EZ SOIT
It is shown from table 3 that the influence of
lens distortion for three cameras are considera-
ble.The camera "seagull" DF-1 135, consisting of
six pieces of four groups of lenses, belongs to a
good quality of amateur camera in China, but its
distortion influence is 3 times bigger than that
of MAMIYA of Japan and bigger than that of
“seagull” 4D 120 too. If these cameras are
immediately applied to photogrammetry such as
stereophotogrammetry, the accuracy of determined
object point is low from the computational results
using the estimation formula of stereophotogramme-
tric accuracy AY=Y2.mp /Bf and letting Y-10m,
B=1.2m and m, =3r(table 4). Consequantly, the lens
distortion must be calibrated and corrected in
photogrammetry in order to expand the practical
value of non-metric camera.
Table 4 Stereophotogrammetric Accuracy Using
the Non-metric Camera Immediately
Model of Ay Y Relative
camera (mm) (m) accuracy
MAMIYA C330 144 10 1/69
Seagull DF-1 422 10 1/24
Seagull 4D 231 10 1/43
2.3.2 Analysis of the average principal
distance and lens distortion of non-metric camera:
The average principal distance (f) and lens
distortion coefficient (kl) for two kinds of
camera can be obtained from table 1 and 2, the
standard errors (m, and my, ) are estimated from
the difference between average and each
computational value, and the biggest displacement
(5rm=Mu, (X-Xo)r2) due to the standard errors of
distortion coefficient are derived. The results
are in table 5.
Table 5 Results After Correcting by Mean
Distortion Coefficient
Model of Eo iM Bp m(k1) rm
camera (mm) (:1075) (mm) (:1075) (mm)
"Seagull"DF-1 58.814 3.703 0.027 1.05 0.008
"Seagull" 4D 75.853 .5619 0.028 .548 0.019
The under knowledges could be found from above
tables:
(1) The changes of principal distance for two
cameras are near. The standard error of changes
are 0.027mm and 0.028mm respectively. The
coordinate error on photograph due to the change
of principal distance is 5x=0.007mm for camera
135, and $xz0.008mm for 120, estimated by formula
5xz(x/f)-mf.
(2) The changes of distortion coefficient (k1) of
film 135 in the process of photography for all
film roll are small. Comparing with the mean
distortion coefficient (k1), the standard error of
distortion coefficient changes (mkl) is decreased
by about 34 times. The biggest effect (6rm) of
remainder distortion after correcting all film
roll by mean distortion coefficient is only
0.008mm. While the camera after correction of
distortion is applied to stereophotogrammetry, the
error of determined points AY equals 11.4mm and
the relative accuracy can attain to 1/880 in
photographic distance 10m and base 1.2m.
(3) The changes of distortion coefficient for all
film roll in camera 120 are greater than that in
135. Comparing with the mean distortion
coefficient, standard error of these changes is
decreased by about 9 times. The biggest effect of
remainder distortion after correcting all film
roll by mean distortion coefficient is 0.019mm. In
same case, the error of determind points AY equals
21.1mm and the relative accuracy achieves to 1/470
while the camera after correction of distortion is
used for stereophotogrammetry.
(4) Generally speaking, it would seem that the
effect of the remainder distortion in camera with
greater lens distortion after correction is higher
than that in camera with smaller lens distortion.
But from our results,it is the contrary situation
that the accuracy of camera 135 after correction
is better than 120. The average residual of image
points obtained by residual of resection (table 1
and 2) is 0.007mm for camera 135 and 0.014mm for
120. The accuracy of the latter is lower than that
of the former by half. We suppose the reason may
be that the film 120 contains the bigger unequal
deformation. The film deformation is caused by the
expansion and contraction and unflatness
influences. The area of film 120 is larger than
that of 135 as stated above. Because there is not
the flattening device in non-metric camera, the
area suspended in air of film 120 in photography
is greater than that of 135 by three times
(John,1988),and the large areal unequality could
cause the large unequal deformation. Previously,
the equal deformation of film is only analyzed
with the change of frame span in middle part of
photograph and the simple ratio correction is only
added in computation. It appears that for camera
120, the unequal deformation of film has to be
considered further, and corrected by the affine
transformation using four or even eight
collimation marks.
3 CONCLUSION
~The accuracy of non-metric camera made in China
can be improved considerably by means of the prior
calibration to determine and correct the average
lens distortion and the film deformation. Thus by
this method, the non-metric camera could be
immediately applied to some photogrammetries with
middle and low accuracy, like the metric camera
with lens or without control points. Comparing
with calibration in operation, the way of the
prior calibration and correction could even more
contribute to the popular application of non-
metric camera.
The lightweight stereocamera developed by our way
has the characters of the uncomplicated structure,
the convenient utilization and the more stable
relative orientation (Wang,1988). It can be used
in measurements of the geology, the traffic
accident, the criminal scene, the simple and rapid
architecture and the small areal topography as
well as the seismology, having the wide prospect
of application to the close range photogrammetry.
Reference
(1) John,Fryer,1988,Lens Distortion and Film
Plattening: Their Effect on Small Farmal
Photogrammetry. In: Int. Arch. phtogramm. and
Remote sensing, Kyoto-Japan,Vol.27,part B5,
pp.213-222.
(2) Wang Li,Wang Qingting and Fan Qiulin, 1988,
The Lightweight Stereocamera and Its Application
to Seismology and Geology, In: Int. Arch.
photogramm. and Remote Sensing, Kyoto-Japan,
Vol.27, Part B5, pp. 365-372.