Abstract

We conducted a systematic investigation into independent on-orbit geometric calibration, with the aim of applying it to linear agile optical satellite (AOS). Using a combination of multi-attitude images, a complete full-link independent calibration method chain was achieved, in which both the internal and external systematic parameters could be calibrated using the self-constraint of these images, as distinct from the absolute constraints identified from ground calibration sites. In accordance with the capacity for restraint associated with the self-constraint of the images and the geometric characteristics of the systematic errors in the imaging model, the calibration parameters that were deemed suitable for mathematical estimation under this self-constraint, as well as capable of compensating for the systematic errors, were determined by two equivalent compensations. Subsequently, a stepwise calibration for the estimation of external and internal parameters was conducted, where the corresponding points, matched from two separate combinations of multi-attitude images, were applied to the external and internal calibrations, respectively. With an aided elevation, the optimal calibration parameters were achieved under these conditions without the use of a ground control point (GCP). Finally, a set of innovative experiments were conducted on rigorously simulated data to verify the theoretical accuracy and feasibility of this method. The experimental results indicated that the method could achieve an overall theoretical accuracy of around 0.002 arc seconds, and showed good geometric consistency for all charge-coupled device (CCD) detectors.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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  1. B. Wie, D. Bailey, and C. Heiberg, “Rapid multitarget acquisition and pointing control of agile spacecraft,” J. Guid. Control Dyn. 25(25), 96–104 (2002).
    [Crossref]
  2. M. Lemaitre, G. Verfaillie, F. Jouhaud, J. Lachiver, and N. Bataille, “Selecting and scheduling observations of agile satellites,” Aerosp. Sci. Technol. 6(5), 367–381 (2002).
    [Crossref]
  3. M. Wang, B. Yang, F. Hu, and X. Zang, “On-Orbit Geometric Calibration Model and Its Applications for High-Resolution Optical Satellite Imagery,” Remote Sens. 6(5), 4391–4408 (2014).
    [Crossref]
  4. M. Wang, Y. Cheng, X. Chang, S. Jin, and Y. Zhu, “On-orbit geometric calibration and geometric quality assessment for the high-resolution geostationary optical satellite GaoFen4,” ISPRS J. Photogramm. Remote Sens. 125, 63–77 (2017).
    [Crossref]
  5. J. Grodecki and G. Dial, “IKONOS geometric accuracy validation,” Proc. of ISPRS Commission I, Mid-Term Symposium, 34 (2002).
  6. J. Takaku and T. Tadono, “PRISM on-orbit geometric calibration and DSM performance,” IEEE Trans. Geosci. Remote Sens. 47(12), 4060–4073 (2009).
    [Crossref]
  7. R. Gachet, “Spot5 in-flight commissioning: inner orientation of HRG and HRS instruments,” Proc XXth Isprs Congr, Commission I, Istanbul, Turkey (2002).
  8. E. Breton, A. Bouillon, R. Gachet, and F. Delussy, “Pre-flight and in-flight geometric calibration of spot 5 HRG and HRS images,” In Proc.Pecora 15/Land (2002).
  9. D. Mulawa, “On-orbit geometric calibration of the OrbView-3 high resolution imaging satellite,” Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci 35, 1–6 (2004).
  10. J. Li, R. Wang, and L. Zhu, “In-flight geometric calibration for mapping satellite-1 surveying and mapping camera,” Yaogan Xuebao 16, 35–39 (2012).
  11. Y. H. Jiang, G. Zhang, X. M. Tang, D. Li, and W. C. Huang, “Geometric Calibration and Accuracy Assessment of ZiYuan-3 Multispectral Images,” IEEE Trans. Geosci. Remote Sens. 52(7), 4161–4172 (2014).
    [Crossref]
  12. J. S. Cao, X. X. Yuan, and J. Gong, “In-orbit Geometric Calibration and Validation of ZY-3 Three-line Cameras Based on CCD-Detector Look Angles,” Photogramm. Rec. 30(150), 211–226 (2015).
    [Crossref]
  13. Y. Chen, Z. Xie, Z. Qiu, Q. Zhang, and Z. Hu, “Calibration and Validation of ZY-3 Optical Sensors,” IEEE Trans. Geosci. Remote Sens. 53(8), 4616–4626 (2015).
    [Crossref]
  14. Y. J. Zhang, M. T. Zheng, J. Xiong, Y. Lu, and X. Xiong, “On-orbit Geometric Calibration of ZY-3 Three-Line Array Imagery with Multistrip Data Sets,” IEEE Trans. Geosci. Remote Sens. 52(1), 224–234 (2014).
    [Crossref]
  15. M. Wang, Y. Cheng, B. Yang, S. Jin, and H. Su, “On-orbit calibration approach for optical navigation camera in deep space exploration,” Opt. Express 24(5), 5536–5554 (2016).
    [Crossref] [PubMed]
  16. D. Greslou, F. Delussy, J. M. Delvit, C. Dechoz, and V. Amberg, “Pleiades-HR innovative techniques for geometric image quality commissioning,” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. XXXIX B1, 543–547 (2012).
  17. L. Lebegue, D. Greslou, F. Lussy, S. Fourest, and G. Blanchet, “Pleiades-HR image quality commissioning,” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. XXXIX B1, 561–566 (2012).
  18. M. Wang, Y. Cheng, Y. Tian, L. He, and Y. Wang, “A New On-Orbit Geometric Self-Calibration Approach for the High-Resolution Geostationary Optical Satellite GaoFen4,” IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens. 11(5), 1670–1683 (2018).
    [Crossref]
  19. Y. D. Pi, B. Yang, M. Wang, X. Li, Y. Cheng, and W.-L. Tang, “On-orbit geometric calibration using a cross-image pair for the linear sensor aboard the agile optical satellite,” IEEE Geosci. Remote Sens. Lett. 14(7), 1176–1180 (2017).
    [Crossref]

