rotation Blumenthal 1987
of photos
without with
selfcalibration | selfcalibration
Sx Sy Sz Sx Sy Sz
0 8 7.32 8 8 23
2 grads 13:12 37 13 13 29
5 grads 8 835 8.825
7 grads 10 9 39 9.9 35
10 grads 9 8 38 10 10 41
Table 4: mean square differences of the ground
coordinates [mm] determined by bundle
adjustment with the quasi photo coordinates in
relation to the reference adjustment depending
upon the rotation of the quasi photo coordinates
im Blumenthal
[sx
Bl s
© sz
0 2 5 7 10
Fig. 9: mean square differences of the bundle
adjustments depending upon the rotation of
the quasi-photo coordinates
- Block Blumenthal without selfcalibration
im] Blumenthal
[sx
Bv
HB
0 2 5 7 10
Fig. 10: mean square differences of the bundle
adjustments depending upon the rotation of
the quasi-photo coordinates
- Block Blumenthal with selfcalibration
Corresponding to theresults of the block Jämijärvi
the rotations of the quasi-photos do have the
largest influence in the case of the block
adjustment with selfcalibration. The effect to
the horizontal coordinates is limited but
nevertheless also without artificial rotations the
differences of the adjustment are reaching 505
588
of the standard deviations of the reference
adjustment. In the case of the height the
differences to the reference adjustment are
reaching and exceeding the size of the accuracy
of the reference adjustment. This is corresponding
to the loss of accuracy of block adjustments with
independent models in relation to bundle block
adjustments determined in practical applications.
4. Conclusion
Model coordinates can be transformed into
quasi-photo coordinates by the program system
BLUH and be used for a bundle block adjustment.
The quality of such an adjustment is corresponding
to the block adjustment by the method of
independent models. Like in the case of the
independent models the loss of the information
of the y-parallax is reducing the reliability and
also the accuracy. In addition the systematic
image errors are smeared in the model and of
course also in the back transformed quasi-photo
coordinates. The exact information about the
principal point will be lost during the calculation
of the model coordinates, this is causing an
additional smearing effect. Corresponding to this
the loss of accuracy is increasing with the size
of the random nadir distance of the photos. This
effect willbe seen especially by block adjustments
with selfcalibration by additional parameters.
The loss of accuracy caused by the use of model
coordinatesfortheblockadjustmentisunimportant
in the case of a data aquisition with analog
instruments - in this circumstance the limited
accuracy of the data is dominating the adjustment.
But if analytical plotters are used, the registration
and use of model coordinates will lead to an
unnecessary loss of accuracy, especially for the
height. The photo coordinates should be recorded
and used by bundle block adjustment with
selfcalibration by additional parameters. The
data handling in modern bundle block adjustment
program systems is more flexible and not more
complicate than the data handling with
independent models.
References
Pollak, B., 1990: Biindelblockausgleichung mit
Modellkoordinaten, diplomathesis University
of Hannover 1990
Jacobsen, K., 1982: Attempt at obtaining the best
possibleaccuracyinbundleblock adjustment,
Photogrammetria 1982, pp. 219-235
Wenck, U.-H., 1991: Einfluß unterschiedlicher
Bildorientierungen auf die Bündelblockaus-
gleichung mit Modellkoordinaten, diploma
thesis University of Hannover 1992
S
Se