Camera Calibration Certificate No: DMC II
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1 Calibration DMC II Camera Calibration Certificate No: DMC II For Air Photographics, Inc Kelly Island Road MARTINSBURG WV USA Calib_DMCII _2014.docx Document Version 3.0 page 1 of 40
2 Camera: DMC II 230 Manufacturer : Z/I Imaging GmbH, D Aalen, Germany Reference: PAN Serial Number: (PAN Head) Date of Calibration: 28. February 2014 Date of Report: 15. March 2014 Number of Pages: Calibration performed at: Carl Zeiss Jena, Carl-Zeiss-Promenade 10, Jena, Germany. This camera system is certified by Z/I Imaging and is fully functional within its specifications and tolerances. Date of Calibration: February 2014 Date of Certification: March 2014 Jürgen Hefele, Senior Software Developer Dipl.Ing. Christian Müller, Product Management Calib_DMCII _2014.docx Document Version 3.0 page 2 of 40
3 Camera Serial Numbers and Burn-In flight Camera Head Serial Calib. Date Number PAN (reference) MS1 (NIR) MS2 (Blue) MS3 (Red) MS4 (Green) Burn-In flight performed: 28. February 2014 Test block configuration Photo Scale 1: Flying Height [m] AGL Flying Altitude [m] AMSL Run-Spacing [m] Base-Length [m] Number of 60 Exposures Side-lap [%] 30 End-lap [%] 60 Terrain Height [m] 450 Number of strips 6 Photos in one strip 2 x 10 N-S 4 x 10 W-E Photos Used 60 Control Points 5 Used Check Points 36 Used GSD [cm] 5 Calib_DMCII _2014.docx Document Version 3.0 page 3 of 40
4 Aerial triangulation statistic results: The results of the aerial triangulation were generated with ImageStation Automatic Triangulation (ISAT), Version 6.2, from Intergraph Z/I Imaging. The maximum RMS in check points is < 0.5 GSD in x,y and < 0.7 GSD in z. Aerial Triangulation performed by Dipl. Ing. C. Müller Date Calib_DMCII _2014.docx Document Version 3.0 page 4 of 40
5 Geometric Calibration The output image geometry is based on the Pan Camera head (reference head = master camera). All other camera heads are registered and aligned to this head. Aerial triangulation checks overall system performance based on. Output image Reference Camera PAN Serial Number Number of rows/columns [pixels] x Pixel Size [ m] x Image Size [mm] x Focal Length [mm] mm + / mm Principal Point [mm] X= mm, Y= mm + / mm The geometric calibration takes place at Carl Zeiss Jena on a certified test stand. More than 800 light targets, projected on 28 lines that are distributed diagonally on the focal plane, are automatically measured by finding their centers light with a precision of less than 1/10 of a pixel. The light targets are projected from the infinity by using a collimator (Figure 1). Figure 1: Light Target Pattern by Collimator Calib_DMCII _2014.docx Document Version 3.0 page 5 of 40
6 Geometric Calibration Image Residuals Figure 2 shows the image residuals, split in radial and tangential directions after the calibration adjustment. The maximum residuals are less than or equal to 1.5 microns and the RMSE values are below 0.5 microns. Figure 2: Tangential/Radial Distortion Residuals Figure 3 shows the 2-D plot of the image residuals in mm. Figure 3: 2-D Image Residuals. RMS < 0.21um (maximum microns) Calib_DMCII _2014.docx Document Version 3.0 page 6 of 40
7 Optical System Modulation Transfer Function, MTF of PAN Camera (Reference) RMK DX / DMC II PAN MTF Polychromatic F/5.6 ; 92 mm Temperature Stability The MTF measurement is camera type specific and shows variation of the MTF within the specified temperature range. This is a camera type specific measurement. Calib_DMCII _2014.docx Document Version 3.0 page 7 of 40
8 Relative Spectral Response DMC II 230 Calibration Sensitivity of PAN camera (Reference) 1.2 RMK DX, DMC II Relative Spectral Response rel. Sensitivity Wavelength [nm] The sensitivity shows the spectral response curve of the single camera head including the optical system (optics, filter) and the sensor response. The DMC II 230 is calibrated with respect to the absolute spectrometer. This allows computing pixel radiance values from pixels digital numbers and is a camera type specific calibration. This is a camera type specific measurement. Calib_DMCII _2014.docx Document Version 3.0 page 8 of 40
