-;

USGS Report No. 'OSL/3268

United States Department of the InteriorU.S. GEOLOGIC.tU- SURVEY

Reston, Virginia 20192

REPORT OF CALIBRATION

of Aerial Mapping Camera

October 24, 2006

Camera type:

Lens type:Nominal focal

Zeiss RMK Top 15*

Zeiss Pleogon A3/4

length: 153 mm

Camera serial no.:

Lens serial no.:

Maximum aperture:

Test aperture:

14998'4

150634

f/4

f/4

Submitted by: Midwest Aerial PhotographyHilliard, Ohio

Reference: Midwest Aerial Photography purchase orderNo. 41507, dated October 24, 2006.

These measurements were made on Agfa glass plates, 0.19 inch ·thick, with

spectroscopic emulsion type APX Panchromatic, developed in D-19 at 68° Ffor 3 minutes with continuous agitation. These photographic plates wer,e ·ex­

posed on a multicollimator camera calibrator using a white light -sou:!:'cerated

at approximately 5200K.

I. Calibrated Focal Length: 152.663 mm

II. Lens Distortion

Field angle:

Symmetric radial (urn)

Decentering (urn)

7.5°

-1o

15°

-2o

22.7°

-31

30°

-32

35°

-13

4,0°

35

Symmetric radial

distortion parameters

Decentering

distortion parameters

Calibrated

principal point

KO=0.6219 x 10-4

PI=-0.1296 x 10-6

K1

=-0.2520 x 10-8P2

=-0.2565 x 10-6

K2

=-0.1574 x 10-12P-

=0.0000,j

K3=0.0000

P4=0.0000

K4

=0.0000

xpyp

0.008 mm

0.01·0 mm

The values and parameters for Calibrated Focal Length (CFL) , Symmetric Ra·dial

Distortion (KO,K1,K2,K3,K4)' Decentering Distortion (P1,P2'P3,P4), and Cali­

brated Principal Point :[point of symmetry] (x, y ) were -determined through ap pleast -squares Simultaneous Multi frame JI.nalyti'Cal'Calibration .(SMA,C) .adjust-

ment. The x and y-coor'dinate measurements utilized in the adjustment of the

above parameters have a standard deviation (0) of ±3 microns.

* Equipped with Forward ,Moti<on<Compensation( 1 -of '4 )

USGS Report No. cOSL/326-8

III. Lens Resolving Power in cycles/mm

Area-weighted average resolution: 109

Field angle:

Radial Lines

Tangential lines

0°

134

134

7.5°

159

159

15°

134

113

22.7°

113

113

30°

113

113

35°

9595

4,0°

9595

The resolving power is obtained by photographing a series of test bars and

examining the resultant image with appropriate magnifi,cation to find the

spatial frequency of the finest pattern in which the bars can be <oun&ed withreasonable confidence. The series of patterns has spatial frequencies from Sto 268 cycles/mm in a geometric series having a ratio of the 4th ~oot of 2.Radial lines are parallel to a radius from the center of the field, andtangential lines are perpendicular to a radius.

IV. Filter Parallelism

The two surfaces of the Zeiss KL-F (36%) filter No_

camera, and the USGS TOP 15 test filter KL-F (60%)

seconds of being parallel. The USGS test filter,internal nB" filter, was used for the calibration.

151494 accompanying thi'sNo. 142399 are within 1~

in conjuncti-on with the

V. Shutter Calibration

Indicated time

Rise timeFall Time~ wi-dth timeNom. SpeedEf'fici,ency(sec)

(11 sec)(11 sec)(ms)(sec. )(%)

1/100

4113382511.361/110781/200

190719165.541/230781/300

115211733.561/3'50801/400

8998882.661/470791/500

7067042.091/61079

The effective exposure times were determined with the lens a't aperture f/4.

The method is considered accurate within 3 percent. The technique us,ed isdescribed in International Standard ISO 516:1999(E).

VI. Magazine Platen

The platen mounted in T-MC film magazine No. 15061£ does not depart from atrue plane by more than 13 urn (0.0005 in).

The platen for this film magazine is equipped with an identification marker

that will register n151222n in the data strip ar,ea for ,each .exposure.

" .20£ 4 )

USGS Report No. OSL/3268

VII. Principal Points and Fiducial Coordinates

d 3 (90 0) 7 2 (180°)ata

str 5ip

sid

'"D/

"-/" /" /

"-

/'"

/"-

/A

X PPAB 16/ '"/ '"/ "/ "/ "/ C"-

/ '"

Posi tions of all points ar,e ref,erenced to

the principal point of autocollimation(PPA) as origin. The diagram indicates

the or~entation of the ref€rence pointswhen the camera is vi.ewed from the back,

or a contact positive with the €mulsionup. The data strip is to the left.

e 1 (0°) 8 4 (270°)

X coordinate Y 'coordinate

Indicated principal point, corner fiducialsIndicated principal point, midside fiducials

Principal point of autocollimation (PPA)

Calibrated principal point (pt. of sym.) ~,Yp

Fiducial Marks

123

45678

VIII. Distances Between Fiducial Marks

.0.019 mm0.007

0.00.008

-112.986 mm

113.018-112.982

113.019

-112.972113 .025

0.019-,0.005

0.008 mm0.003

0.00.01.0

-112.991 mm

113.000

113.{)07

-112.991o AnO

-0.004112.998

-112.988

Corner fiducials (diagonals)1-2: 319.608 mm 3-4:

Lines joining these markers intersect at

319.611 mm

an angle of 90° 00' 08"

Midside fiducials

5-6: 225.997 mm

Lines joining these markers

7-8: 225.986 mm

intersect at an angle of 8'9° 59' 51"

Corner fiducials (perimeter)1-3: 225.998 mm

1-4: 226.005 mm

2-3:2-4:

220.000 mm

225.990 mm

The method of measuring ,these distances is considered a,ccurate within Q .0-03mm

Note: For GPS applications, the nominal entrance pupil distance from the focal

plane is 254 mm with a 10 mm filter thickness. Additi-onal filt,er thickness

will increase entrance pupil distance by 0.34 X adced thi,cknes's.

3 ,of 4 )

USGS Report No. OSL/32E8

IX. Stereomodel Flatness

2

o

FMC Magazine No.: 150616

Platen ID: 151222

data

strJ.

p

side

r--­I -10I

I

I

I

I

I

I

I

I

II

6

8

3

Base/Height ratio: 0.6

Maximum angle of field tes·t;ed: 40°

1

-1

-9

Stereomodel

'Test point array(values in micrometers)

The values shown on the diagram are the average departures from flatness (at

negative scale) for two computer- simulated stereo models. The values ar>€

based on comparator measurements on Kodak 4425 copy film made from Kodak 2405film exposures. These measurements are considerced accurate to within 5 J-Lm.

X. System Resolving Power on film in cycles/mm

Area-weighted average resolution: 53 Film: Type 2405

Field angle:

Radial Lines

Tangential lines

0°

6767

7.5°

67S7

15°

5757

22.7°

S757

30°

57

57

3S0

4848

40°

48

40

This aerial mapping camera calibration report supersedes the previously issued

USGS Report No. OSL/2941, dated May 6, 2003.

f) y~~~J .fGregory~. Stensaas

Remote S.ensing Technologies ·pr-oje.ct·Manag.er

Geography Dis;cipline

4 >cf4 )