Abstract

On-orbit radiometric calibration of the optical sensors on-board SuperView-1 satellites is the foundation for further quantitative applications. A field calibration campaign was orchestrated to radiometrically calibrate the SuperView-1 optical sensors at the Baotou calibration site in China during September 2018. Based on the collected datasets, three independent methods (reflectance-based, radiance-based, and cross-calibration) were used to determine the radiometric calibration coefficients of the SuperView-1 optical sensors with multiple permanent artificial calibration targets. Comparisons of the desert top-of-atmosphere radiance calculated based on the coefficients determined with independent methods were analyzed. Comparison results show that the minimum and maximum relative differences of the radiometrically-calibrated desert TOA radiance between the reflectance-based and radiance-based methods are 1.26% and 4.23% for SV0102 and SV0104, respectively. While, the minimum and maximum relative differences of the radiometrically-calibrated desert TOA radiance between the reflectance-based and radiance-based methods are 0.82% and 6.83% for SV0101 and SV0103, respectively. The reasonably good agreement of the radiometrically calibrated coefficients of the SuperView-1 on-board sensors between these independent methods is encouraging. An uncertainty analysis was also discussed, and the results suggest that the overall uncertainties of the predicted TOA radiance are less than 4.5%, 4.0%, and 5.15% for the reflectance-based, radiance-based, and cross-calibration methods, respectively.

© 2020 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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    [Crossref]

2019 (2)

X. Xiong, A. Angal, K. Twedt, H. Chen, D. Link, X. Geng, E. Aldoretta, and Q. Mu, “MODIS Reflective Solar Bands On-Orbit Calibration and Performance,” IEEE Trans. Geosci. Remote Sensing 57(9), 6355–6371 (2019).
[Crossref]

C. Revel, V. Lonjou, S. Marcq, C. Desjardins, B. Fougnie, C. Luche, N. Guilleminot, A. Lacamp, E. Lourme, C. Miquel, and X. Lenot, “Sentinel-2A and 2B absolute calibration monitoring,” Eur. J. Remote Sens. 52(1), 122–137 (2019).
[Crossref]

2018 (2)

H. Zhang, B. Zhang, Z. Chen, and Z. Huang, “Vicarious Radiometric Calibration of the Hyperspectral Imaging Microsatellites SPARK-01 and -02 over Dunhuang, China,” Remote Sens. 10(1), 120 (2018).
[Crossref]

J. A. Barsi, B. Alhammoud, J. Czapla-Myers, F. Gascon, M. O. Haque, M. Kaewmanee, L. Leigh, L. and B, and L. Markham, “Sentinel-2A MSI and Landsat-8 OLI radiometric cross comparison over desert sites,” Eur. J. Remote Sens. 51(1), 822–837 (2018).
[Crossref]

2017 (4)

Y. Chen, K. Sun, D. Li, T. Bai, and C. Huang, “Radiometric Cross-Calibration of GF-4 PMS Sensor Based on Assimilation of Landsat-8 OLI Images,” Remote Sens. 9(8), 811 (2017).
[Crossref]

Y. Liu, L. Ma, N. Wang, Y. Qian, S. Qiu, C. Li, and L. Tang, “Vicarious radiometric calibration/validation of Landsat-8 operational land imager using a ground reflected radiance-based approach with Baotou site in China,” J. Appl. Remote Sens. 11(4), 044004 (2017).
[Crossref]

A. Yang, B. Zhong, S. Wu, and Q. Liu, “Radiometric Cross-Calibration of GF-4 in Multispectral Bands,” Remote Sens. 9(3), 232 (2017).
[Crossref]

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
[Crossref]

2016 (2)

X. Xiong, J. Butler, K. Chiang, B. Efremova, J. Fulbright, N. Lei, J. McIntire, H. Oudrari, Z. Wang, and A. Wu, “Assessment of S-NPP VIIRS On-Orbit Radiometric Calibration and Performance,” Remote Sens. 8(2), 84 (2016).
[Crossref]

H. Gao, X. Gu, T. Yu, Y. Sun, and Q. Liu, “Cross-Calibration of GF-1 PMS Sensor with Landsat 8 OLI and Terra MODIS,” IEEE Trans. Geosci. Remote Sensing 54(8), 4847–4854 (2016).
[Crossref]

2015 (2)

J. Czapla-Myers, J. McCorkel, N. Anderson, K. Thome, S. Biggar, D. Helder, D. Aaron, L. Leigh, and N. Mishra, “The Ground-Based Absolute Radiometric Calibration of Landsat 8 OLI,” Remote Sens. 7(1), 600–626 (2015).
[Crossref]

J. Li, X. Chen, L. Tian, and L. Feng, “Tracking radiometric responsivity of optical sensors without on-board calibration systems-case of the Chinese HJ-1A/1B CCD sensors,” Opt. Express 23(2), 1829–1847 (2015).
[Crossref]

2014 (1)

Z. Chen, B. Zhang, H. Zhang, and W. Zhang, “Vicarious Calibration of Beijing-1 Multispectral Imagers,” Remote Sens. 6(2), 1432–1450 (2014).
[Crossref]

2013 (1)

G. Chander, N. Mishra, D. L. Helder, D. B. Aaron, A. Angal, T. Choi, X. Xiong, and D. R. Doelling, “Applications of Spectral Band Adjustment Factors (SBAF) for Cross-Calibration,” IEEE Trans. Geosci. Remote Sensing 51(3), 1267–1281 (2013).
[Crossref]

2009 (1)

G. Chander, B. L. Markham, and D. L. Helder, “Summary of current radiometric calibration coefficients for Landsat MSS, TM, ETM+, and EO-1 ALI sensors,” Remote Sens. Environ. 113(5), 893–903 (2009).
[Crossref]

2007 (1)

G. Chander, B. L. Markham, and J. A. Barsi, “Revised Landsat-5 Thematic Mapper Radiometric Calibration,” IEEE Geosci. Remote Sensing Lett. 4(3), 490–494 (2007).
[Crossref]

2004 (2)

B. L. Markham, K. J. Thome, J. A. Barsi, E. Kaita, D. L. Helder, J. L. Barker, and P. L. Scaramuzza, “Landsat-7 ETM+ on-orbit reflective-band radiometric stability and absolute calibration,” IEEE Trans. Geosci. Remote Sensing 42(12), 2810–2820 (2004).
[Crossref]

S. Liang and H. Fang, “An improved atmospheric correction algorithm for hyperspectral remotely sensed imagery,” IEEE Geosci. Remote Sensing Lett. 1(2), 112–117 (2004).
[Crossref]

2001 (1)

K. Thome, “Absolute radiometric calibration of Landsat 7 ETM+ using the reflectance-based method,” Remote Sens. Environ. 78(1-2), 27–38 (2001).
[Crossref]

1999 (1)

M. Dinguirard and P. N. Slater, “Calibration of Space-Multispectral Imaging Sensors,” Remote Sens. Environ. 68(3), 194–205 (1999).
[Crossref]

1998 (1)

B. N. Holben, T. F. Eck, I. Slutsker, D. Tanré, J. P. Buis, A. Setzer, E. Vermote, J. Reagan, Y. Kaufman, T. Nakajima, F. Lavenu, I. Jankowiak, and A. Smirnov, “AERONET—A Federated Instrument Network and Data Archive for Aerosol Characterization,” Remote Sens. Environ. 66(1), 1–16 (1998).
[Crossref]

1996 (1)

P. N. Slater, S. F. Biggar, K. J. Thome, D. I. Gellman, and P. R. Spyak, “Vicarious Radiometric Calibrations of EOS Sensors,” J. Atmos. Oceanic Technol. 13(2), 349–359 (1996).
[Crossref]

1994 (1)

S. F. Biggar, P. N. Slater, and D. I. Gellman, “Uncertainties in the in-flight calibration of sensors with reference to measured ground sites in the 0.4-1.1 µm range,” Remote Sens. Environ. 48(2), 245–252 (1994).
[Crossref]

1992 (1)

X. Li and A. H. Strahler, “Geometric-optical bidirectional reflectance modeling of the discrete crown vegetation canopy: effect of crown shape and mutual shadowing,” IEEE Trans. Geosci. Remote Sensing 30(2), 276–292 (1992).
[Crossref]

1987 (1)

P. N. Slater, S. F. Biggar, R. G. Holm, R. D. Jackson, Y. Mao, M. S. Moran, J. M. Palmer, and B. Yuan, “Reflectance- and radiance-based methods for the in-flight absolute calibration of multispectral sensors,” Remote Sens. Environ. 22(1), 11–37 (1987).
[Crossref]

1974 (1)

Aaron, D.

