Standard error of y-parallax measurements
We assume a nearly flat model approximately orientated in a photo.
grammetric instrument.
At the fifteen points of Fig. 3 the y-parallaxes are measured in a way
appropriate to the instrument. From repeated measurements at each point
the ‘pointing’ standard error can be determined.
Fig. 3 illustrates the neat model area. The points 31 and 33 are the nadir
points of the two pictures of the model.
The measured y-parallaxes at the fifteen points are denoted pyy, py, . . . py,
From an adjustment of the y-parallax measurements by the method of
least squares we obtain the following expression for the sum [vv] of the residuals
after the adjustment.
1. Six orientation points, 31, 33, 51, 53, 11, 13
[vv] = + (2P31 — 2P33 — Ps1 + Pss — Pur + Prs)”
and the standard error of one measurement: p = J [vv]
1
2. Nine orientation points, 31, 32, 33, 51, 52, 53, 11, 12, 13:
[vv] e + (2pa1 — 2Pss — Psi -- Pss — Du pia)*
+ i (Psi + Pss — 2P52)* + t Da + Das — 2pa + i (Pu + Pis — 2P1)*
3. Fifteen orientation points:
f
[vv] = [pp] - is p]? "T gi + irn + P13— Par + Pas — Pai + Das — Par + Pas
12 i L
— Du T Pss f — 36 | 20u T Piso Pas — Psi — Psa — Ps3)
)2
+ Da + Poe + Pas — Par — Paz — Pu
|f s
— 120m — Pis — Psi + Pss) + Pas — Pas — Pa + Da
f
L7 E. Qm + P12 + Pis — Ps — Pasa — Pas d Ps d Pa + Pa)
1 2
+ par + Poe + Pas + Par + Pas + Pas |
zu f»
10
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