Page 222 - Digital Analysis of Remotely Sensed Imagery

186 Cha pte r F i v e

z
O (center of lens)

f
y
o c
a
(x a ,y a ) b
x

C

A O′
(E ,N ,H )
A
A
A
B

Z (H)
Y (N)

X (E)
FIGURE 5.20 Relationship between the coordinates of point a (x , y ) on the
a
a
image and A (E , N , H ) on the ground.
A A A
that the projection center O of a central perspective image (e.g., the
center of the camera lens), an object point on the ground A, and its
photographic image a lie in a straight line.

rE − E ) + r ( N − N ) + r ( H − H )
(
x − x = − f 11 A O 12 A O 13 A O (5.25)
+
+
a 0 r (E − E ) r (N − N ) r (H − H )
(
31 A O 32 A O 33 A O
rE − E ) + r ( N − N ) + r ( H − H )
(
y − y = − f 21 A O 22 A O 23 A O (5.26)
+
+
a 0 r (E − E ) r (N − N ) r (H − H )
(
31 A O 32 A O 33 A O