J. Czapla-Myers, J. McCorkel, N. Anderson, K. Thome, S. Biggar, D. Helder, D. Aaron, L. Leigh, and N. Mishra, “The Ground-Based Absolute Radiometric Calibration of Landsat 8 OLI,” Remote Sens. 7(1), 600–626 (2015).
[Crossref]

Aaron, D. B.

G. Chander, N. Mishra, D. L. Helder, D. B. Aaron, A. Angal, T. Choi, X. Xiong, and D. R. Doelling, “Applications of Spectral Band Adjustment Factors (SBAF) for Cross-Calibration,” IEEE Trans. Geosci. Remote Sensing 51(3), 1267–1281 (2013).
[Crossref]

Acharya, P.

A. Berk, G. Anderson, P. Acharya, and E. Shettle, “MODTRAN5 5.2.1 user’s manual,” Spectral Sciences Inc., Air Force Research Laboratory: Burlington, MA, USA and Hanscom AFB, MA, USA, (2011).

Aldoretta, E.

X. Xiong, A. Angal, K. Twedt, H. Chen, D. Link, X. Geng, E. Aldoretta, and Q. Mu, “MODIS Reflective Solar Bands On-Orbit Calibration and Performance,” IEEE Trans. Geosci. Remote Sensing 57(9), 6355–6371 (2019).
[Crossref]

Alhammoud, B.

J. A. Barsi, B. Alhammoud, J. Czapla-Myers, F. Gascon, M. O. Haque, M. Kaewmanee, L. Leigh, L. and B, and L. Markham, “Sentinel-2A MSI and Landsat-8 OLI radiometric cross comparison over desert sites,” Eur. J. Remote Sens. 51(1), 822–837 (2018).
[Crossref]

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
[Crossref]

and B, L.

J. A. Barsi, B. Alhammoud, J. Czapla-Myers, F. Gascon, M. O. Haque, M. Kaewmanee, L. Leigh, L. and B, and L. Markham, “Sentinel-2A MSI and Landsat-8 OLI radiometric cross comparison over desert sites,” Eur. J. Remote Sens. 51(1), 822–837 (2018).
[Crossref]

Anderson, G.

A. Berk, G. Anderson, P. Acharya, and E. Shettle, “MODTRAN5 5.2.1 user’s manual,” Spectral Sciences Inc., Air Force Research Laboratory: Burlington, MA, USA and Hanscom AFB, MA, USA, (2011).

Anderson, N.

J. Czapla-Myers, J. McCorkel, N. Anderson, K. Thome, S. Biggar, D. Helder, D. Aaron, L. Leigh, and N. Mishra, “The Ground-Based Absolute Radiometric Calibration of Landsat 8 OLI,” Remote Sens. 7(1), 600–626 (2015).
[Crossref]

Angal, A.

X. Xiong, A. Angal, K. Twedt, H. Chen, D. Link, X. Geng, E. Aldoretta, and Q. Mu, “MODIS Reflective Solar Bands On-Orbit Calibration and Performance,” IEEE Trans. Geosci. Remote Sensing 57(9), 6355–6371 (2019).
[Crossref]

G. Chander, N. Mishra, D. L. Helder, D. B. Aaron, A. Angal, T. Choi, X. Xiong, and D. R. Doelling, “Applications of Spectral Band Adjustment Factors (SBAF) for Cross-Calibration,” IEEE Trans. Geosci. Remote Sensing 51(3), 1267–1281 (2013).
[Crossref]

Bai, T.

Y. Chen, K. Sun, D. Li, T. Bai, and C. Huang, “Radiometric Cross-Calibration of GF-4 PMS Sensor Based on Assimilation of Landsat-8 OLI Images,” Remote Sens. 9(8), 811 (2017).
[Crossref]

Barker, J. L.

B. L. Markham, K. J. Thome, J. A. Barsi, E. Kaita, D. L. Helder, J. L. Barker, and P. L. Scaramuzza, “Landsat-7 ETM+ on-orbit reflective-band radiometric stability and absolute calibration,” IEEE Trans. Geosci. Remote Sensing 42(12), 2810–2820 (2004).
[Crossref]

Barsi, J. A.

J. A. Barsi, B. Alhammoud, J. Czapla-Myers, F. Gascon, M. O. Haque, M. Kaewmanee, L. Leigh, L. and B, and L. Markham, “Sentinel-2A MSI and Landsat-8 OLI radiometric cross comparison over desert sites,” Eur. J. Remote Sens. 51(1), 822–837 (2018).
[Crossref]

G. Chander, B. L. Markham, and J. A. Barsi, “Revised Landsat-5 Thematic Mapper Radiometric Calibration,” IEEE Geosci. Remote Sensing Lett. 4(3), 490–494 (2007).
[Crossref]

B. L. Markham, K. J. Thome, J. A. Barsi, E. Kaita, D. L. Helder, J. L. Barker, and P. L. Scaramuzza, “Landsat-7 ETM+ on-orbit reflective-band radiometric stability and absolute calibration,” IEEE Trans. Geosci. Remote Sensing 42(12), 2810–2820 (2004).
[Crossref]

Berk, A.

A. Berk, G. Anderson, P. Acharya, and E. Shettle, “MODTRAN5 5.2.1 user’s manual,” Spectral Sciences Inc., Air Force Research Laboratory: Burlington, MA, USA and Hanscom AFB, MA, USA, (2011).

Bieniarz, J.

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
[Crossref]

Biggar, S.

J. Czapla-Myers, J. McCorkel, N. Anderson, K. Thome, S. Biggar, D. Helder, D. Aaron, L. Leigh, and N. Mishra, “The Ground-Based Absolute Radiometric Calibration of Landsat 8 OLI,” Remote Sens. 7(1), 600–626 (2015).
[Crossref]

Biggar, S. F.

P. N. Slater, S. F. Biggar, K. J. Thome, D. I. Gellman, and P. R. Spyak, “Vicarious Radiometric Calibrations of EOS Sensors,” J. Atmos. Oceanic Technol. 13(2), 349–359 (1996).
[Crossref]

S. F. Biggar, P. N. Slater, and D. I. Gellman, “Uncertainties in the in-flight calibration of sensors with reference to measured ground sites in the 0.4-1.1 µm range,” Remote Sens. Environ. 48(2), 245–252 (1994).
[Crossref]

P. N. Slater, S. F. Biggar, R. G. Holm, R. D. Jackson, Y. Mao, M. S. Moran, J. M. Palmer, and B. Yuan, “Reflectance- and radiance-based methods for the in-flight absolute calibration of multispectral sensors,” Remote Sens. Environ. 22(1), 11–37 (1987).
[Crossref]

S. F. Biggar, R. P. Santer, and P. N. Slater, “Irradiance-based Calibration of Imaging Sensors,” 10th Annual International Symposium on Geoscience and Remote Sensing. (1990).

S. F. Biggar, “In-flight methods for satellite sensor absolute radiometric calibration,” The University of Arizona. (1990).

Bonis, R.

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
[Crossref]

Bouzinac, C.

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
[Crossref]

Buis, J. P.

