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Aerial Mapping Camera
Calibration Report
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JENA LMK 2015 No. c272310C
Lens No. 7390611
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USGS Report No. OSL/2886
United States Department oí the Interior
u.s. GEOLOGICAL SURVEY
Reston, Virginia20192
REPORT OF CALIBRATION
of Aerial Mapping Camera
December
Camera serial no.:
Lens serial no.:
Maximum apertura:
Test apertura:
Camera type: Jena LMK 2015*
Lens type:
Jena Lamegon PI/D
Nominal focal length: 153 mm
Submitted
by:
Aviones S.A. de C.V.
Col. Federal, Mexico
Reference:
:
Consu1toria International
facture No. 407834, datad
4, 2002
272310C
7390611D
f/4
f/4
Casa de Cambio Recibo
December 2,2002.
These measurements were made on Kodak Micro-flat glass platas, 0.25 inch
thick, with spectroscopic emulsion type 157-01 Panchromatic, developed in D-19
at 68° F for 3 minutas with continuous agitation. These photographic platas
were exposed on a multico11imator camera calibrator using.a white light source
rated at approximately 5200K.
r.
Calibrated
Ir.
Lens Distortion
Focal Length:
152.199
mm
1,
I
I
I
Field
angla:
symmetric radial (um)
Decentering
(um)
7.5°
15°
22.7°
30°
35°
o
O
O
O
1
1
2
1
2
1
Decentering
distortion parameters
symmetric radial
distortion parameters
10-5
0.3562 x
-0.6839 x 10-8
10-12
'., ,"",.C"I{2""'i'"'==""""~""'O¡';;"4'5'9
8""'.%
KO
K..1.
K3
K4
=
=
=
=
0.0000
0.0000
Pl
P2
P3
P4
=
=
0.8550 x 10-7
0.9529 x 10-7
0.0000
0.0000
40°
-2
2
Calibrated
principal
xp
Yp
=
point
-0.008 mm
-0~008 mm
",~","=""'H'."
The values and parameters for Calibrated Focal Length (CFL), Symmetric Radial
Distortion
(KO,Kl'K2,K3,K4)' Decentering Distortion (Pl'P2,P3,P4)' and Cali-
brated Principal Point [point of symmetry] (Xp,yp) were determinad through a
least-sguares Simultaneous Multiframe Analytical Calibration (SMAC) adjustmento The x and y-coordinate measurements utilizad in the adjustment of the
above parameters have a standard deviation (o) of ~3 microns.
* Eguipped
with Forward
Motion
Compensation
( 1 of
5 )
USGSReport
III.
No. OSL/2886
Lens Resolving Power in cycles/mm
Area-weighted
average
resolution:
Field-angle:
0°
7.5°
Radial Lines
Tangential línea
95
95
95
80
83
15°
80
80
22.7°
67
67
30°
35°
40°
95
80
95
80
95
80
The resolving power is obtained by photographing a series of test bars and
examining the resultant image with appropriate magnification to find the
spatial frequency of the finest pattern in which the bars can be counted with
reasonable confidence. The series of patterns has apatial frequencies freID 5
to 268 cycles/mm in a geometric series having a ratio of the 4th root of 2.
Radial línea are parallel to a r~dius from the center of the field, and
tangential línea are perpendicular ~o a radius.
IV. Filter parallelism
The two sur faces of the Jena 405 filter No. 275577, the 490 filter No. 275589
and the 530 filter No. 275593 accompanying this camera are within 10 esconda
of being parallel.
The 490 filter was usect for the calibration.
V.
Shutter
Calibration
Indicated time
(see)
Rise time
Fall Time
(J.I see)
(J.Isee)
1/125
1/250
1/500
1/1000
1651
817
429
220
1710
812
428
221
width time
(ms)
12.39
5.97
3.08
1.51
Nom. speed
Efficiency
(sec.)
(%)
1/90
1/185
1/355
1/725
91
91
91
91
The effective exposure times were determined with the reos at aperture f/4.
The method is eonsidered accurate within 3 percent.
The teehnique used is
Method I described in American National Standard PH3.48-1972(R1978).
VI.
