Forest vegetation information
of multispectral image from space and it's false color display
tradeoff
Zhu Qijiang, Liu
Jinying Beijing Normal University, Beijing, China
Abstract The vegetation response to
environment is very sensitive .We need to concern both the quality and the
temporal of imagers when selecting the images. In order to compare the
performance of land sat MSS TM images and SPOT HRV images with infrared
color photographs we select three images windows for processing in
Pingquan county, Hebei province.
The problem of selecting a subset
of a multi image for enhancement by false color compositing rationing or
differencing is generally difficult Usually an intuitive selecting based
on physical characteristics of the scenes and on experiences is made
multispectral images often exhibit high correlations between spectral
bands therefore the redundancy between the components of such multi images
may be significant.
- It's common knowledge that there are similarities between some two
image bands of land sat TM. A false-color composite image generated by
three different bands which are dependent on each other may give more
information of physical landscape one way is to choose three difference
image bands in which exhibition of lower correlation exists for
enhancement by false color composite the correlation matrix of Dawopu
digital image window are shown in table 1.
Table 1: Correlation matrix of TM digital image (expect
band 6) Dawopu image window Pingquan county
1. |
1.000 |
2. |
0.876 |
1.000 |
3. |
0.833 |
0.964 |
1.000 |
4. |
0.108 |
0.216 |
0.043 |
1.000 |
5. |
0.730 |
0.842 |
0.773 |
0.531 |
1.000 |
7. |
0.845 |
0.922 |
0.913 |
0.223 |
0.918 |
1.00 | | Based
on the independence of image data we can distinguish the original six
image bands as three image data subset visible image subset
(TM1,TM2,TM3,) near infrared image subset (TM4) and mid infrared image
subset (TM5,TM7) thus all of possible optional color display subsets of
TM images are: (TM4,TM5,TM3),(TM4,TM5,TM2),(TM4,Tm3 TM1);
(TM4,TM2,TM7),(TM4,TM3,TM7) and (TM4,TM5,TM7). Color plate 1
(TM4,TM3,TM2) and color plate 2 (TM,TM5,TM3) show two land sat TM
false-color composite images of Weizhangzi image window (Pingquan county
) by linear stretch at the same time in different way. The color plate 1
corresponds to standard false color composite The space geometric
features in color pears in color plate 2 are almost the same in accuracy
but more spectral information appears in color plate 2 than color plate
1 the plate 2 can show the difference not only in crops category but
also in water condition and immaturity of crops.
- Orthogonal Transform Based on statistical Features of image data.
The K-L transform to principal components provides a new set of
component images that are in correlated and ranked so that each
components ha variance less than the previous component. Thus, the K-L
transform can be used to reduce the number of spectral components to
fewer principal components that account for all but a negligible part of
the variance in the original multi spectral image The principal
components images may be enhanced combined in to false color composites.
The K-L transform image F° is obtained p components of a
multispectral image X by the transformation.
F° = t(X-Mx) Where X is a vector whose elements are
the components at a given location (j, K) in the original multispectral
image, Mx is the mean vector of X the components of vector f are the
principal components at the location (j,k), T is the P by p unitary
matrix whose rows are the normalized eigenvectors tp of the spectral
covariance matrix Cx of X arranged in a descending order according to
the magnitude of their corresponding eigenvalues, the covariance matrix
cx is computed as :
Cx = E [ (X-Mx) (X-M)T ] The eigenvector tp from the
basis of a space in which the covariance matrix is diagonal therefore
the principal components are uncorrelated.
The means and various
of six Tm bands (expect the thermal infrared band 6) of Dawopu image
window Pinquan county are shown in table 2.
The table 2 shows
that larger variance appear in three reflectance infrared bands of TM
than is visible bands and the most abundant information is given in TM5
band.
Table 2: means and variances of TM digital image (expect
band 6) Dawopu image window Pingquan county
Channel |
Wavelength (um) |
Mean |
Variance |
1 |
0.42-0.52 |
60.252 |
41.226 |
2 |
0.52-0.60 |
26.578 |
26.436 |
3 |
0.63-0.69 |
24.592 |
74.716 |
4 |
0.76-0.90 |
78.801 |
283.478 |
5 |
1.55-1.75 |
71.921 |
416.664 |
6 |
2.08-2.35 |
25.107 |
114.679 | The eigenvalues the
percentage variances and the cumulative percentage age variances are
calculated and shown in table 3.