B. N. Holben, T. F. Eck, I. Slutsker, D. Tanré, J. P. Buis, A. Setzer, E. Vermote, J. Reagan, Y. Kaufman, T. Nakajima, F. Lavenu, I. Jankowiak, and A. Smirnov, “AERONET—A Federated Instrument Network and Data Archive for Aerosol Characterization,” Remote Sens. Environ. 66(1), 1–16 (1998).
[Crossref]

Butler, J.

X. Xiong, J. Butler, K. Chiang, B. Efremova, J. Fulbright, N. Lei, J. McIntire, H. Oudrari, Z. Wang, and A. Wu, “Assessment of S-NPP VIIRS On-Orbit Radiometric Calibration and Performance,” Remote Sens. 8(2), 84 (2016).
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F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
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G. Chander, N. Mishra, D. L. Helder, D. B. Aaron, A. Angal, T. Choi, X. Xiong, and D. R. Doelling, “Applications of Spectral Band Adjustment Factors (SBAF) for Cross-Calibration,” IEEE Trans. Geosci. Remote Sensing 51(3), 1267–1281 (2013).
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G. Chander, B. L. Markham, and D. L. Helder, “Summary of current radiometric calibration coefficients for Landsat MSS, TM, ETM+, and EO-1 ALI sensors,” Remote Sens. Environ. 113(5), 893–903 (2009).
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G. Chander, B. L. Markham, and J. A. Barsi, “Revised Landsat-5 Thematic Mapper Radiometric Calibration,” IEEE Geosci. Remote Sensing Lett. 4(3), 490–494 (2007).
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Chen, H.

X. Xiong, A. Angal, K. Twedt, H. Chen, D. Link, X. Geng, E. Aldoretta, and Q. Mu, “MODIS Reflective Solar Bands On-Orbit Calibration and Performance,” IEEE Trans. Geosci. Remote Sensing 57(9), 6355–6371 (2019).
[Crossref]

Chen, X.

Chen, Y.

Y. Chen, K. Sun, D. Li, T. Bai, and C. Huang, “Radiometric Cross-Calibration of GF-4 PMS Sensor Based on Assimilation of Landsat-8 OLI Images,” Remote Sens. 9(8), 811 (2017).
[Crossref]

Chen, Z.

H. Zhang, B. Zhang, Z. Chen, and Z. Huang, “Vicarious Radiometric Calibration of the Hyperspectral Imaging Microsatellites SPARK-01 and -02 over Dunhuang, China,” Remote Sens. 10(1), 120 (2018).
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Z. Chen, B. Zhang, H. Zhang, and W. Zhang, “Vicarious Calibration of Beijing-1 Multispectral Imagers,” Remote Sens. 6(2), 1432–1450 (2014).
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Chiang, K.

X. Xiong, J. Butler, K. Chiang, B. Efremova, J. Fulbright, N. Lei, J. McIntire, H. Oudrari, Z. Wang, and A. Wu, “Assessment of S-NPP VIIRS On-Orbit Radiometric Calibration and Performance,” Remote Sens. 8(2), 84 (2016).
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Choi, T.

G. Chander, N. Mishra, D. L. Helder, D. B. Aaron, A. Angal, T. Choi, X. Xiong, and D. R. Doelling, “Applications of Spectral Band Adjustment Factors (SBAF) for Cross-Calibration,” IEEE Trans. Geosci. Remote Sensing 51(3), 1267–1281 (2013).
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Clerc, S.

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
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Czapla-Myers, J.

J. A. Barsi, B. Alhammoud, J. Czapla-Myers, F. Gascon, M. O. Haque, M. Kaewmanee, L. Leigh, L. and B, and L. Markham, “Sentinel-2A MSI and Landsat-8 OLI radiometric cross comparison over desert sites,” Eur. J. Remote Sens. 51(1), 822–837 (2018).
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J. Czapla-Myers, J. McCorkel, N. Anderson, K. Thome, S. Biggar, D. Helder, D. Aaron, L. Leigh, and N. Mishra, “The Ground-Based Absolute Radiometric Calibration of Landsat 8 OLI,” Remote Sens. 7(1), 600–626 (2015).
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C. Revel, V. Lonjou, S. Marcq, C. Desjardins, B. Fougnie, C. Luche, N. Guilleminot, A. Lacamp, E. Lourme, C. Miquel, and X. Lenot, “Sentinel-2A and 2B absolute calibration monitoring,” Eur. J. Remote Sens. 52(1), 122–137 (2019).
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M. Dinguirard and P. N. Slater, “Calibration of Space-Multispectral Imaging Sensors,” Remote Sens. Environ. 68(3), 194–205 (1999).
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Doelling, D. R.

G. Chander, N. Mishra, D. L. Helder, D. B. Aaron, A. Angal, T. Choi, X. Xiong, and D. R. Doelling, “Applications of Spectral Band Adjustment Factors (SBAF) for Cross-Calibration,” IEEE Trans. Geosci. Remote Sensing 51(3), 1267–1281 (2013).
[Crossref]

Eck, T. F.

B. N. Holben, T. F. Eck, I. Slutsker, D. Tanré, J. P. Buis, A. Setzer, E. Vermote, J. Reagan, Y. Kaufman, T. Nakajima, F. Lavenu, I. Jankowiak, and A. Smirnov, “AERONET—A Federated Instrument Network and Data Archive for Aerosol Characterization,” Remote Sens. Environ. 66(1), 1–16 (1998).
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Efremova, B.

X. Xiong, J. Butler, K. Chiang, B. Efremova, J. Fulbright, N. Lei, J. McIntire, H. Oudrari, Z. Wang, and A. Wu, “Assessment of S-NPP VIIRS On-Orbit Radiometric Calibration and Performance,” Remote Sens. 8(2), 84 (2016).
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Fang, H.

S. Liang and H. Fang, “An improved atmospheric correction algorithm for hyperspectral remotely sensed imagery,” IEEE Geosci. Remote Sensing Lett. 1(2), 112–117 (2004).
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Feng, L.

Fernandez, V.

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
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Fougnie, B.

C. Revel, V. Lonjou, S. Marcq, C. Desjardins, B. Fougnie, C. Luche, N. Guilleminot, A. Lacamp, E. Lourme, C. Miquel, and X. Lenot, “Sentinel-2A and 2B absolute calibration monitoring,” Eur. J. Remote Sens. 52(1), 122–137 (2019).
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Francesconi, B.

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
[Crossref]

Fulbright, J.

X. Xiong, J. Butler, K. Chiang, B. Efremova, J. Fulbright, N. Lei, J. McIntire, H. Oudrari, Z. Wang, and A. Wu, “Assessment of S-NPP VIIRS On-Orbit Radiometric Calibration and Performance,” Remote Sens. 8(2), 84 (2016).
[Crossref]

Gao, H.

H. Gao, X. Gu, T. Yu, Y. Sun, and Q. Liu, “Cross-Calibration of GF-1 PMS Sensor with Landsat 8 OLI and Terra MODIS,” IEEE Trans. Geosci. Remote Sensing 54(8), 4847–4854 (2016).
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Gascon, F.

J. A. Barsi, B. Alhammoud, J. Czapla-Myers, F. Gascon, M. O. Haque, M. Kaewmanee, L. Leigh, L. and B, and L. Markham, “Sentinel-2A MSI and Landsat-8 OLI radiometric cross comparison over desert sites,” Eur. J. Remote Sens. 51(1), 822–837 (2018).
[Crossref]

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
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Gaudel-Vacaresse, A.

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
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Gellman, D. I.

P. N. Slater, S. F. Biggar, K. J. Thome, D. I. Gellman, and P. R. Spyak, “Vicarious Radiometric Calibrations of EOS Sensors,” J. Atmos. Oceanic Technol. 13(2), 349–359 (1996).
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S. F. Biggar, P. N. Slater, and D. I. Gellman, “Uncertainties in the in-flight calibration of sensors with reference to measured ground sites in the 0.4-1.1 µm range,” Remote Sens. Environ. 48(2), 245–252 (1994).
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Geng, X.