2018 (1)

M. Wang, Y. Cheng, Y. Tian, L. He, and Y. Wang, “A New On-Orbit Geometric Self-Calibration Approach for the High-Resolution Geostationary Optical Satellite GaoFen4,” IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens. 11(5), 1670–1683 (2018).
[Crossref]

2017 (2)

Y. D. Pi, B. Yang, M. Wang, X. Li, Y. Cheng, and W.-L. Tang, “On-orbit geometric calibration using a cross-image pair for the linear sensor aboard the agile optical satellite,” IEEE Geosci. Remote Sens. Lett. 14(7), 1176–1180 (2017).
[Crossref]

M. Wang, Y. Cheng, X. Chang, S. Jin, and Y. Zhu, “On-orbit geometric calibration and geometric quality assessment for the high-resolution geostationary optical satellite GaoFen4,” ISPRS J. Photogramm. Remote Sens. 125, 63–77 (2017).
[Crossref]

2016 (1)

2015 (2)

J. S. Cao, X. X. Yuan, and J. Gong, “In-orbit Geometric Calibration and Validation of ZY-3 Three-line Cameras Based on CCD-Detector Look Angles,” Photogramm. Rec. 30(150), 211–226 (2015).
[Crossref]

Y. Chen, Z. Xie, Z. Qiu, Q. Zhang, and Z. Hu, “Calibration and Validation of ZY-3 Optical Sensors,” IEEE Trans. Geosci. Remote Sens. 53(8), 4616–4626 (2015).
[Crossref]

2014 (3)

Y. J. Zhang, M. T. Zheng, J. Xiong, Y. Lu, and X. Xiong, “On-orbit Geometric Calibration of ZY-3 Three-Line Array Imagery with Multistrip Data Sets,” IEEE Trans. Geosci. Remote Sens. 52(1), 224–234 (2014).
[Crossref]

M. Wang, B. Yang, F. Hu, and X. Zang, “On-Orbit Geometric Calibration Model and Its Applications for High-Resolution Optical Satellite Imagery,” Remote Sens. 6(5), 4391–4408 (2014).
[Crossref]

Y. H. Jiang, G. Zhang, X. M. Tang, D. Li, and W. C. Huang, “Geometric Calibration and Accuracy Assessment of ZiYuan-3 Multispectral Images,” IEEE Trans. Geosci. Remote Sens. 52(7), 4161–4172 (2014).
[Crossref]

2012 (3)

D. Greslou, F. Delussy, J. M. Delvit, C. Dechoz, and V. Amberg, “Pleiades-HR innovative techniques for geometric image quality commissioning,” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. XXXIX B1, 543–547 (2012).

L. Lebegue, D. Greslou, F. Lussy, S. Fourest, and G. Blanchet, “Pleiades-HR image quality commissioning,” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. XXXIX B1, 561–566 (2012).

J. Li, R. Wang, and L. Zhu, “In-flight geometric calibration for mapping satellite-1 surveying and mapping camera,” Yaogan Xuebao 16, 35–39 (2012).

