Appendix C1
PROVISIONAL SPACE COORDINATES
Two known points atthe same height assumed, this height taken
as datum for simplicity. It is required to find the rest and the
camera station (U,V,w).
If general pt has space coords (X5»Y52), photo coords (x,y),
then write -
Wi =
2 2X + iy
le Now, treating photos as untilted, one has, for photo pts in
datum * plane -
W = pz + Q where p is height and scale factor [Wei6]
and q is principal Plos000 00000008 f
[U+iv ]
But pz W4 - Wo
17 7o
7 = 121, NES
Zz - Zo
Hence U z R["2?4 " "422
21 - 292
Ü
Again X -R = 7% Wo ' + U
|
for a pt in a datum plane Z2 = O
: w, - W
t 2 = t: -. 1 2 Z + U
ind X Ipzp z' R DT
e 2
Yo Yt! =
Ye Il(a q)p'z'] 1| v, Wor | ov
I [pzp'z'] 217 72
er \nt 51
2 = I[(pz * q-a')p'z ] W for a general pt, where -
I[pzb'z!'] bars denote complex conjugates
dashes the values for the
adjacent photograph.