X. Xiong, A. Angal, K. Twedt, H. Chen, D. Link, X. Geng, E. Aldoretta, and Q. Mu, “MODIS Reflective Solar Bands On-Orbit Calibration and Performance,” IEEE Trans. Geosci. Remote Sensing 57(9), 6355–6371 (2019).
[Crossref]

Gu, X.

H. Gao, X. Gu, T. Yu, Y. Sun, and Q. Liu, “Cross-Calibration of GF-1 PMS Sensor with Landsat 8 OLI and Terra MODIS,” IEEE Trans. Geosci. Remote Sensing 54(8), 4847–4854 (2016).
[Crossref]

Guilleminot, N.

C. Revel, V. Lonjou, S. Marcq, C. Desjardins, B. Fougnie, C. Luche, N. Guilleminot, A. Lacamp, E. Lourme, C. Miquel, and X. Lenot, “Sentinel-2A and 2B absolute calibration monitoring,” Eur. J. Remote Sens. 52(1), 122–137 (2019).
[Crossref]

Haque, M. O.

J. A. Barsi, B. Alhammoud, J. Czapla-Myers, F. Gascon, M. O. Haque, M. Kaewmanee, L. Leigh, L. and B, and L. Markham, “Sentinel-2A MSI and Landsat-8 OLI radiometric cross comparison over desert sites,” Eur. J. Remote Sens. 51(1), 822–837 (2018).
[Crossref]

Helder, D.

J. Czapla-Myers, J. McCorkel, N. Anderson, K. Thome, S. Biggar, D. Helder, D. Aaron, L. Leigh, and N. Mishra, “The Ground-Based Absolute Radiometric Calibration of Landsat 8 OLI,” Remote Sens. 7(1), 600–626 (2015).
[Crossref]

Helder, D. L.

G. Chander, N. Mishra, D. L. Helder, D. B. Aaron, A. Angal, T. Choi, X. Xiong, and D. R. Doelling, “Applications of Spectral Band Adjustment Factors (SBAF) for Cross-Calibration,” IEEE Trans. Geosci. Remote Sensing 51(3), 1267–1281 (2013).
[Crossref]

G. Chander, B. L. Markham, and D. L. Helder, “Summary of current radiometric calibration coefficients for Landsat MSS, TM, ETM+, and EO-1 ALI sensors,” Remote Sens. Environ. 113(5), 893–903 (2009).
[Crossref]

B. L. Markham, K. J. Thome, J. A. Barsi, E. Kaita, D. L. Helder, J. L. Barker, and P. L. Scaramuzza, “Landsat-7 ETM+ on-orbit reflective-band radiometric stability and absolute calibration,” IEEE Trans. Geosci. Remote Sensing 42(12), 2810–2820 (2004).
[Crossref]

Holben, B. N.

B. N. Holben, T. F. Eck, I. Slutsker, D. Tanré, J. P. Buis, A. Setzer, E. Vermote, J. Reagan, Y. Kaufman, T. Nakajima, F. Lavenu, I. Jankowiak, and A. Smirnov, “AERONET—A Federated Instrument Network and Data Archive for Aerosol Characterization,” Remote Sens. Environ. 66(1), 1–16 (1998).
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Holm, R. G.

P. N. Slater, S. F. Biggar, R. G. Holm, R. D. Jackson, Y. Mao, M. S. Moran, J. M. Palmer, and B. Yuan, “Reflectance- and radiance-based methods for the in-flight absolute calibration of multispectral sensors,” Remote Sens. Environ. 22(1), 11–37 (1987).
[Crossref]

Horan, J. J.

Huang, C.

Y. Chen, K. Sun, D. Li, T. Bai, and C. Huang, “Radiometric Cross-Calibration of GF-4 PMS Sensor Based on Assimilation of Landsat-8 OLI Images,” Remote Sens. 9(8), 811 (2017).
[Crossref]

Huang, Z.

H. Zhang, B. Zhang, Z. Chen, and Z. Huang, “Vicarious Radiometric Calibration of the Hyperspectral Imaging Microsatellites SPARK-01 and -02 over Dunhuang, China,” Remote Sens. 10(1), 120 (2018).
[Crossref]

Isola, C.

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
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Jackson, R. D.

P. N. Slater, S. F. Biggar, R. G. Holm, R. D. Jackson, Y. Mao, M. S. Moran, J. M. Palmer, and B. Yuan, “Reflectance- and radiance-based methods for the in-flight absolute calibration of multispectral sensors,” Remote Sens. Environ. 22(1), 11–37 (1987).
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Jankowiak, I.

B. N. Holben, T. F. Eck, I. Slutsker, D. Tanré, J. P. Buis, A. Setzer, E. Vermote, J. Reagan, Y. Kaufman, T. Nakajima, F. Lavenu, I. Jankowiak, and A. Smirnov, “AERONET—A Federated Instrument Network and Data Archive for Aerosol Characterization,” Remote Sens. Environ. 66(1), 1–16 (1998).
[Crossref]

Jung, M.

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
[Crossref]

Kaewmanee, M.

J. A. Barsi, B. Alhammoud, J. Czapla-Myers, F. Gascon, M. O. Haque, M. Kaewmanee, L. Leigh, L. and B, and L. Markham, “Sentinel-2A MSI and Landsat-8 OLI radiometric cross comparison over desert sites,” Eur. J. Remote Sens. 51(1), 822–837 (2018).
[Crossref]

Kaita, E.

B. L. Markham, K. J. Thome, J. A. Barsi, E. Kaita, D. L. Helder, J. L. Barker, and P. L. Scaramuzza, “Landsat-7 ETM+ on-orbit reflective-band radiometric stability and absolute calibration,” IEEE Trans. Geosci. Remote Sensing 42(12), 2810–2820 (2004).
[Crossref]

Kaufman, Y.

B. N. Holben, T. F. Eck, I. Slutsker, D. Tanré, J. P. Buis, A. Setzer, E. Vermote, J. Reagan, Y. Kaufman, T. Nakajima, F. Lavenu, I. Jankowiak, and A. Smirnov, “AERONET—A Federated Instrument Network and Data Archive for Aerosol Characterization,” Remote Sens. Environ. 66(1), 1–16 (1998).
[Crossref]

Lacamp, A.

C. Revel, V. Lonjou, S. Marcq, C. Desjardins, B. Fougnie, C. Luche, N. Guilleminot, A. Lacamp, E. Lourme, C. Miquel, and X. Lenot, “Sentinel-2A and 2B absolute calibration monitoring,” Eur. J. Remote Sens. 52(1), 122–137 (2019).
[Crossref]

Lafrance, B.

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
[Crossref]

Languille, F.

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
[Crossref]

Lavenu, F.

B. N. Holben, T. F. Eck, I. Slutsker, D. Tanré, J. P. Buis, A. Setzer, E. Vermote, J. Reagan, Y. Kaufman, T. Nakajima, F. Lavenu, I. Jankowiak, and A. Smirnov, “AERONET—A Federated Instrument Network and Data Archive for Aerosol Characterization,” Remote Sens. Environ. 66(1), 1–16 (1998).
[Crossref]

Lei, N.

X. Xiong, J. Butler, K. Chiang, B. Efremova, J. Fulbright, N. Lei, J. McIntire, H. Oudrari, Z. Wang, and A. Wu, “Assessment of S-NPP VIIRS On-Orbit Radiometric Calibration and Performance,” Remote Sens. 8(2), 84 (2016).
[Crossref]

Leigh, L.

J. A. Barsi, B. Alhammoud, J. Czapla-Myers, F. Gascon, M. O. Haque, M. Kaewmanee, L. Leigh, L. and B, and L. Markham, “Sentinel-2A MSI and Landsat-8 OLI radiometric cross comparison over desert sites,” Eur. J. Remote Sens. 51(1), 822–837 (2018).
[Crossref]

J. Czapla-Myers, J. McCorkel, N. Anderson, K. Thome, S. Biggar, D. Helder, D. Aaron, L. Leigh, and N. Mishra, “The Ground-Based Absolute Radiometric Calibration of Landsat 8 OLI,” Remote Sens. 7(1), 600–626 (2015).
[Crossref]

Lenot, X.