Magazine
Platen
The platens mounted in LMK-K 24/120 film magazines No. 273414C and No. 273417C
do not depart from a true plane by more than 13 um J.Q.d2Q9.?.".4,n
L...~~._,"""."",-,-,,,
These film magazines are equipped with identification
ter "273414" for magazine No. 273414C, and "273417"
in the film edge for each exposure.
markers that will regisfor magazine No. 273417C
( 2 of 5 )
uses Report No. OSL/2886
VII.
d
a
t
a
s
t
r
i
p
principal
points
and Fiducial
7
3 (900)
2 (1800)
"
5
s
i
d
e
Coordinates
/
A
"D
/
"/
"/
"/
"/
"- /
X PPA
B
6
/. "/
"/
"/
"/
"/
C
"/
"8
1 (0°)
4
Positions of all points are referenced to
the principal point of autocollimation
(PPA) as origina The diagram indicates
the orientation of the reference points
when the camera is viewed freIDthe back,
or a contact positive with the emulsion
up. The data strip is to the left.
(270°)
y coordinate
X coordinate
-0.005
Indicated principal point, cerner fiducials
Indicated principal point, midside fiducials
Principal point of autocollimation
(PPA)
Calibrated principal point (pt. of sym.) x p ,yp
Fiducial
Distances
.
0.0
-0.008
Marks
1
2
3
4
5
6
7
8
VIII.
0.001 mm
0.002
0.0
-0.008
mm
-0.002
Between
-110.009
109.998
-110.005
109.999
-112.009
112.012
-0.002
-0.003
Fiducial
-109.996 mm
109.998
109.995
-109.996
0.000
0.004
mm
111. 982
-111. 981
Marks
Cerner fiducials (diagonals)
1-2: 311.128 mm
3-4: 311.123 mm
Lines joining these markers intersect at an angle of
90° 00' 12"
Midside fiducials
5-6:
224.021 mm'-'-7=81-'~>.ZZT:'9'6'3"'"'i'ñÍII
Lines joining these markers intersect at an angle of 89° 59' 56"
Cerner fiducials (perimeter)
1-3: 219.991 mm
1-4: 220.008 mm
2-3:
2-4:
220.003 mm
219.994 mm
The method of measuring these distances is considered accurate within 0.003 mm
Note:
For GP~ applications,
plane is 241 mm.
the nominal entrance
pupil
distance
freID the focal
( 3 of
5 )
USGS Report
IX.
stereomodel
FMC Magazine
Platen
OSL!2886
Flatness
273414C
No.:
ID:
No.
BasejHeight
273414
Maximum
0.6
ratio:
angle
of
field
40°
tested:
r----
d
I
I
I
I
I
a
t
a
s
t
-2
1
I
r
i
p
-5
9
2
I
I
s
4
-6
I
i
I
d
e
I
-6
'2
I
Stereomodel
Test
(values
The values
negative
based
on
shown
scale)
comparator
film
exposures.
to modele
X.
System
Area-weighted
on
for
the
two
diagram
are
the
computer-simulated
measurements
These
Resolving
average
point
array
n micrometers)
on
measurements
Power
on film
average
departures
stereo
modela.
4425
Kodak
can
in
vary
by
copy
film
as
much
made
as
Fieldarigle:
0°
7.5°
Radial Lines
Tangential línea
48
48
48
48
freID
Kodak
~ 5 pm fraro
(a~
are
1~Q5
m~~el
cycles/mm
43
resolution:
freID
flatness
The
values
Film:
15°
48
40
22.7°
48
40
Type 2O5
30°
35°
40:
48
40
48
40
40
34
( 4 of
5 )
"..:."",~~
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USGS Report
IX.
stereomodel
FMC Magazine
Platen
ID:
:~:' .~.,é:
No. OSL/2886
Flatness
No.:
Base/Height
273417C,
273417
Maximum
ratio:
angle
0.6
of field tested:
40°
r---------
d
a
t
a
I
-1
-2
I
I
3
s
t
I
I
r
i
p
-3
6
1
I
I
-1
I
s
i
d
e
I
-2
1
I
I
Stereomodel
Test point array
(values in micrometers)
The values shown on the diagram are the average departures freIDflatness (at
negative scale) for two computer-simulated stereo modela.
The values are
based on comparator measurements on contact glass (Kodak Micro-flat) diapositives made freIDKodak 2405 film exposures. These measurements can vary by as
much as ~ 5 pm freIDmodel to modelo
X.
Lens/Film
Resolving
Area-weighted
average
Power
in cycles/mm
resolution:
42
Film:
Fie1d angle:
0°
7.5°
15°
Radial Lines
Tangential liDes
48
48
48
48
48
.40
22.7°
48
40
Type 2405
30°
35°
40°
48
40
40
40
40
34
This aerial mapping camera calibration report supersedes the previously issued
USGS Report No. OSL/2697, dated November 6,2000.
(j~
r.
~
Bradish F. Johnson
Senior Optical Scientist
National Mapping Division
---