Table 3. eignvalues and cumulative percent variance.
Parameter |
Principal Component |
1 |
2 |
3 |
4 |
5 |
7 |
Eigenvalues |
691.098 |
234.514 |
18.187 |
7.658 |
2.872 |
1.904 |
Percent variance |
0.772 |
0.245 |
0.019 |
0.0008 |
0.003 |
0.002 |
Cumulative percent variance |
0.772 |
0.967 |
0.986 |
0.994 |
0.997 |
0.99 | The first principal
component image contains 77.2 percent of the original data variances the
first three principal component images contain 98.6 of K-L transform and
contain obvious physical shown in color plate 3 there is very abundant
vegetation information in color plate 3 that almost is a fine vegetation
distribution map.
The interpretation results on vegetation from
color plate 3 are shown in table 4.
Table 4. interpretation list for false display of
components PCI ( red ) PC2 (green) PC3 (Blue).
Tone |
Land use / land Cover |
Purple |
bare land or spared withered grass land |
yellow |
shrub (down edge of forest ) or farmer land with irrigation
condition |
Red |
farmer land with nature crops |
Black |
Chinese pine forest |
Blue black |
larch forest |
Dark blue |
mixed forest of birch and Chinese pine |
Light blue |
birch forest (young growth ) |
Azure |
meadow |
Grass green |
birch forest. |
- Trade-off in false-color composite of the rationing images.
Pingquan county is located in high mountain region with heavy
shadows that hinder the interpretation of vegetation We need to develop
a technique to remove the shadows and extract the vegetation
information.
According to the concept of the optimum index
factor (OIF),
Eq. Where si standard deviation of rationing image for order i,
| R | is the absolute value of correlation coefficient for color order
j. By random test we get the rationing image subset
[TM/TM3,TM3/TM2,TM2/TM1] whose OIF value is the maximized and make
false-color display for this rationing image subset (appropriate color
red , green, blue )in which the mountain shadows were removed and the
land cover information was extracted successfully in order to compare
the effects between the false color composition of rationing image
(TM4/TM3,red,TM3/TM2) green TM2/TM1blue and original image we also given
the false color composition of original images ( TM5,red, TM3, Green,
TM2 , blue) which are shown in color plate 4.
- A discussion on mixed image subset of false color composite for
feature enhancement .
Three image subsets are mentioned above i.e.
subset 1 ( TM1,TM2,Tm3…TM7) formed by the original six base data of
landsat TM images (expect the thermal infrared band 6) made up by
principal components of K-L transformation and subset 3 composed of 30
independent rationing images generated from the same TM image data . we
call it can mixed subset which is made up of one or two subsets above
Therefore according to the principle for us to from the new subsets how
should we form the mixed subsets in order to extract or enhance certain
physical landscape information we follow we follow a principle that is
called physical landscape in formation weighting and complement each
other adopting such a principle we can effectively enhance any features
we are interested in.
We select Dawopu image window to discuss
the effectiveness of mixed subset in feature enhancement comparing mixed
subset image (K1,K2,T4) (color plate 5) with K-L transformation image
(K1,K2,K3) (color plate 3) we can discover that the false color
composite image formed by mixed subset has a higher ability in
vegetation classification for example a cutover a kilometer north of
Lujuanzi displayed as a unitary pattern in the standard false color
image but the same area can be divided into three patterns of different
colors in the image formed by (K1,K2, T4) it illustrates that the region
can be further classified in vegetation for example according to 1:35000
color infrared airphotos, there is brush around Majiazi village a km
south east to Lujuanzi but in the orthogonal transform image the pattern
is divided in to yellow and light blue standing for buch and grass in
the mixed subset image the same patter is cut into four separate parts
by four color similarity the wide flood land near Shihu village in color
plate 5 displays as a uniform yellow color but in color image of
(T5,T4,K1) (color plate 6) it shows as four colored pattern which
illustrate the difference of water condition of various land cover types
if analyzed with great concentration variable can be obtained.
- An approach to external forest vegetation information from multi
temporal NOAA-AVHRR image.
