V A Priori Model Imaging Model Empirical Accuracy 
Image Chk Pts Ctl Pts 
[Pix] [um] PT Distortion J [Pix] [um] [um] 
Jen | OxY | ez E[a|s|K |K|P |P || 60| pe | un (| uxy | pz | exv | pz 
0 || 0.17 3.0 | 8.0 || - -|-|-|- - - - 205] 13| 1.6 6.8 | 30.1 8.4 | 26.1 
1 || 0.03 30F50]:x ] x {x | -|.x x x | x || 0.13 | 0.10 | 0.07 3.5 | 16.1 3.8 | 16.7 
2 || 0.12 3.0 | 5.0 X xixli-] x x x | x 0.14 | 0.10 | 0.08 3.5 | 12.0 4.0 | 9.6 
3 X x 1x] - - - - 0.17 | 0.11 | 0.08 4.0 | 15.8 3.7 | 18.9 
4 X = x|x| x x x x 0.15 | 0.10 | 0.08 3.8 | 10.4 3.5 | 12.3 
5 || 0.17 3.0 | 8.0 || x xIx|-] - - - - 0.20 | 0.12 | 0.15 3.8 | 6.8 3.5 | 6.7 
6 X xIixixl.- - - - 0.16 | 0.10 | 0.08 3.8 | 10.4 3.6 | 12.4 
7 x Xx Je - - X x 0.15 | 0.10 | 0.08 3.9 | 10.5 3.6 | 12.5 
8 x xixl-| x x - 0.19 | 0.11 | 0.14 4.3 | 6.5 3.8 | 6.8 
Table 1: Calibration versions using various estimation and imaging models. 
(A) 
(81) N (B2) "^ 
20 204 
f 10, i 10d 
E 
= 0 — 0 1 
3 3 
i 10 ' 3 10 i! | | | 
S N | Te I un Ih F 
-20., -20., | | || | | 
-30 30 
-1000 -1000 
0 0 
1000 SE TOM V T^ boo 2000 1000 C. (OQ ND 1000 2000 
X [microns] Y [microns] X [microns] Y [microns] 
(C1) 304 (C2) 30., 
20 20 
P 10, I 104 
2 04 = 0 ini | | 
3 3 
3 1h | | | N 
Ls 3-4 | TH | | | 
-20.| -20.| 
IN -30.| 
-1000 -1000 
0 0 
1000 ES ee 1000 2000 1000 rm 0 “1000 2000 
X [microns] Y [microns] X [microns] Y [microns] 
Figure 5: (A) Theoretically predicted deformation of two parallel planes in the object space when not compensating CMO 
distortion. (B) Vertical residuals of version 3 in table 1 not compensating for CMO distortion and (C) those of version 8 
compensating for CMO distortion. (?1) residual field at the lower border, (?2) at the upper border of the depth of field. The 
vectors at the right side of the drawings are the overall projection of the residuals along the Y axes of the object space. 
106 
International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B5. Vienna 1996 
1 
2 
[A] 
IAl/oj, 
Table 2 
  
  
the vertical one is 
the micrometer tal 
ative position for r 
In the future, using 
has to be measure 
a homogeneous 3l 
The imaging mod 
into the weak per: 
tortion function 6, 
investigating empi 
the object space. 
In version 0 no pe 
are estimated. Th 
manufacturer. Tk 
versions clearly de 
ibration. Versions 
estimation proced 
In version 1, ve, i 
too optimistic val 
justment in versio 
further adapted to 
Version 3 to 8 cc 
terms. The imag 
sponds to the stan 
vision ([Faugeras 
my case modified. 
pleted by terms th: 
in the image spac 
tortion terms well 
introduced. Both i 
curacy with respec 
of version 4 provid 
However, version E 
curacy is mainly a 
vertical accuracy is 
when the new tern 
Figure 5 contrasts 
8. Not correcting 
deformation of the 
theoretically predic 
is perfectly verified 
ures 5-C1 and 5-C: 
term E the vertica 
vertical precision li 
Inte