9 Sensor Linearity (Reference) The sensor linearity is measured in the Lab with calibrated spectrometer. This is a camera type specific calibration. Below figure shows the linearity of the raw sensor and after flat fielding: Senor Linearity The deviation from the linearity is below 1%. This is a camera type specific measurement. Calib_DMCII _2014.docx Document Version 3.0 page 9 of 40
10 Sensor Noise (Reference) Sensor noise shows image noise with respect to the image center measured at an aperture of 16 with exposure time of 16msec. Sensor Signal to Noise Ratio This is from a camera type specific calibration. Calib_DMCII _2014.docx Document Version 3.0 page 10 of 40
11 Aperture Correction (Reference) Camera PAN ( ) The light fall off to the border due the influence of the optics depends on the aperture used. Therefore this calibration approach delivers individual calibration images for each aperture (Full F-Stop). In general the light fall off is a function of the image height (radial distance from center). The figure below shows the profile from the upper left corner to the lower right corner of the calibration images. Compensation of the light fall off can be measured after normalization and is within ± 2.5% of the dynamic range. PAN DMC II 230 Light fall off and correction after normalization (blue) for PAN sensor This is from a camera type specific calibration. Calib_DMCII _2014.docx Document Version 3.0 page 11 of 40
12 Defect Pixel Camera PAN ( ) Defect pixels are detected during radiometric calibration and will be corrected during radiometric processing of the images. The quantity and cumulative percentage and specification of defects is described in Appendix Defect Pixel Recognition. Revision of calibration: CCDRevision: 1 Date Number: Date: Number of defect pixels: 52 Number of defect clusters: 0 Number of defect columns: 1 Nr Row Column Calib_DMCII _2014.docx Document Version 3.0 page 12 of 40
13 Defect Column RowStart ColumnStart RowEnd ColumnEnd Calib_DMCII _2014.docx Document Version 3.0 page 13 of 40
14 Optical System Modulation Transfer Function, MTF of Green camera RMK D / RMK DX / DMC II MS Green MTF F/4.0 ; 45 mm Temperature Stability +40 C 0 C +20 C -20 C Calib_DMCII _2014.docx Document Version 3.0 page 14 of 40
15 Relative Spectral Response DMC II 230 Calibration Sensitivity of Green camera Spectral response curve of the single camera head. 1.2 RMK D, RMK DX, DMC II 230 Relative Spectral Response rel. Sensitivity Wavelength [nm] The sensitivity shows the spectral response curve of the single camera head including the optical system (optics, filter) and the sensor response. The DMC II 230 is calibrated with respect to the absolute spectrometer. This allows computing pixel radiance values from pixels digital numbers and is a camera type specific calibration. Calib_DMCII _2014.docx Document Version 3.0 page 15 of 40
16 Sensor Linearity (Reference) The sensor linearity is measured in the Lab with calibrated spectrometer. This is a camera type specific calibration. Below figure shows the linearity of the raw sensor and after flat fielding: Senor Linearity from Light Level 0 (dark) to (100 % = Saturation) The deviation from the linearity is below 1%. Calib_DMCII _2014.docx Document Version 3.0 page 16 of 40
17 Sensor Noise (Reference) Sensor noise shows image noise with respect to the image center measured at an aperture of 8 with exposure time of 22msec. Sensor noise after calibration shall be less or equal 0.5% of radiometric resolution. At 14bit radiometric resolution 0.5% (of 16384) is equal to 82 gray values. This is a camera type specific calibration. Image Noise before and after radiometric calibration Calib_DMCII _2014.docx Document Version 3.0 page 17 of 40
