Here, PSF(x) : Point spread function (normalized).
Ib ='1(-0) = RBb>+:"CCP count'of the’ black part of the
airphoto signal.
Iw = I(+o ) = Rw : CCT count of the white part of the
airphoto signal.
Point spread function can be calculated from I(x)
PSF(x) = ILI eder (35 (5-4)
Here, I(x), Ip and EB: ean obtain from CC eurve, i.e, PSF'can
calculate from only observed image data.
6. A constraint condition formula
As for flying direction, PSF is broadened by the moving of the
satellite through the accumulation as mentioned in section 2. A
constraint condition formula on observed image I(x) will be
derived. The effect of moving is expressed as follow.
PSF (x) =f 20/2 PSFO(x!') dx! (6-1)
x-b/2
Here, PSFO(x) : PSF, assuming the sensor dose not move.
Differentiating and using PSFO(x)—0 (x—-oo), PSFO(x) can
calculate from PSF(x)
oO
PSFO(x) z7X.:-- PSF(x-b/2-j*b) (6-2)
j=0 dx
Using PSF0O(x)—0 (x >+wæ),
+ co d
LX. Qe PSR(eg D) = 4 (6-3)
j=-c
As |(a/ax)PSF(x)| —0 (|x|—w ), (6-3) can be written in finite
expression.
+m d
HESS dx PSF(x*j*b) = 0 (6-4)
j=-m
Here, m and x are supposed m>>b and x<<m.
Substituting (5-4) into (6-4) and integrating twice,
+m
X IGeq*b)s gtx +B (6-5)
j=
Here, A and B are integration constant.
Subtracting (6-5) from (6-5) substituted x+1 in x, value of
constant À can be calculated as À = I(x+(m+1)*b) - I(x-n*b) =
Iw-Ib. So, (6-5) is expressed,
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