direct according to the contrast after imagery
processing: The shortcoming is its strong subjectivity. In order
to evaluate the fusion effect objectively and quantitatively, we
analyzed the information contained in the fusing image. We use
the visual distinction firstly, and then we carry on the
quantitative analysis. (1) is the Landsat TM multi-spectrum