18 Aperture Correction Green ( ) The light fall off to the border due the influence of the optics depends on the aperture used. Therefore this calibration approach delivers individual calibration images for each aperture (Full F-Stop). In general the light fall off is a function of the image height (radial distance from center). The figure below shows the profile from the upper left corner to the lower right corner of the calibration images. Green DMC II 230 Green This is a camera type specific calibration. Calib_DMCII _2014.docx Document Version 3.0 page 18 of 40
19 Defect Pixel Green ( ) Defect pixels are detected during radiometric calibration and will be corrected during radiometric processing of the images. The quantity and cumulative percentage and specification of defects is described in Appendix Defect Pixel Recognition. Revision of calibration: CCDRevision: 1 Date Number: Date: Number of defect pixels: 6 Number of defect clusters: 0 Number of defect columns: 8 Nr Row Column Defect Column RowStart ColumnStart RowEnd ColumnEnd Calib_DMCII _2014.docx Document Version 3.0 page 19 of 40
20 Optical System Modulation Transfer Function, MTF of Red camera RMK D / RMK DX / DMC II MS Red MTF F/4.0 ; 45 mm Temperature Stability +40 C 0 C +20 C -20 C Calib_DMCII _2014.docx Document Version 3.0 page 20 of 40
21 Relative Spectral Response DMC II 230 Calibration Sensitivity of Red camera Spectral Response Curves of the single camera head. 1.2 RMK D, RMK DX, DMC II 230 Relative Spectral Response rel. Sensitivity Wavelength [nm] The sensitivity shows the spectral response curve of the single camera head including the optical system (optics, filter) and the sensor response. The DMC II 230 is calibrated with respect to the absolute spectrometer. This allows computing pixel radiance values from pixels digital numbers and is a camera type specific calibration. Calib_DMCII _2014.docx Document Version 3.0 page 21 of 40
22 Sensor Linearity (Reference) The sensor linearity is measured in the Lab with calibrated spectrometer. This is a camera type specific calibration. Below figure shows the linearity of the raw sensor and after flat fielding: Senor Linearity from Light Level 0 (dark) to (100 % = Saturation) The deviation from the linearity is below 1%. Calib_DMCII _2014.docx Document Version 3.0 page 22 of 40
23 Sensor Noise (Reference) Sensor noise shows image noise with respect to the image center measured at an aperture of 8 with exposure time of 22msec. Sensor noise after calibration shall be less or equal 0.5% of radiometric resolution. At 14bit radiometric resolution 0.5% (of 16384) is equal to 82 gray values. This is a camera type specific calibration. Image Noise before and after radiometric calibration Calib_DMCII _2014.docx Document Version 3.0 page 23 of 40
24 Aperture Correction Red ( ) The light fall off to the border due the influence of the optics depends on the used aperture. Therefore this calibration approach has for each aperture (Full F-Stop) its own calibration image. In general the light fall off is a function of the image radius. In this calibration approach instead of function the real measured values in the image is used. The figure below shows the profile from the upper left corner to the lower right corner of each of this calibration images to give a feeling on the amount of correction. Red DMC II 230 Red This is a camera type specific calibration. Calib_DMCII _2014.docx Document Version 3.0 page 24 of 40
25 Defect Pixel Red ( ) Defect pixels are detected during radiometric calibration and will be corrected during radiometric processing of the images. The quantity and cumulative percentage and specification of defects is described in Appendix Defect Pixel Recognition. Revision of calibration: CCDRevision: 1 Date Number: Date: Number of defect pixels: 5 Number of defect clusters: 0 Number of defect columns: 1 Nr Row Column Defect Column RowStart ColumnStart RowEnd ColumnEnd Calib_DMCII _2014.docx Document Version 3.0 page 25 of 40
26 Optical System Modulation Transfer Function, MTF of Blue camera RMK D / RMK DX / DMC II MS Blue MTF F/4.0 ; 45 mm Temperature Stability +40 C 0 C +20 C -20 C Calib_DMCII _2014.docx Document Version 3.0 page 26 of 40