2009 (1)

J. Takaku and T. Tadono, “PRISM on-orbit geometric calibration and DSM performance,” IEEE Trans. Geosci. Remote Sens. 47(12), 4060–4073 (2009).
[Crossref]

2004 (1)

D. Mulawa, “On-orbit geometric calibration of the OrbView-3 high resolution imaging satellite,” Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci 35, 1–6 (2004).

2002 (2)

B. Wie, D. Bailey, and C. Heiberg, “Rapid multitarget acquisition and pointing control of agile spacecraft,” J. Guid. Control Dyn. 25(25), 96–104 (2002).
[Crossref]

M. Lemaitre, G. Verfaillie, F. Jouhaud, J. Lachiver, and N. Bataille, “Selecting and scheduling observations of agile satellites,” Aerosp. Sci. Technol. 6(5), 367–381 (2002).
[Crossref]

Amberg, V.

D. Greslou, F. Delussy, J. M. Delvit, C. Dechoz, and V. Amberg, “Pleiades-HR innovative techniques for geometric image quality commissioning,” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. XXXIX B1, 543–547 (2012).

Bailey, D.

B. Wie, D. Bailey, and C. Heiberg, “Rapid multitarget acquisition and pointing control of agile spacecraft,” J. Guid. Control Dyn. 25(25), 96–104 (2002).
[Crossref]

Bataille, N.

M. Lemaitre, G. Verfaillie, F. Jouhaud, J. Lachiver, and N. Bataille, “Selecting and scheduling observations of agile satellites,” Aerosp. Sci. Technol. 6(5), 367–381 (2002).
[Crossref]

Blanchet, G.

L. Lebegue, D. Greslou, F. Lussy, S. Fourest, and G. Blanchet, “Pleiades-HR image quality commissioning,” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. XXXIX B1, 561–566 (2012).

Bouillon, A.

E. Breton, A. Bouillon, R. Gachet, and F. Delussy, “Pre-flight and in-flight geometric calibration of spot 5 HRG and HRS images,” In Proc.Pecora 15/Land (2002).

Breton, E.

E. Breton, A. Bouillon, R. Gachet, and F. Delussy, “Pre-flight and in-flight geometric calibration of spot 5 HRG and HRS images,” In Proc.Pecora 15/Land (2002).

Cao, J. S.

J. S. Cao, X. X. Yuan, and J. Gong, “In-orbit Geometric Calibration and Validation of ZY-3 Three-line Cameras Based on CCD-Detector Look Angles,” Photogramm. Rec. 30(150), 211–226 (2015).
[Crossref]

Chang, X.

M. Wang, Y. Cheng, X. Chang, S. Jin, and Y. Zhu, “On-orbit geometric calibration and geometric quality assessment for the high-resolution geostationary optical satellite GaoFen4,” ISPRS J. Photogramm. Remote Sens. 125, 63–77 (2017).
[Crossref]

Chen, Y.

Y. Chen, Z. Xie, Z. Qiu, Q. Zhang, and Z. Hu, “Calibration and Validation of ZY-3 Optical Sensors,” IEEE Trans. Geosci. Remote Sens. 53(8), 4616–4626 (2015).
[Crossref]

Cheng, Y.

M. Wang, Y. Cheng, Y. Tian, L. He, and Y. Wang, “A New On-Orbit Geometric Self-Calibration Approach for the High-Resolution Geostationary Optical Satellite GaoFen4,” IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens. 11(5), 1670–1683 (2018).
[Crossref]

Y. D. Pi, B. Yang, M. Wang, X. Li, Y. Cheng, and W.-L. Tang, “On-orbit geometric calibration using a cross-image pair for the linear sensor aboard the agile optical satellite,” IEEE Geosci. Remote Sens. Lett. 14(7), 1176–1180 (2017).
[Crossref]

M. Wang, Y. Cheng, X. Chang, S. Jin, and Y. Zhu, “On-orbit geometric calibration and geometric quality assessment for the high-resolution geostationary optical satellite GaoFen4,” ISPRS J. Photogramm. Remote Sens. 125, 63–77 (2017).
[Crossref]

M. Wang, Y. Cheng, B. Yang, S. Jin, and H. Su, “On-orbit calibration approach for optical navigation camera in deep space exploration,” Opt. Express 24(5), 5536–5554 (2016).
[Crossref] [PubMed]

Dechoz, C.

D. Greslou, F. Delussy, J. M. Delvit, C. Dechoz, and V. Amberg, “Pleiades-HR innovative techniques for geometric image quality commissioning,” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. XXXIX B1, 543–547 (2012).

Delussy, F.

D. Greslou, F. Delussy, J. M. Delvit, C. Dechoz, and V. Amberg, “Pleiades-HR innovative techniques for geometric image quality commissioning,” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. XXXIX B1, 543–547 (2012).

