On-orbit Geometric Calibration of Linear Push-broom Optical Satellite Based on Sparse GCPs

doi:10.11947/j.JGGS.2020.0107

Journal of Geodesy and Geoinformation Science ›› 2020, Vol. 3 ›› Issue (1): 64-75.doi: 10.11947/j.JGGS.2020.0107

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On-orbit Geometric Calibration of Linear Push-broom Optical Satellite Based on Sparse GCPs

Yingdong PI¹,Baorong XIE²,Bo YANG^3,⁴(),Yiling ZHANG²,Xin LI¹,Mi WANG^3,⁴

1. School of Remote Sensing and Information Engineering, Wuhan University, Wuhan 430072, China
2. Shanghai Aerospace Electronic Technology Research Institute, Shanghai 201109, China
3. State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Wuhan 430079, China
4. Collaborative Innovation Center Of Geospatial Technology, Wuhan 430079, China

Received:2018-07-12 Accepted:2018-11-12 Online:2020-03-20 Published:2020-03-09
Contact: Bo YANG E-mail:xt000025@whu.edu.cn
About author:Yingdong PI(1992—), male, PhD, majors in aerospace photogrammetry and related application. E-mail: piyingdong@whu.edu.cn
Supported by:
National Natural Science Foundation of China(41601492);SAST Foundation(SAST2016091);Development Program of China(2016YFB0501402)

Abstract

Abstract:

The paper presents a geometric calibration method based on the sparse ground control points (GCPs), aiming to the linear push-broom optical satellite. This method can achieve the optimal estimate of internal and external parameters with two overlapped image pair along the charge-coupled device (CCD), and sparse GCPs in the image region, further get rid of the dependence on the expensive calibration site data. With the calibrated parameters, the line of sight (LOS) of all CCD detectors can be recovered. This paper firstly establishes the rigorous imaging model of linear push-broom optical satellite based on its imaging mechanism. And then the calibration model is constructed by improving the internal sensor model with a viewing-angle model after an analysis on systematic errors existing in the imaging model is performed. A step-wise solution is applied aiming to the optimal estimate of external and internal parameters. At last, we conduct a set of experiments on the ZY-3 NAD camera and verify the accuracy and effectiveness of the presented method by comparison.

Key words: optical satellite; on-orbit geometric calibration; overlapped image pair; sparse GCPs; viewing-angle

Yingdong PI,Baorong XIE,Bo YANG,Yiling ZHANG,Xin LI,Mi WANG. On-orbit Geometric Calibration of Linear Push-broom Optical Satellite Based on Sparse GCPs[J]. Journal of Geodesy and Geoinformation Science, 2020, 3(1): 64-75.

Figures/Tables 9

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References 25

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Data	Acquisition time	Area	Central longitude and latitude	Quantity of CCD probes	Resolution/m
NAD 1	2014-09-28	Nanning	108.4°E, 22.7°N	NAD:8192×3 FWD and BWD: 4096×4	NAD:2.1 FWD and BWD: 3.5
NAD 2	2015-04-13	Nanning	108.6°E,22.7°N
NAD 3	2012-02-03	Songshan	113.2°E,34.4°N

EOPs	pitch	roll	yaw
unit	rad	rad	rad
Design values	0.0	0.0	0.0
NAD1	0.0012920350	-0.0015968428	-0.0032403011
NAD2	0.0013994288	-0.0012308667	-0.0031208494
NAD3	0.0013393418	-0.0016380889	-0.0032525217

IOPs	Design values	Calibration results
IOPs	Design values	Case 1	Case 2	Case 3
a₀	0.0	5.544804E-07	9.662450E-06	-1.110440E-07
a₁	0.0	-2.210579E-10	-4.622201E-09	-5.070804E-11
a₂	0.0	1.950701E-14	4.960980E-13	1.333176E-14
a₃	0.0	-7.082056E-19	-1.410958E-17	-5.610503E-19
b₀	5.050294E-02	5.051685E-02	5.048926E-02	5.051925E-02
b₁	-4.117647E-06	-4.117494E-06	-4.100026E-06	-4.119179E-06
b₂	0.0	-1.244090E-13	-2.040418E-12	-2.685835E-15
b₃	0.0	2.548508E-18	5.575321E-17	1.456748E-19

Compensation model	Before calibration		Proposed method			Calibration site method
Compensation model	X	Y		X	Y		X	Y
Without correction	399.91	324.36	14.21		10.18	0.30		0.95
Translation model	2.13	18.85	0.64		0.81	0.60		0.82
Similarity model	9.53	9.12	0.66		0.67	0.63		0.72
Affine model	0.61	0.60	0.63		0.61	0.59		0.67
Quadratic model	0.56	0.60	0.55		0.61	0.58		0.67
Cubic model	0.56	0.56	0.55		0.59	0.57		0.63

On-orbit Geometric Calibration of Linear Push-broom Optical Satellite Based on Sparse GCPs

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