# Full text: Proceedings of the Symposium on Global and Environmental Monitoring (Part 1)

```801
tangential distortion and irregularity of scan mirror rotation are
corrected.
In order to utilize the pho tograrnme tr i c principles, an assumed
focal plane( Pl-Pl ) and an assumed principal distance(f) are
introduced as shown in Fig.l. It is supposed that one bundle witii
off-nadir angle (0) is projected on Pl-Pl with photogrammetric
coordinate of (x,y), which corresponds to image coordinate! I pixel,
J line ). Let x direction to be the same as the moving direction of
satellite.
where
x = f•tan £/ cos 9
y = f•tan( 9 + P )
9={I-(N + l)/2}-40 (1)
K = MOD( J - 1, 6 )
i = ( K - 3.5 )■ 40
4 <\$ : IFOV on x direction
A0 : IFOV on y direction
v : angle deviation caused from
the irregularity of scan mirror rotation
N : the number of pixels per line
I : pixel number
K : detector number
Colinearity equation is expressed as below using ground
dinate system ( X,Y,Z ) and rotation angles ( pitch : <f> , row
yaw : K ). I see Fig.2 ]
x = _ f "n ‘ ( x - Xo(L))+b i2 » (Y - Yo(L))4ia 13 . (Z - Z o(L))
n 3 i • (X - Xo(L))+b 32 • (Y - Yo(L))+b 33 • (Z-Zo(L))
y . _ f p 2i • (X - Xo(L))+b 22 ♦ (Y - Yo(L))ui 2 3 • (Z - Zo(L))
“it * (X — X o (L))+b 32 • (Y - Y o(L))+n 33 • (Z - Zo(L))
m,,
B| 2
B t 3
B 2 i
B 2 2
® 2 3
m 3 1
d 32
®33
coor-
• u) .
(2)
(3)
1 0 0
0 C0S Ci) Sina)
0 -sino) COSO)
COS0 0 -sin0
0 1 0
Sin?5 0 COS
COS K Sin yf 0
-sin^: cos* 0
0 0 1
Bt )
z
COS ^
• COS K
B 2 i
Z
“COS Cl)
• sin*
®3t
Z
sin 0)
• sin *
B 1 2
Z
COS 0
• sin*
®?2
Z
COS O)
• cos *
® 3 2
®1 3
z
-sin O)
-Sin 0
• cos *
B 2 3
z
sin Cl)
• cos 4>
® 3 3
z
COS Cl)
• COS (p
+
S i n Ci)
• sin ^
• cos*
+
COS Ci)
• sin \$
• cos*
+
sino)
•sin 56
• sin *
+
COS Cl) -
• s in <t>
• sin *
```

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