Sdrtryck ur Svensk Lantmdteritidskrift nr 3 1964 
Control and Correction of deviation between 
the Image Plane and the Plane of the 
Camera Frame 
Kennert Torlegard, Division of Photogrammetry 
R. Inst, of Technology, Stockholm 
Introduction. 
A photogrammetric camera is defined as a camera which has a 
known and constant inner orientation. The reconstruction of the 
bundle of rays depends upon the data of inner orientation. The data 
should refer to the image and are not necessarily the same as that of 
the camera. If the image plane does not coincide with the plane of 
the camera frame the equivalent principal distance of plotting and the 
principal point must be computed. If glass plates have been used and 
the images of the fiducial marks are the shadows of the frame at the 
moment of exposure, corrections to the inner orientation can be de 
termined from the distorted image of the frame. This method was. 
used by S. Finsterwalder [1]. 
Formulas. 
Variables and constants are as shown in fig. 1. According to Hallert- 
Ottoson [2] the complete projective relations between planes in the 
photography case are 
•VCOS^COSk + y(sin<oSin^COSK + COSwSin«) 
x t c /i(sina>sinK COSwsin^COSK) 
X sin?) + y sincoCOSy? + h COSuCOSf 
-rCOS^sinK + y(cOS<DCOSK sinosin^sillK) — 
' c /i(cOS<oSiny>sinK + sinwCOSK) 
X sin^ + y sinwCOS^P + h COSwCOS(p 
Momentarily setting k = 0 these formulas become 
X COS(p + y sinw sin^p + h COSco sin^J 
J( r — Q 
X sin^J + y sinw COS <p + h COSw COS(p 
y costo — h sin<o 
V = c : r — jTT 
— x smp + y sinw cos^p + h cos<o cos<p 
x' = 0, y' = 0 are the coordinates of the principal point H'. 
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