27 Relative Spectral Response DMC II 230 Calibration Sensitivity of Blue camera Spectral Response Curves of the single camera head. 1.2 RMK D, RMK DX, DMC II 230 Relative Spectral Response rel. Sensitivity Wavelength [nm] The sensitivity shows the spectral response curve of the single camera head including the optical system (optics, filter) and the sensor response. The DMC II 230 is calibrated with respect to the absolute spectrometer. This allows computing pixel radiance values from pixels digital numbers and is a camera type specific calibration. Calib_DMCII _2014.docx Document Version 3.0 page 27 of 40
28 Sensor Linearity (Reference) The sensor linearity is measured in the Lab with calibrated spectrometer. This is a camera type specific calibration. Below figure shows the linearity of the raw sensor and after flat fielding: Senor Linearity from Light Level 0 (dark) to (100 % = Saturation) The deviation from the linearity is below 1%. Calib_DMCII _2014.docx Document Version 3.0 page 28 of 40
29 Sensor Noise (Reference) Sensor noise shows image noise with respect to the image center measured at an aperture of 8 with exposure time of 22msec. Sensor noise after calibration shall be less or equal 0.5% of radiometric resolution. At 14bit radiometric resolution 0.5% (of 16384) is equal to 82 gray values. This is a camera type specific calibration. Image Noise before and after radiometric calibration Calib_DMCII _2014.docx Document Version 3.0 page 29 of 40
30 Aperture Correction Blue ( ) The light fall off to the border due the influence of the optics depends on the used aperture. Therefore this calibration approach has for each aperture (Full F-Stop) its own calibration image. In general the light fall off is a function of the image radius. In this calibration approach instead of function the real measured values in the image is used. The figure below shows the profile from the upper left corner to the lower right corner of each of this calibration images to give a feeling on the amount of correction. Blue DMC II 230 Blue This is a camera type specific calibration. Calib_DMCII _2014.docx Document Version 3.0 page 30 of 40
31 Defect Pixel Blue ( ) Defect pixels are detected during radiometric calibration and will be corrected during radiometric processing of the images. The quantity and cumulative percentage and specification of defects is described in Appendix Defect Pixel Recognition. Revision of calibration: CCDRevision: 1 Date Number: Date: Number of defect pixels: 14 Number of defect clusters: 0 Number of defect columns: 0 Nr Row Column Defect Column RowStart ColumnStart RowEnd ColumnEnd Calib_DMCII _2014.docx Document Version 3.0 page 31 of 40
32 Optical System Modulation Transfer Function, MTF of IR camera RMK D / RMK DX / DMC II MS IR MTF F/4.0 ; 45 mm Temperature Stability +40 C 0 C +20 C -20 C Calib_DMCII _2014.docx Document Version 3.0 page 32 of 40
33 Relative Spectral Response DMC II 230 Calibration Sensitivity of NIR camera Spectral Response Curves of the single camera head. 1.2 RMK D, RMK DX, DMC II 230 Relative Spectral Response rel. Sensitivity Wavelength [nm] The sensitivity shows the spectral response curve of the single camera head including the optical system (optics, filter) and the sensor response. The DMC II 230 is calibrated with respect to the absolute spectrometer. This allows computing pixel radiance values from pixels digital numbers and is a camera type specific calibration. Calib_DMCII _2014.docx Document Version 3.0 page 33 of 40
34 Sensor Linearity (Reference) The sensor linearity is measured in the Lab with calibrated spectrometer. This is a camera type specific calibration. Below figure shows the linearity of the raw sensor and after flat fielding: Senor Linearity from Light Level 0 (dark) to (100 % = Saturation) The deviation from the linearity is below 1%. Calib_DMCII _2014.docx Document Version 3.0 page 34 of 40
35 Sensor Noise (Reference) Sensor noise shows image noise with respect to the image center measured at an aperture of 8 with exposure time of 22msec. Sensor noise after calibration shall be less or equal 0.5% of radiometric resolution. At 14bit radiometric resolution 0.5% (of 16384) is equal to 82 gray values. This is a camera type specific calibration. Image Noise before and after radiometric calibration Calib_DMCII _2014.docx Document Version 3.0 page 35 of 40