E. Breton, A. Bouillon, R. Gachet, and F. Delussy, “Pre-flight and in-flight geometric calibration of spot 5 HRG and HRS images,” In Proc.Pecora 15/Land (2002).

Delvit, J. M.

D. Greslou, F. Delussy, J. M. Delvit, C. Dechoz, and V. Amberg, “Pleiades-HR innovative techniques for geometric image quality commissioning,” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. XXXIX B1, 543–547 (2012).

Dial, G.

J. Grodecki and G. Dial, “IKONOS geometric accuracy validation,” Proc. of ISPRS Commission I, Mid-Term Symposium, 34 (2002).

Fourest, S.

L. Lebegue, D. Greslou, F. Lussy, S. Fourest, and G. Blanchet, “Pleiades-HR image quality commissioning,” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. XXXIX B1, 561–566 (2012).

Gachet, R.

R. Gachet, “Spot5 in-flight commissioning: inner orientation of HRG and HRS instruments,” Proc XXth Isprs Congr, Commission I, Istanbul, Turkey (2002).

E. Breton, A. Bouillon, R. Gachet, and F. Delussy, “Pre-flight and in-flight geometric calibration of spot 5 HRG and HRS images,” In Proc.Pecora 15/Land (2002).

Gong, J.

J. S. Cao, X. X. Yuan, and J. Gong, “In-orbit Geometric Calibration and Validation of ZY-3 Three-line Cameras Based on CCD-Detector Look Angles,” Photogramm. Rec. 30(150), 211–226 (2015).
[Crossref]

Greslou, D.

D. Greslou, F. Delussy, J. M. Delvit, C. Dechoz, and V. Amberg, “Pleiades-HR innovative techniques for geometric image quality commissioning,” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. XXXIX B1, 543–547 (2012).

L. Lebegue, D. Greslou, F. Lussy, S. Fourest, and G. Blanchet, “Pleiades-HR image quality commissioning,” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. XXXIX B1, 561–566 (2012).

Grodecki, J.

J. Grodecki and G. Dial, “IKONOS geometric accuracy validation,” Proc. of ISPRS Commission I, Mid-Term Symposium, 34 (2002).

He, L.

M. Wang, Y. Cheng, Y. Tian, L. He, and Y. Wang, “A New On-Orbit Geometric Self-Calibration Approach for the High-Resolution Geostationary Optical Satellite GaoFen4,” IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens. 11(5), 1670–1683 (2018).
[Crossref]

Heiberg, C.

B. Wie, D. Bailey, and C. Heiberg, “Rapid multitarget acquisition and pointing control of agile spacecraft,” J. Guid. Control Dyn. 25(25), 96–104 (2002).
[Crossref]

Hu, F.

M. Wang, B. Yang, F. Hu, and X. Zang, “On-Orbit Geometric Calibration Model and Its Applications for High-Resolution Optical Satellite Imagery,” Remote Sens. 6(5), 4391–4408 (2014).
[Crossref]

Hu, Z.

Y. Chen, Z. Xie, Z. Qiu, Q. Zhang, and Z. Hu, “Calibration and Validation of ZY-3 Optical Sensors,” IEEE Trans. Geosci. Remote Sens. 53(8), 4616–4626 (2015).
[Crossref]

Huang, W. C.

Y. H. Jiang, G. Zhang, X. M. Tang, D. Li, and W. C. Huang, “Geometric Calibration and Accuracy Assessment of ZiYuan-3 Multispectral Images,” IEEE Trans. Geosci. Remote Sens. 52(7), 4161–4172 (2014).
[Crossref]

Jiang, Y. H.

Y. H. Jiang, G. Zhang, X. M. Tang, D. Li, and W. C. Huang, “Geometric Calibration and Accuracy Assessment of ZiYuan-3 Multispectral Images,” IEEE Trans. Geosci. Remote Sens. 52(7), 4161–4172 (2014).
[Crossref]

Jin, S.

M. Wang, Y. Cheng, X. Chang, S. Jin, and Y. Zhu, “On-orbit geometric calibration and geometric quality assessment for the high-resolution geostationary optical satellite GaoFen4,” ISPRS J. Photogramm. Remote Sens. 125, 63–77 (2017).
[Crossref]

M. Wang, Y. Cheng, B. Yang, S. Jin, and H. Su, “On-orbit calibration approach for optical navigation camera in deep space exploration,” Opt. Express 24(5), 5536–5554 (2016).
[Crossref] [PubMed]

Jouhaud, F.