C. Revel, V. Lonjou, S. Marcq, C. Desjardins, B. Fougnie, C. Luche, N. Guilleminot, A. Lacamp, E. Lourme, C. Miquel, and X. Lenot, “Sentinel-2A and 2B absolute calibration monitoring,” Eur. J. Remote Sens. 52(1), 122–137 (2019).
[Crossref]

Li, C.

Y. Liu, L. Ma, N. Wang, Y. Qian, S. Qiu, C. Li, and L. Tang, “Vicarious radiometric calibration/validation of Landsat-8 operational land imager using a ground reflected radiance-based approach with Baotou site in China,” J. Appl. Remote Sens. 11(4), 044004 (2017).
[Crossref]

Li, D.

Y. Chen, K. Sun, D. Li, T. Bai, and C. Huang, “Radiometric Cross-Calibration of GF-4 PMS Sensor Based on Assimilation of Landsat-8 OLI Images,” Remote Sens. 9(8), 811 (2017).
[Crossref]

Li, J.

Li, X.

X. Li and A. H. Strahler, “Geometric-optical bidirectional reflectance modeling of the discrete crown vegetation canopy: effect of crown shape and mutual shadowing,” IEEE Trans. Geosci. Remote Sensing 30(2), 276–292 (1992).
[Crossref]

Liang, S.

S. Liang and H. Fang, “An improved atmospheric correction algorithm for hyperspectral remotely sensed imagery,” IEEE Geosci. Remote Sensing Lett. 1(2), 112–117 (2004).
[Crossref]

Link, D.

X. Xiong, A. Angal, K. Twedt, H. Chen, D. Link, X. Geng, E. Aldoretta, and Q. Mu, “MODIS Reflective Solar Bands On-Orbit Calibration and Performance,” IEEE Trans. Geosci. Remote Sensing 57(9), 6355–6371 (2019).
[Crossref]

Liu, Q.

A. Yang, B. Zhong, S. Wu, and Q. Liu, “Radiometric Cross-Calibration of GF-4 in Multispectral Bands,” Remote Sens. 9(3), 232 (2017).
[Crossref]

H. Gao, X. Gu, T. Yu, Y. Sun, and Q. Liu, “Cross-Calibration of GF-1 PMS Sensor with Landsat 8 OLI and Terra MODIS,” IEEE Trans. Geosci. Remote Sensing 54(8), 4847–4854 (2016).
[Crossref]

Liu, Y.

Y. Liu, L. Ma, N. Wang, Y. Qian, S. Qiu, C. Li, and L. Tang, “Vicarious radiometric calibration/validation of Landsat-8 operational land imager using a ground reflected radiance-based approach with Baotou site in China,” J. Appl. Remote Sens. 11(4), 044004 (2017).
[Crossref]

Lonjou, V.

C. Revel, V. Lonjou, S. Marcq, C. Desjardins, B. Fougnie, C. Luche, N. Guilleminot, A. Lacamp, E. Lourme, C. Miquel, and X. Lenot, “Sentinel-2A and 2B absolute calibration monitoring,” Eur. J. Remote Sens. 52(1), 122–137 (2019).
[Crossref]

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
[Crossref]

Louis, J.

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
[Crossref]

Lourme, E.

C. Revel, V. Lonjou, S. Marcq, C. Desjardins, B. Fougnie, C. Luche, N. Guilleminot, A. Lacamp, E. Lourme, C. Miquel, and X. Lenot, “Sentinel-2A and 2B absolute calibration monitoring,” Eur. J. Remote Sens. 52(1), 122–137 (2019).
[Crossref]

Love, J. D.

Luche, C.

C. Revel, V. Lonjou, S. Marcq, C. Desjardins, B. Fougnie, C. Luche, N. Guilleminot, A. Lacamp, E. Lourme, C. Miquel, and X. Lenot, “Sentinel-2A and 2B absolute calibration monitoring,” Eur. J. Remote Sens. 52(1), 122–137 (2019).
[Crossref]

Ma, L.

Y. Liu, L. Ma, N. Wang, Y. Qian, S. Qiu, C. Li, and L. Tang, “Vicarious radiometric calibration/validation of Landsat-8 operational land imager using a ground reflected radiance-based approach with Baotou site in China,” J. Appl. Remote Sens. 11(4), 044004 (2017).
[Crossref]

Mao, Y.

P. N. Slater, S. F. Biggar, R. G. Holm, R. D. Jackson, Y. Mao, M. S. Moran, J. M. Palmer, and B. Yuan, “Reflectance- and radiance-based methods for the in-flight absolute calibration of multispectral sensors,” Remote Sens. Environ. 22(1), 11–37 (1987).
[Crossref]

Marcq, S.

C. Revel, V. Lonjou, S. Marcq, C. Desjardins, B. Fougnie, C. Luche, N. Guilleminot, A. Lacamp, E. Lourme, C. Miquel, and X. Lenot, “Sentinel-2A and 2B absolute calibration monitoring,” Eur. J. Remote Sens. 52(1), 122–137 (2019).
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Markham, B. L.

G. Chander, B. L. Markham, and D. L. Helder, “Summary of current radiometric calibration coefficients for Landsat MSS, TM, ETM+, and EO-1 ALI sensors,” Remote Sens. Environ. 113(5), 893–903 (2009).
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G. Chander, B. L. Markham, and J. A. Barsi, “Revised Landsat-5 Thematic Mapper Radiometric Calibration,” IEEE Geosci. Remote Sensing Lett. 4(3), 490–494 (2007).
[Crossref]

B. L. Markham, K. J. Thome, J. A. Barsi, E. Kaita, D. L. Helder, J. L. Barker, and P. L. Scaramuzza, “Landsat-7 ETM+ on-orbit reflective-band radiometric stability and absolute calibration,” IEEE Trans. Geosci. Remote Sensing 42(12), 2810–2820 (2004).
[Crossref]

Markham, L.

J. A. Barsi, B. Alhammoud, J. Czapla-Myers, F. Gascon, M. O. Haque, M. Kaewmanee, L. Leigh, L. and B, and L. Markham, “Sentinel-2A MSI and Landsat-8 OLI radiometric cross comparison over desert sites,” Eur. J. Remote Sens. 51(1), 822–837 (2018).
[Crossref]

Martimort, P.

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
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F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
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J. Czapla-Myers, J. McCorkel, N. Anderson, K. Thome, S. Biggar, D. Helder, D. Aaron, L. Leigh, and N. Mishra, “The Ground-Based Absolute Radiometric Calibration of Landsat 8 OLI,” Remote Sens. 7(1), 600–626 (2015).
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X. Xiong, J. Butler, K. Chiang, B. Efremova, J. Fulbright, N. Lei, J. McIntire, H. Oudrari, Z. Wang, and A. Wu, “Assessment of S-NPP VIIRS On-Orbit Radiometric Calibration and Performance,” Remote Sens. 8(2), 84 (2016).
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C. Revel, V. Lonjou, S. Marcq, C. Desjardins, B. Fougnie, C. Luche, N. Guilleminot, A. Lacamp, E. Lourme, C. Miquel, and X. Lenot, “Sentinel-2A and 2B absolute calibration monitoring,” Eur. J. Remote Sens. 52(1), 122–137 (2019).
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J. Czapla-Myers, J. McCorkel, N. Anderson, K. Thome, S. Biggar, D. Helder, D. Aaron, L. Leigh, and N. Mishra, “The Ground-Based Absolute Radiometric Calibration of Landsat 8 OLI,” Remote Sens. 7(1), 600–626 (2015).
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G. Chander, N. Mishra, D. L. Helder, D. B. Aaron, A. Angal, T. Choi, X. Xiong, and D. R. Doelling, “Applications of Spectral Band Adjustment Factors (SBAF) for Cross-Calibration,” IEEE Trans. Geosci. Remote Sensing 51(3), 1267–1281 (2013).
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Moran, M. S.