36 Aperture Correction NIR ( ) The light fall off to the border due the influence of the optics depends on the used aperture. Therefore this calibration approach has for each aperture (Full F-Stop) its own calibration image. In general the light fall off is a function of the image radius. In this calibration approach instead of function the real measured values in the image is used. The figure below shows the profile from the upper left corner to the lower right corner of each of this calibration images to give a feeling on the amount of correction. NIR DMC II 230 NIR This is a camera type specific calibration. Calib_DMCII _2014.docx Document Version 3.0 page 36 of 40
37 Defect Pixel NIR ( ) Defect pixels are detected during radiometric calibration and will be corrected during radiometric processing of the images. The quantity and cumulative percentage and specification of defects is described in Appendix Defect Pixel Recognition. Revision of calibration: CCDRevision: 1 Date Number: Date: Number of defect pixels: 7 Number of defect clusters: 0 Number of defect columns: 0 Nr Row Column Defect Column RowStart ColumnStart RowEnd ColumnEnd Calib_DMCII _2014.docx Document Version 3.0 page 37 of 40
38 Sensor Geometric Accuracy Large area CCD imagers are composed (stitched) from several blocks. Stitching on wafer with semiconductor lithographic equipment results in geometric accuracy better than 0.1µm ( Stoldt, H. (2010 ). Therefore the geometric accuracy of individual pixels within a block can be assumed as better or equal the stitching accuracy. Calib_DMCII _2014.docx Document Version 3.0 page 38 of 40
39 Column Pixel Column Pixel DMC II 230 Calibration Defect Pixel Recognition The table below shows the maximal allowed physical defects on the CCD Sensor and its definitions. Description Bright image Dark image Max Count Description Definition Recognition (bright and dark) Max Single column Max double Column CCD Spec Pixel whose signal, at nominal light (illumination at 50% of the linear range), deviates more than 30% from its neighboring pixels. Pixel whose signal, in dark, deviates more than 6mV from its neighboring pixels (about 1% of nominal light). PAN 3500 MS <500 CCD Spec A column which has more than 8 pixel defects in 1 1x 12 kernel Column defects must be horizontally separated by 5 columns for single line defects and 10 for double line defects Same as defect pixel recognition PAN 140 MS 20 PAN 40 MS 6 The Post-Processing-Software is correcting following pixel and columns: PPS Correction Pixel whose gray value in a 16 x16 kernel differs from the median more than 30% PPS Correction Pixel whose gray value in a 16 x16 kernel differs from the median more than 5% and more than 15 defects in one column Calib_DMCII _2014.docx Document Version 3.0 page 39 of 40
40 Bibliography Brown D. C. Close-Range Camera Calibration, Photogrammetric Engineering 37(8) 1971 Dörstel C., Jacobsen K., Stallmann D. (2003): DMC Photogrammetric accuracy Calibration aspects and Generation of synthetic DMC images, Eds. M. Baltsavias / A.Grün, Optical 3D Sensor Workshop, Zürich Fraser C., Digital Camera sel-f calibration. ISPRS Journal of Photogrammetry and Remote Sensing, (997, 5284): Zeitler W., Dörstel C., Jacobsen K. (2002): Geometric calibration of the DMC: Method and Results, Proceedings ASPRS, Denver, USA. Ryan R., Pagnutti M. (2009): Enhanced Absolute and Relative for Digital Aerial Cameras, in: Fritsch D. (Ed.), Photogrammetric Week 2009, Wichmann-Verlag, pp Doering D., Hildebrand J., Diete N. (2009): Advantages of customized optical design for aerial survey cameras, in: Fritsch D. (Ed.), Photogrammetric Week 2009, Wichmann-Verlag, pp Stoldt, H. (2010): DALSA Ultra large CCD technology Customized for Aerial Photogrammetry. At: ASPRS 2010, San Diego, USA, p. 15. Calib_DMCII _2014.docx Document Version 3.0 page 40 of 40
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