M. Lemaitre, G. Verfaillie, F. Jouhaud, J. Lachiver, and N. Bataille, “Selecting and scheduling observations of agile satellites,” Aerosp. Sci. Technol. 6(5), 367–381 (2002).
[Crossref]

Lachiver, J.

M. Lemaitre, G. Verfaillie, F. Jouhaud, J. Lachiver, and N. Bataille, “Selecting and scheduling observations of agile satellites,” Aerosp. Sci. Technol. 6(5), 367–381 (2002).
[Crossref]

Lebegue, L.

L. Lebegue, D. Greslou, F. Lussy, S. Fourest, and G. Blanchet, “Pleiades-HR image quality commissioning,” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. XXXIX B1, 561–566 (2012).

Lemaitre, M.

M. Lemaitre, G. Verfaillie, F. Jouhaud, J. Lachiver, and N. Bataille, “Selecting and scheduling observations of agile satellites,” Aerosp. Sci. Technol. 6(5), 367–381 (2002).
[Crossref]

Li, D.

Y. H. Jiang, G. Zhang, X. M. Tang, D. Li, and W. C. Huang, “Geometric Calibration and Accuracy Assessment of ZiYuan-3 Multispectral Images,” IEEE Trans. Geosci. Remote Sens. 52(7), 4161–4172 (2014).
[Crossref]

Li, J.

J. Li, R. Wang, and L. Zhu, “In-flight geometric calibration for mapping satellite-1 surveying and mapping camera,” Yaogan Xuebao 16, 35–39 (2012).

Li, X.

Y. D. Pi, B. Yang, M. Wang, X. Li, Y. Cheng, and W.-L. Tang, “On-orbit geometric calibration using a cross-image pair for the linear sensor aboard the agile optical satellite,” IEEE Geosci. Remote Sens. Lett. 14(7), 1176–1180 (2017).
[Crossref]

Lu, Y.

Y. J. Zhang, M. T. Zheng, J. Xiong, Y. Lu, and X. Xiong, “On-orbit Geometric Calibration of ZY-3 Three-Line Array Imagery with Multistrip Data Sets,” IEEE Trans. Geosci. Remote Sens. 52(1), 224–234 (2014).
[Crossref]

Lussy, F.

L. Lebegue, D. Greslou, F. Lussy, S. Fourest, and G. Blanchet, “Pleiades-HR image quality commissioning,” ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. XXXIX B1, 561–566 (2012).

Mulawa, D.

D. Mulawa, “On-orbit geometric calibration of the OrbView-3 high resolution imaging satellite,” Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci 35, 1–6 (2004).

Pi, Y. D.

Y. D. Pi, B. Yang, M. Wang, X. Li, Y. Cheng, and W.-L. Tang, “On-orbit geometric calibration using a cross-image pair for the linear sensor aboard the agile optical satellite,” IEEE Geosci. Remote Sens. Lett. 14(7), 1176–1180 (2017).
[Crossref]

Qiu, Z.

Y. Chen, Z. Xie, Z. Qiu, Q. Zhang, and Z. Hu, “Calibration and Validation of ZY-3 Optical Sensors,” IEEE Trans. Geosci. Remote Sens. 53(8), 4616–4626 (2015).
[Crossref]

Su, H.

Tadono, T.

J. Takaku and T. Tadono, “PRISM on-orbit geometric calibration and DSM performance,” IEEE Trans. Geosci. Remote Sens. 47(12), 4060–4073 (2009).
[Crossref]

Takaku, J.

J. Takaku and T. Tadono, “PRISM on-orbit geometric calibration and DSM performance,” IEEE Trans. Geosci. Remote Sens. 47(12), 4060–4073 (2009).
[Crossref]

Tang, W.-L.

Y. D. Pi, B. Yang, M. Wang, X. Li, Y. Cheng, and W.-L. Tang, “On-orbit geometric calibration using a cross-image pair for the linear sensor aboard the agile optical satellite,” IEEE Geosci. Remote Sens. Lett. 14(7), 1176–1180 (2017).
[Crossref]

Tang, X. M.

Y. H. Jiang, G. Zhang, X. M. Tang, D. Li, and W. C. Huang, “Geometric Calibration and Accuracy Assessment of ZiYuan-3 Multispectral Images,” IEEE Trans. Geosci. Remote Sens. 52(7), 4161–4172 (2014).
[Crossref]

Tian, Y.