P. N. Slater, S. F. Biggar, R. G. Holm, R. D. Jackson, Y. Mao, M. S. Moran, J. M. Palmer, and B. Yuan, “Reflectance- and radiance-based methods for the in-flight absolute calibration of multispectral sensors,” Remote Sens. Environ. 22(1), 11–37 (1987).
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X. Xiong, A. Angal, K. Twedt, H. Chen, D. Link, X. Geng, E. Aldoretta, and Q. Mu, “MODIS Reflective Solar Bands On-Orbit Calibration and Performance,” IEEE Trans. Geosci. Remote Sensing 57(9), 6355–6371 (2019).
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B. N. Holben, T. F. Eck, I. Slutsker, D. Tanré, J. P. Buis, A. Setzer, E. Vermote, J. Reagan, Y. Kaufman, T. Nakajima, F. Lavenu, I. Jankowiak, and A. Smirnov, “AERONET—A Federated Instrument Network and Data Archive for Aerosol Characterization,” Remote Sens. Environ. 66(1), 1–16 (1998).
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X. Xiong, J. Butler, K. Chiang, B. Efremova, J. Fulbright, N. Lei, J. McIntire, H. Oudrari, Z. Wang, and A. Wu, “Assessment of S-NPP VIIRS On-Orbit Radiometric Calibration and Performance,” Remote Sens. 8(2), 84 (2016).
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P. N. Slater, S. F. Biggar, R. G. Holm, R. D. Jackson, Y. Mao, M. S. Moran, J. M. Palmer, and B. Yuan, “Reflectance- and radiance-based methods for the in-flight absolute calibration of multispectral sensors,” Remote Sens. Environ. 22(1), 11–37 (1987).
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F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
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F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
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Y. Liu, L. Ma, N. Wang, Y. Qian, S. Qiu, C. Li, and L. Tang, “Vicarious radiometric calibration/validation of Landsat-8 operational land imager using a ground reflected radiance-based approach with Baotou site in China,” J. Appl. Remote Sens. 11(4), 044004 (2017).
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Y. Liu, L. Ma, N. Wang, Y. Qian, S. Qiu, C. Li, and L. Tang, “Vicarious radiometric calibration/validation of Landsat-8 operational land imager using a ground reflected radiance-based approach with Baotou site in China,” J. Appl. Remote Sens. 11(4), 044004 (2017).
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C. Revel, V. Lonjou, S. Marcq, C. Desjardins, B. Fougnie, C. Luche, N. Guilleminot, A. Lacamp, E. Lourme, C. Miquel, and X. Lenot, “Sentinel-2A and 2B absolute calibration monitoring,” Eur. J. Remote Sens. 52(1), 122–137 (2019).
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B. L. Markham, K. J. Thome, J. A. Barsi, E. Kaita, D. L. Helder, J. L. Barker, and P. L. Scaramuzza, “Landsat-7 ETM+ on-orbit reflective-band radiometric stability and absolute calibration,” IEEE Trans. Geosci. Remote Sensing 42(12), 2810–2820 (2004).
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Setzer, A.

B. N. Holben, T. F. Eck, I. Slutsker, D. Tanré, J. P. Buis, A. Setzer, E. Vermote, J. Reagan, Y. Kaufman, T. Nakajima, F. Lavenu, I. Jankowiak, and A. Smirnov, “AERONET—A Federated Instrument Network and Data Archive for Aerosol Characterization,” Remote Sens. Environ. 66(1), 1–16 (1998).
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M. Dinguirard and P. N. Slater, “Calibration of Space-Multispectral Imaging Sensors,” Remote Sens. Environ. 68(3), 194–205 (1999).
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P. N. Slater, S. F. Biggar, K. J. Thome, D. I. Gellman, and P. R. Spyak, “Vicarious Radiometric Calibrations of EOS Sensors,” J. Atmos. Oceanic Technol. 13(2), 349–359 (1996).
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S. F. Biggar, P. N. Slater, and D. I. Gellman, “Uncertainties in the in-flight calibration of sensors with reference to measured ground sites in the 0.4-1.1 µm range,” Remote Sens. Environ. 48(2), 245–252 (1994).
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P. N. Slater, S. F. Biggar, R. G. Holm, R. D. Jackson, Y. Mao, M. S. Moran, J. M. Palmer, and B. Yuan, “Reflectance- and radiance-based methods for the in-flight absolute calibration of multispectral sensors,” Remote Sens. Environ. 22(1), 11–37 (1987).
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S. F. Biggar, R. P. Santer, and P. N. Slater, “Irradiance-based Calibration of Imaging Sensors,” 10th Annual International Symposium on Geoscience and Remote Sensing. (1990).

Slutsker, I.

B. N. Holben, T. F. Eck, I. Slutsker, D. Tanré, J. P. Buis, A. Setzer, E. Vermote, J. Reagan, Y. Kaufman, T. Nakajima, F. Lavenu, I. Jankowiak, and A. Smirnov, “AERONET—A Federated Instrument Network and Data Archive for Aerosol Characterization,” Remote Sens. Environ. 66(1), 1–16 (1998).
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Smirnov, A.

B. N. Holben, T. F. Eck, I. Slutsker, D. Tanré, J. P. Buis, A. Setzer, E. Vermote, J. Reagan, Y. Kaufman, T. Nakajima, F. Lavenu, I. Jankowiak, and A. Smirnov, “AERONET—A Federated Instrument Network and Data Archive for Aerosol Characterization,” Remote Sens. Environ. 66(1), 1–16 (1998).
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Spyak, P. R.

P. N. Slater, S. F. Biggar, K. J. Thome, D. I. Gellman, and P. R. Spyak, “Vicarious Radiometric Calibrations of EOS Sensors,” J. Atmos. Oceanic Technol. 13(2), 349–359 (1996).
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Strahler, A. H.

X. Li and A. H. Strahler, “Geometric-optical bidirectional reflectance modeling of the discrete crown vegetation canopy: effect of crown shape and mutual shadowing,” IEEE Trans. Geosci. Remote Sensing 30(2), 276–292 (1992).
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Y. Chen, K. Sun, D. Li, T. Bai, and C. Huang, “Radiometric Cross-Calibration of GF-4 PMS Sensor Based on Assimilation of Landsat-8 OLI Images,” Remote Sens. 9(8), 811 (2017).
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Sun, Y.

H. Gao, X. Gu, T. Yu, Y. Sun, and Q. Liu, “Cross-Calibration of GF-1 PMS Sensor with Landsat 8 OLI and Terra MODIS,” IEEE Trans. Geosci. Remote Sensing 54(8), 4847–4854 (2016).
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Y. Liu, L. Ma, N. Wang, Y. Qian, S. Qiu, C. Li, and L. Tang, “Vicarious radiometric calibration/validation of Landsat-8 operational land imager using a ground reflected radiance-based approach with Baotou site in China,” J. Appl. Remote Sens. 11(4), 044004 (2017).
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B. N. Holben, T. F. Eck, I. Slutsker, D. Tanré, J. P. Buis, A. Setzer, E. Vermote, J. Reagan, Y. Kaufman, T. Nakajima, F. Lavenu, I. Jankowiak, and A. Smirnov, “AERONET—A Federated Instrument Network and Data Archive for Aerosol Characterization,” Remote Sens. Environ. 66(1), 1–16 (1998).
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F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
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J. Czapla-Myers, J. McCorkel, N. Anderson, K. Thome, S. Biggar, D. Helder, D. Aaron, L. Leigh, and N. Mishra, “The Ground-Based Absolute Radiometric Calibration of Landsat 8 OLI,” Remote Sens. 7(1), 600–626 (2015).
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Thome, K. J.

