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 *