M. Wang, Y. Cheng, Y. Tian, L. He, and Y. Wang, “A New On-Orbit Geometric Self-Calibration Approach for the High-Resolution Geostationary Optical Satellite GaoFen4,” IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens. 11(5), 1670–1683 (2018).
[Crossref]

Verfaillie, G.

M. Lemaitre, G. Verfaillie, F. Jouhaud, J. Lachiver, and N. Bataille, “Selecting and scheduling observations of agile satellites,” Aerosp. Sci. Technol. 6(5), 367–381 (2002).
[Crossref]

Wang, M.

M. Wang, Y. Cheng, Y. Tian, L. He, and Y. Wang, “A New On-Orbit Geometric Self-Calibration Approach for the High-Resolution Geostationary Optical Satellite GaoFen4,” IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens. 11(5), 1670–1683 (2018).
[Crossref]

Y. D. Pi, B. Yang, M. Wang, X. Li, Y. Cheng, and W.-L. Tang, “On-orbit geometric calibration using a cross-image pair for the linear sensor aboard the agile optical satellite,” IEEE Geosci. Remote Sens. Lett. 14(7), 1176–1180 (2017).
[Crossref]

M. Wang, Y. Cheng, X. Chang, S. Jin, and Y. Zhu, “On-orbit geometric calibration and geometric quality assessment for the high-resolution geostationary optical satellite GaoFen4,” ISPRS J. Photogramm. Remote Sens. 125, 63–77 (2017).
[Crossref]

M. Wang, Y. Cheng, B. Yang, S. Jin, and H. Su, “On-orbit calibration approach for optical navigation camera in deep space exploration,” Opt. Express 24(5), 5536–5554 (2016).
[Crossref] [PubMed]

M. Wang, B. Yang, F. Hu, and X. Zang, “On-Orbit Geometric Calibration Model and Its Applications for High-Resolution Optical Satellite Imagery,” Remote Sens. 6(5), 4391–4408 (2014).
[Crossref]

Wang, R.

J. Li, R. Wang, and L. Zhu, “In-flight geometric calibration for mapping satellite-1 surveying and mapping camera,” Yaogan Xuebao 16, 35–39 (2012).

Wang, Y.

M. Wang, Y. Cheng, Y. Tian, L. He, and Y. Wang, “A New On-Orbit Geometric Self-Calibration Approach for the High-Resolution Geostationary Optical Satellite GaoFen4,” IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens. 11(5), 1670–1683 (2018).
[Crossref]

Wie, B.

B. Wie, D. Bailey, and C. Heiberg, “Rapid multitarget acquisition and pointing control of agile spacecraft,” J. Guid. Control Dyn. 25(25), 96–104 (2002).
[Crossref]

Xie, Z.

Y. Chen, Z. Xie, Z. Qiu, Q. Zhang, and Z. Hu, “Calibration and Validation of ZY-3 Optical Sensors,” IEEE Trans. Geosci. Remote Sens. 53(8), 4616–4626 (2015).
[Crossref]

Xiong, J.

Y. J. Zhang, M. T. Zheng, J. Xiong, Y. Lu, and X. Xiong, “On-orbit Geometric Calibration of ZY-3 Three-Line Array Imagery with Multistrip Data Sets,” IEEE Trans. Geosci. Remote Sens. 52(1), 224–234 (2014).
[Crossref]

Xiong, X.

Y. J. Zhang, M. T. Zheng, J. Xiong, Y. Lu, and X. Xiong, “On-orbit Geometric Calibration of ZY-3 Three-Line Array Imagery with Multistrip Data Sets,” IEEE Trans. Geosci. Remote Sens. 52(1), 224–234 (2014).
[Crossref]

Yang, B.

Y. D. Pi, B. Yang, M. Wang, X. Li, Y. Cheng, and W.-L. Tang, “On-orbit geometric calibration using a cross-image pair for the linear sensor aboard the agile optical satellite,” IEEE Geosci. Remote Sens. Lett. 14(7), 1176–1180 (2017).
[Crossref]

M. Wang, Y. Cheng, B. Yang, S. Jin, and H. Su, “On-orbit calibration approach for optical navigation camera in deep space exploration,” Opt. Express 24(5), 5536–5554 (2016).
[Crossref] [PubMed]

M. Wang, B. Yang, F. Hu, and X. Zang, “On-Orbit Geometric Calibration Model and Its Applications for High-Resolution Optical Satellite Imagery,” Remote Sens. 6(5), 4391–4408 (2014).
[Crossref]

Yuan, X. X.

J. S. Cao, X. X. Yuan, and J. Gong, “In-orbit Geometric Calibration and Validation of ZY-3 Three-line Cameras Based on CCD-Detector Look Angles,” Photogramm. Rec. 30(150), 211–226 (2015).
[Crossref]

Zang, X.