B. L. Markham, K. J. Thome, J. A. Barsi, E. Kaita, D. L. Helder, J. L. Barker, and P. L. Scaramuzza, “Landsat-7 ETM+ on-orbit reflective-band radiometric stability and absolute calibration,” IEEE Trans. Geosci. Remote Sensing 42(12), 2810–2820 (2004).
[Crossref]

P. N. Slater, S. F. Biggar, K. J. Thome, D. I. Gellman, and P. R. Spyak, “Vicarious Radiometric Calibrations of EOS Sensors,” J. Atmos. Oceanic Technol. 13(2), 349–359 (1996).
[Crossref]

Tian, L.

Trémas, T.

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
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X. Xiong, A. Angal, K. Twedt, H. Chen, D. Link, X. Geng, E. Aldoretta, and Q. Mu, “MODIS Reflective Solar Bands On-Orbit Calibration and Performance,” IEEE Trans. Geosci. Remote Sensing 57(9), 6355–6371 (2019).
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B. N. Holben, T. F. Eck, I. Slutsker, D. Tanré, J. P. Buis, A. Setzer, E. Vermote, J. Reagan, Y. Kaufman, T. Nakajima, F. Lavenu, I. Jankowiak, and A. Smirnov, “AERONET—A Federated Instrument Network and Data Archive for Aerosol Characterization,” Remote Sens. Environ. 66(1), 1–16 (1998).
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F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
[Crossref]

Wang, N.

Y. Liu, L. Ma, N. Wang, Y. Qian, S. Qiu, C. Li, and L. Tang, “Vicarious radiometric calibration/validation of Landsat-8 operational land imager using a ground reflected radiance-based approach with Baotou site in China,” J. Appl. Remote Sens. 11(4), 044004 (2017).
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Wang, Z.

X. Xiong, J. Butler, K. Chiang, B. Efremova, J. Fulbright, N. Lei, J. McIntire, H. Oudrari, Z. Wang, and A. Wu, “Assessment of S-NPP VIIRS On-Orbit Radiometric Calibration and Performance,” Remote Sens. 8(2), 84 (2016).
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Wu, A.

X. Xiong, J. Butler, K. Chiang, B. Efremova, J. Fulbright, N. Lei, J. McIntire, H. Oudrari, Z. Wang, and A. Wu, “Assessment of S-NPP VIIRS On-Orbit Radiometric Calibration and Performance,” Remote Sens. 8(2), 84 (2016).
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Wu, S.

A. Yang, B. Zhong, S. Wu, and Q. Liu, “Radiometric Cross-Calibration of GF-4 in Multispectral Bands,” Remote Sens. 9(3), 232 (2017).
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Xiong, X.

X. Xiong, A. Angal, K. Twedt, H. Chen, D. Link, X. Geng, E. Aldoretta, and Q. Mu, “MODIS Reflective Solar Bands On-Orbit Calibration and Performance,” IEEE Trans. Geosci. Remote Sensing 57(9), 6355–6371 (2019).
[Crossref]

X. Xiong, J. Butler, K. Chiang, B. Efremova, J. Fulbright, N. Lei, J. McIntire, H. Oudrari, Z. Wang, and A. Wu, “Assessment of S-NPP VIIRS On-Orbit Radiometric Calibration and Performance,” Remote Sens. 8(2), 84 (2016).
[Crossref]

G. Chander, N. Mishra, D. L. Helder, D. B. Aaron, A. Angal, T. Choi, X. Xiong, and D. R. Doelling, “Applications of Spectral Band Adjustment Factors (SBAF) for Cross-Calibration,” IEEE Trans. Geosci. Remote Sensing 51(3), 1267–1281 (2013).
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Yang, A.

A. Yang, B. Zhong, S. Wu, and Q. Liu, “Radiometric Cross-Calibration of GF-4 in Multispectral Bands,” Remote Sens. 9(3), 232 (2017).
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Yu, T.

H. Gao, X. Gu, T. Yu, Y. Sun, and Q. Liu, “Cross-Calibration of GF-1 PMS Sensor with Landsat 8 OLI and Terra MODIS,” IEEE Trans. Geosci. Remote Sensing 54(8), 4847–4854 (2016).
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Yuan, B.

P. N. Slater, S. F. Biggar, R. G. Holm, R. D. Jackson, Y. Mao, M. S. Moran, J. M. Palmer, and B. Yuan, “Reflectance- and radiance-based methods for the in-flight absolute calibration of multispectral sensors,” Remote Sens. Environ. 22(1), 11–37 (1987).
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Zhang, B.

H. Zhang, B. Zhang, Z. Chen, and Z. Huang, “Vicarious Radiometric Calibration of the Hyperspectral Imaging Microsatellites SPARK-01 and -02 over Dunhuang, China,” Remote Sens. 10(1), 120 (2018).
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Z. Chen, B. Zhang, H. Zhang, and W. Zhang, “Vicarious Calibration of Beijing-1 Multispectral Imagers,” Remote Sens. 6(2), 1432–1450 (2014).
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Zhang, H.

H. Zhang, B. Zhang, Z. Chen, and Z. Huang, “Vicarious Radiometric Calibration of the Hyperspectral Imaging Microsatellites SPARK-01 and -02 over Dunhuang, China,” Remote Sens. 10(1), 120 (2018).
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Z. Chen, B. Zhang, H. Zhang, and W. Zhang, “Vicarious Calibration of Beijing-1 Multispectral Imagers,” Remote Sens. 6(2), 1432–1450 (2014).
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Zhang, W.

Z. Chen, B. Zhang, H. Zhang, and W. Zhang, “Vicarious Calibration of Beijing-1 Multispectral Imagers,” Remote Sens. 6(2), 1432–1450 (2014).
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A. Yang, B. Zhong, S. Wu, and Q. Liu, “Radiometric Cross-Calibration of GF-4 in Multispectral Bands,” Remote Sens. 9(3), 232 (2017).
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Appl. Opt. (1)

Eur. J. Remote Sens. (2)

C. Revel, V. Lonjou, S. Marcq, C. Desjardins, B. Fougnie, C. Luche, N. Guilleminot, A. Lacamp, E. Lourme, C. Miquel, and X. Lenot, “Sentinel-2A and 2B absolute calibration monitoring,” Eur. J. Remote Sens. 52(1), 122–137 (2019).
[Crossref]

J. A. Barsi, B. Alhammoud, J. Czapla-Myers, F. Gascon, M. O. Haque, M. Kaewmanee, L. Leigh, L. and B, and L. Markham, “Sentinel-2A MSI and Landsat-8 OLI radiometric cross comparison over desert sites,” Eur. J. Remote Sens. 51(1), 822–837 (2018).
[Crossref]

IEEE Geosci. Remote Sensing Lett. (2)

G. Chander, B. L. Markham, and J. A. Barsi, “Revised Landsat-5 Thematic Mapper Radiometric Calibration,” IEEE Geosci. Remote Sensing Lett. 4(3), 490–494 (2007).
[Crossref]

S. Liang and H. Fang, “An improved atmospheric correction algorithm for hyperspectral remotely sensed imagery,” IEEE Geosci. Remote Sensing Lett. 1(2), 112–117 (2004).
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IEEE Trans. Geosci. Remote Sensing (5)

H. Gao, X. Gu, T. Yu, Y. Sun, and Q. Liu, “Cross-Calibration of GF-1 PMS Sensor with Landsat 8 OLI and Terra MODIS,” IEEE Trans. Geosci. Remote Sensing 54(8), 4847–4854 (2016).
[Crossref]

B. L. Markham, K. J. Thome, J. A. Barsi, E. Kaita, D. L. Helder, J. L. Barker, and P. L. Scaramuzza, “Landsat-7 ETM+ on-orbit reflective-band radiometric stability and absolute calibration,” IEEE Trans. Geosci. Remote Sensing 42(12), 2810–2820 (2004).
[Crossref]

X. Xiong, A. Angal, K. Twedt, H. Chen, D. Link, X. Geng, E. Aldoretta, and Q. Mu, “MODIS Reflective Solar Bands On-Orbit Calibration and Performance,” IEEE Trans. Geosci. Remote Sensing 57(9), 6355–6371 (2019).
[Crossref]