Although it is obvious unrealistic for
using above mentioned image processing methods to study global scale or
continent sized forest vegetation it is very important to illustrate
changes of global environment .People are forced to concern on finding a
way to extract vegetation information from NOAA-AVHRR digital images
.such vegetation cover types as force Brush grassland or meadow have
their own life rhythm which can be reflected by vegetation index
vegetation index mentioned here is defined as the ratio of observed
values of the second channel to the first channel of AVHRR the ratio is
a function of time which values reflects of vegetation and strength of
photosynthesis moreover it's deeply influenced by background (siol) as a
matter of fact VI is the index of vegetation landscape.
The
researched AVHRR image is a 512*512 pixel image window of Dalainor Inner
Mongolia to the North West lie Great Xingan Mts to the south there
stands mountain QiLaoTu with Silamuren river passes through and dalai
nor lake in the center .Te time that the four images were received is
the vegetation gouts season in 1989 and respectively the date is May 4
and June 8 July 2 and August 13 . The original images are strictly
matched by mercator projection transform after computing the VI of four
original images separately we co responsibility get four temporary VI
images to separate the vegetation types from each other the four VI
images are K-L transformed and the temporal dimension coordinate is
completed. The result K-L transformation is shown on Table 5.
Table 5. eigenvalues and eigen vectors of K-L transform
for vegetation index
Temporal number |
1(5.04) |
2,(6,08 ) |
3(7,03) |
4(8,13) |
Mean |
189.98 |
232.27 |
154.07 |
153.85 |
Variance |
25.029 |
33.752 |
77.434 |
77.507 |
Correlation matrix |
1 |
626.48 |
211.07 |
1415.0 |
1428.5 |
2 |
211.07 |
1139.2 |
1056.4 |
1059.4 |
3 |
1415.0 |
1 1056.4 |
5996.0 |
5825.6 |
4 |
1428.5 |
1059.4 |
5825.6 |
6007.3 |
principal component
|
1
|
2
|
3
|
4
|
eigen values |
0.899 |
0.068 |
0.020 |
0.013 |
|
1 |
-0.169 |
0.094 |
0.977 |
0.086 |
2 |
-0.133 |
-0.988 |
0.072 |
-0.007 |
3 |
-0.690 |
0.084 |
-0.189 |
-0.694 |
4 |
-0.691 |
0.083 |
-0.065 |
0.715 | Table 5 shows that after
the principal transformation the information of vegetation or vegetation
index basically gather to the first principal component the first
principal component image has greatly reveled the difference between
various types of vegetation which can be effectively distinguished by
the image segment technology in processing the pixels with the same
characteristics get the incontinently the pixel on the region should be
similar to each other and some variable characteristics of the pixels
vary from one region to another therefore the edged can be made out.
The segment to some honogeneouse attribute PK of a two
dimensional image point matrix X(1,J) is to divide X into some non
subsets X11,X2,X3…,Xk. They meet the conditions follows:
Eq. The method to give a
threshold is used in image segment the value of thres hold operator Tk
determined according to the histogram map :
Eq. In order to draw the
outline of the edges horizontal and vertical direction should be examed
at the same time.
Eq. The first principal image
segment is completed by the new developed function SEGMT thresholds
divide the image DN value region in to 9 parts the computer scans and
searches one by one and in the meantime prepared color values are given
by this way we successfully get color images according to threshold
segment checked with the vegetation map of Chifen inner Mongolia the
types of land cover which the various colors in the segment image stand
for are shown on table 6.
Table 6. Image segmentation for the first principle
component of multi-temporal vegetation index VI.
D N |
0-32 |
32-64 |
64-96 |
96-128 |
128-160 |
160-192 |
192-224 |
224-254 |
254-255 |
Color |
dark green |
apple green |
blue green |
pea green |
light yellow |
brown yellow |
dark yellow |
red |
magenta |
Vegetation cover-type |
forest or shrub |
alpine grass land |
meadow |
grass land |
deyenerate grass land |
crop land |
bare land | Segment of single
spectral image is equal to the classification of multi spectral image .
Especially for forest and grass land region with background more unitary
and objects largely continuous the segmentation result of the principal
component image has obvious classification significances segment image
are the authentic accords of the distribution of forest or brush in the
section of great Xinggan Mts. and Mountain QiLaoTu.
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431) 1980.
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vol. I ,1983.
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