M. Wang, B. Yang, F. Hu, and X. Zang, “On-Orbit Geometric Calibration Model and Its Applications for High-Resolution Optical Satellite Imagery,” Remote Sens. 6(5), 4391–4408 (2014).
[Crossref]

Zhang, G.

Y. H. Jiang, G. Zhang, X. M. Tang, D. Li, and W. C. Huang, “Geometric Calibration and Accuracy Assessment of ZiYuan-3 Multispectral Images,” IEEE Trans. Geosci. Remote Sens. 52(7), 4161–4172 (2014).
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Y. J. Zhang, M. T. Zheng, J. Xiong, Y. Lu, and X. Xiong, “On-orbit Geometric Calibration of ZY-3 Three-Line Array Imagery with Multistrip Data Sets,” IEEE Trans. Geosci. Remote Sens. 52(1), 224–234 (2014).
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Y. J. Zhang, M. T. Zheng, J. Xiong, Y. Lu, and X. Xiong, “On-orbit Geometric Calibration of ZY-3 Three-Line Array Imagery with Multistrip Data Sets,” IEEE Trans. Geosci. Remote Sens. 52(1), 224–234 (2014).
[Crossref]

Zhu, L.

J. Li, R. Wang, and L. Zhu, “In-flight geometric calibration for mapping satellite-1 surveying and mapping camera,” Yaogan Xuebao 16, 35–39 (2012).

Zhu, Y.

M. Wang, Y. Cheng, X. Chang, S. Jin, and Y. Zhu, “On-orbit geometric calibration and geometric quality assessment for the high-resolution geostationary optical satellite GaoFen4,” ISPRS J. Photogramm. Remote Sens. 125, 63–77 (2017).
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IEEE Geosci. Remote Sens. Lett. (1)

Y. D. Pi, B. Yang, M. Wang, X. Li, Y. Cheng, and W.-L. Tang, “On-orbit geometric calibration using a cross-image pair for the linear sensor aboard the agile optical satellite,” IEEE Geosci. Remote Sens. Lett. 14(7), 1176–1180 (2017).
[Crossref]

IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens. (1)

M. Wang, Y. Cheng, Y. Tian, L. He, and Y. Wang, “A New On-Orbit Geometric Self-Calibration Approach for the High-Resolution Geostationary Optical Satellite GaoFen4,” IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens. 11(5), 1670–1683 (2018).
[Crossref]

IEEE Trans. Geosci. Remote Sens. (4)

Y. H. Jiang, G. Zhang, X. M. Tang, D. Li, and W. C. Huang, “Geometric Calibration and Accuracy Assessment of ZiYuan-3 Multispectral Images,” IEEE Trans. Geosci. Remote Sens. 52(7), 4161–4172 (2014).
[Crossref]

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[Crossref]

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ISPRS J. Photogramm. Remote Sens. (1)

M. Wang, Y. Cheng, X. Chang, S. Jin, and Y. Zhu, “On-orbit geometric calibration and geometric quality assessment for the high-resolution geostationary optical satellite GaoFen4,” ISPRS J. Photogramm. Remote Sens. 125, 63–77 (2017).
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Opt. Express (1)

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J. S. Cao, X. X. Yuan, and J. Gong, “In-orbit Geometric Calibration and Validation of ZY-3 Three-line Cameras Based on CCD-Detector Look Angles,” Photogramm. Rec. 30(150), 211–226 (2015).
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Yaogan Xuebao (1)

J. Li, R. Wang, and L. Zhu, “In-flight geometric calibration for mapping satellite-1 surveying and mapping camera,” Yaogan Xuebao 16, 35–39 (2012).

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E. Breton, A. Bouillon, R. Gachet, and F. Delussy, “Pre-flight and in-flight geometric calibration of spot 5 HRG and HRS images,” In Proc.Pecora 15/Land (2002).

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Figures (10)

Fig. 1
Fig. 1 The combination of multi-attitude images.
Fig. 2
Fig. 2 Correlation between CCD rotation and yaw.
Fig. 3
Fig. 3 Relationship between calibration accuracy and elevation error.
Fig. 4
Fig. 4 Installation errors for 0° and 180° yaw attitude.
Fig. 5
Fig. 5 Internal distortions for different constraint from multi-attitude images.
Fig. 6
Fig. 6 Flow of simulated experiment.
Fig. 7
Fig. 7 The simulated multi-attitude images.
Fig. 8
Fig. 8 The designed internal distortions with different orders.
Fig. 9
Fig. 9 The variation of internal calibration accuracy with elevation error.
Fig. 10
Fig. 10 The estimated geometric residual curves of Sinx.