G. Chander, N. Mishra, D. L. Helder, D. B. Aaron, A. Angal, T. Choi, X. Xiong, and D. R. Doelling, “Applications of Spectral Band Adjustment Factors (SBAF) for Cross-Calibration,” IEEE Trans. Geosci. Remote Sensing 51(3), 1267–1281 (2013).
[Crossref]

X. Li and A. H. Strahler, “Geometric-optical bidirectional reflectance modeling of the discrete crown vegetation canopy: effect of crown shape and mutual shadowing,” IEEE Trans. Geosci. Remote Sensing 30(2), 276–292 (1992).
[Crossref]

J. Appl. Remote Sens. (1)

Y. Liu, L. Ma, N. Wang, Y. Qian, S. Qiu, C. Li, and L. Tang, “Vicarious radiometric calibration/validation of Landsat-8 operational land imager using a ground reflected radiance-based approach with Baotou site in China,” J. Appl. Remote Sens. 11(4), 044004 (2017).
[Crossref]

J. Atmos. Oceanic Technol. (1)

P. N. Slater, S. F. Biggar, K. J. Thome, D. I. Gellman, and P. R. Spyak, “Vicarious Radiometric Calibrations of EOS Sensors,” J. Atmos. Oceanic Technol. 13(2), 349–359 (1996).
[Crossref]

Opt. Express (1)

Remote Sens. (7)

H. Zhang, B. Zhang, Z. Chen, and Z. Huang, “Vicarious Radiometric Calibration of the Hyperspectral Imaging Microsatellites SPARK-01 and -02 over Dunhuang, China,” Remote Sens. 10(1), 120 (2018).
[Crossref]

Z. Chen, B. Zhang, H. Zhang, and W. Zhang, “Vicarious Calibration of Beijing-1 Multispectral Imagers,” Remote Sens. 6(2), 1432–1450 (2014).
[Crossref]

A. Yang, B. Zhong, S. Wu, and Q. Liu, “Radiometric Cross-Calibration of GF-4 in Multispectral Bands,” Remote Sens. 9(3), 232 (2017).
[Crossref]

F. Gascon, C. Bouzinac, O. Thépaut, M. Jung, B. Francesconi, J. Louis, V. Lonjou, B. Lafrance, S. Massera, A. Gaudel-Vacaresse, F. Languille, B. Alhammoud, F. Viallefont, B. Pflug, J. Bieniarz, S. Clerc, L. Pessiot, T. Trémas, E. Cadau, R. Bonis, C. Isola, P. Martimort, and V. Fernandez, “Copernicus Sentinel-2A Calibration and Products Validation Status,” Remote Sens. 9(6), 584 (2017).
[Crossref]

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Figures (11)

Fig. 1.
Fig. 1. Calibration targets at the Baotou calibration site, Inner Mongolia, China. (a) Permanent artificial calibration targets; (b) Desert calibration target.
Fig. 2.
Fig. 2. Hyperspectral 3D cube of the calibration targets at the Baotou calibration site with collected Air-VNIR image on 23 September 2018. (a) Permanent artificial targets; (b) desert target.
Fig. 3.
Fig. 3. Subset of RGB composite images of the Baotou calibration site obtained by (a) SV0103 on 20 September, (b) Sentinel-2B (S2B) on 21 September (the red box indicates the permanent artificial calibration targets, and the orange box indicates the desert target).
Fig. 4.
Fig. 4. Relative spectral responses of SuperView-1 and the corresponding S2 multi-spectral instrument (MSI) band in the laboratory before launch: (a) Sentinel-2A (S2A) vs. SV0101; (b) S2B vs. SV0103.
Fig. 5.
Fig. 5. In situ measurements of surface reflectance and atmospheric vertical profiles. (a) Averaged ground measured reflectance corresponding to the black, grey, and white permanent artificial calibration targets and desert target at Baotou calibration site. (b) The atmospheric vertical profiles collected with radiosonde balloon near the time of SV0102 and SV0104 satellites overpassing the Baotou calibration site on 23 September 2018.
Fig. 6.
Fig. 6. Plots of the simulated top-of-atmosphere (TOA) band radiance with reflectance-based method versus the digital number (DN) values of multiple permanent artificial calibration targets in the blue, green, red, and NIR channels, respectively. (a) SV0101 on 29 September 2018, (b) SV0102 on 23 September 2018, (c) SV0103 on 20 September 2018, (d) SV0104 on 23 September 2018.
Fig. 7.
Fig. 7. Plots of the simulated TOA band radiance with radiance-based method versus the DN values of multiple permanent artificial calibration targets in the blue, green, red, and NIR channels, respectively. (a) SV0102 on 23 September 2018, (b) SV0104 23 September 2018.
Fig. 8.
Fig. 8. Plots of the simulated TOA band radiance with cross-calibration method versus the DN values of multiple permanent artificial calibration targets in the blue, green, red, and NIR channels, respectively. (a) SV0101 on 29 September 2018, (c) SV0103 on 20 September 2018.
Fig. 9.
Fig. 9. Comparison as well as relative difference of the desert TOA band radiance between reflectance-based and radiance-based method in the blue, green, red, and NIR channels of the (a) SV0102 and (b) SV0104 on 23 September 2018, respectively.
Fig. 10.
Fig. 10. Comparison as well as relative difference of the desert band TOA radiance between reflectance-based and cross-calibration method in the blue, green, red, and NIR channels of the (a) SV0101 and (b) SV0103, respectively.
Fig. 11.
Fig. 11. Comparison between measured and retrieved surface reflectance of the green vegetation and dry grass based on radiometrically calibrated radiance in the blue, green, red, and NIR channels of the (a) SV0101, (b) SV0102, (c) SV0103, and (d) SV0104, respectively.

Tables (9)

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Table 1. Acquisition information of Air-VNIR, SuperView-1, and Sentient-2 images at Baotou calibration site.

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Table 2. Determined radiometric calibration coefficients of SV0101, SV0102, SV0103 and SV0104 with reflectance-based method using multiple permanent artificial calibration targets in the Baotou calibration site.

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Table 3. Determined radiometric calibration coefficients of SV0102 and SV0104 with radiance-based method using multiple permanent artificial calibration targets in the Baotou calibration site.

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Table 4. Spectral band adjustment factors (SBAFs) of top-of-atmosphere (TOA) reflectance corresponding to the black, grey, and white artificial calibration targets.

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Table 5. Determined radiometric calibration coefficients (W/m2/sr/µm) of SV0101 and SV0103 with cross-calibration method using multiple permanent artificial calibration targets in the Baotou calibration site.

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Table 6. Errors sources and uncertainties in simulated TOA radiance of reflectance-based method.

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Table 7. Errors sources and uncertainties in simulated TOA radiance of radiance-based method.

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Table 8. Errors sources and uncertainties in simulated TOA radiance of cross-calibration method.

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Table 9. Relative differences between measured and retrieved surface reflectance of the green vegetation and dry grass based on radiometrically calibrated radiance in the blue, green, red, and NIR channels of the SuperView-1 satellites.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

L T O A , i = G a i n i D N i + B i a s i
L T O A ( λ ) = L p a t h ( λ ) + ρ t ( λ ) π ( 1 ρ t ( λ ) S ( λ ) ) μ s E s ( λ ) τ ( μ s , λ ) τ ( μ v , λ )
L T O A , i = λ 1 λ 2 R i ( λ ) L T O A ( λ ) d λ / λ 1 λ 2 R i ( λ ) d λ
L T O A ( λ ) = L p a t h ( λ ) + L t ( λ ) τ ( μ v , λ )
ρ S V , i = K S V M S I , i ρ M S I , i
K S V M S I , i = ρ S V , i s i m / ρ M S I , i s i m
L T O A , i = E s , i ρ S V , i cos ( θ s ) π d 2

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