Tables (7)

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Table 1 Basic parameters of designed satellite

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Table 2 Estimated external parameters based on different elevations

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Table 3 Estimated internal parameters based on DSM with different errors

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Table 4 Accuracy assessment for the internal calibration based on DSM with different errors

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Table 5 Estimated external parameters based on different internal distortions

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Table 6 Estimated internal parameters for different internal distortions

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Table 7 Overall calibration accuracy for different internal distortions

Equations (25)

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{ x=(f+Δf)( x s +dx+s λ x sinθ+Δx)/f y=(f+Δf)( y s +dy+s λ y cosθ+Δy)/f z=(f+Δf)
( x y z )=λ R body cam (pitch,roll,yaw)( R J2000 body R wgs J2000 [ X g X gps Y g Y gps Z g Z gps ] wgs [ B X B Y B Z ] body )
( V image ) cam = (x,y,z) T =λ (tan( φ x ),tan( φ y ),1) T
{ φ x (s)= a 0 + a 1 s+ a 2 s 2 + a 3 s 3 φ y (s)= b 0 + b 1 s+ b 2 s 2 + b 3 s 3
( tan( φ x ) tan( φ y ) 1 )=λ R body cam (pitch,roll)( R J2000 body R wgs J2000 [ X g X gps Y g Y gps Z g Z gps ] wgs [ B X B Y B Z ] body )
Δθ=θθ'=arctan(B/H)arctan(B/(H+ΔH))
[ X ¯ Y ¯ Z ¯ ]= R body cam ( R J2000 body R wgs J2000 [ X g X gps Y g Y gps Z g Z gps ] wgs [ B X B Y B Z ] body )
{ F= X ¯ +tan( φ x (s)) Z ¯ G= Y ¯ +tan( φ y (s)) Z ¯
V i,j,k E = A i,j,k x k E + B i,j,k t i,k E L i,j,k E P i,j,k E
A i,j,k =[ F i,j,k pitch F i,j,k roll G i,j,k pitch G i,j,k roll ], B i,j,k =[ F i,j,k La t i,k F i,j,k Lo n i,k G i,j,k La t i,k G i,j,k La t i,k ], x k E = [ Δpitch Δroll ] k ,
V i,k E = A i,k x k E + B i,k t i,k E L i,k E P i,k E
A i,k =[ A i,1,k A i,2,k ], B i,k =[ B i,1,k B i,2,k ], L i,k E =[ L i,1,k E L i,2,k E ], P i,k E =[ P i,1,k E P i,2,k E ] .
M k E x k E = W k E
M k E = i=1 n ( A i,k T P i,k E A i,k A i,k T P i,k E B i,k ( B i,k T P i,k E B i,k ) 1 B i,k T P i,k E A i,k )
W k E = i=1 n ( A i,k T P i,k E L i,k E A i,k T P i,k E B i,k ( B i,k T P i,k E B i,k ) 1 B i,k T P i,k E L i,k E )
X k+1 E = X k E + x k E
V i,j,k I = C i,j,k x k I + D i,j,k t i,k I L i,j,k I P i,j,k I
C i,j,k =[ F i,j,k a ω F i,j,k b ω G i,j,k a ω G i,j,k b ω ], D i,j,k =[ F i,j,k La t i,k F i,j,k Lo n i,k G i,j,k La t i,k G i,j,k La t i,k ], x k I = [ Δ a ω Δ b ω ] k ,(ω=0,1,2,3)
V i,k I = C i,k x k I + D i,k t i,k I L i,k I P i,k I
C i,k =[ C i,1,k C i,m,k ], D i,k =[ D i,1,k D i,m,k ], L i,k I =[ L i,1,k I L i,m,k I ], P i,k I =[ P i,1,k I P i,m,k I ] ,
M k I x k I = W k I
M k I = i=1 n ( A i,k T P i,k E A i,k A i,k T P i,k E B i,k ( B i,k T P i,k E B i,k ) 1 B i,k T P i,k E A i,k )
W k I = i=1 n ( A i,k T P i,k E L i,k E A i,k T P i,k E B i,k ( B i,k T P i,k E B i,k ) 1 B i,k T P i,k E L i,k E )
X k+1 I = X k I + x k I
RM S x = 1 m i=1 m ( φ x φ ' x ) i 2 ,RM S y = 1 m i=1 m ( φ y φ ' y ) i 2

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