Relative Orientation Method for Airborne Pushbroom Combined Imaging System

Jingmei Li; Yongxiang Fan; Ning Wang; Lingling Ma; Hongjia Cheng; Yonggang Qian; Yifang Niu; Chuanrong Li; Lingli Tang; Qingchuan Zheng

doi:10.3788/AOS202141.1811001

Acta Optica Sinica, Volume. 41, Issue 18, 1811001(2021)

Relative Orientation Method for Airborne Pushbroom Combined Imaging System

Jingmei Li^1,2, Yongxiang Fan^3、*, Ning Wang¹, Lingling Ma¹, Hongjia Cheng¹, Yonggang Qian¹, Yifang Niu¹, Chuanrong Li¹, Lingli Tang¹, and Qingchuan Zheng⁴

Author Affiliations

¹Key Laboratory of Quantitative Remote Sensing Information Technology, Aerospace Information Reasearch Institute, Chinese Academy of Sciences, Beijing 100094, China

²University of Chinese Academy of Sciences, Beijing 100049, China

³JI HUA Laboratory, Foshan, Guangdong 528000, China

⁴Inner Mongolia North Heavy Industries Group Co., Ltd, Baotou, Inner Mongolia 0 14033, China

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Figures & Tables(13)

Fig. 1. Pushbroom imaging diagram of airborne pushbroom combined hyperspectral system

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Fig. 2. Attitude of the simulate trajectory

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Fig. 3. DOM and DEM data used in simulation. (a) Gaojing-1 panchromatic image; (b) DEM data

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Fig. 4. Simulation images. (a) Left image; (b) middle image; (c) right image

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Fig. 5. Overlap area of partial images. (a) Overlap of left-middle image; (b) overlap of right-middle image

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Fig. 6. Accuracy of calibration results in different modes. (a) Left-middle image calibration result; (b) right-middle image calibration result

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Fig. 7. Accuracy of calibration results in different modes

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Table 1. Main parameters of the airborne pushbroom combined hyperspectral system
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Table 1. Main parameters of the airborne pushbroom combined hyperspectral system
Parameter Left hyperspectral imager Middle hyperspectral imager Right hyperspectral imager
Field of view /(°) 12.6 8 12.6
Number of samples 2000 1250 2000
Instantaneous field of view /mrad 0.11 0.11 0.11

Table 2. Relative simulation parameters between cameras
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Table 2. Relative simulation parameters between cameras
Parameter Offset /m Relative orientation angles /(°)
x y z ω φ κ
Right imager 0.2 0 0 9.380 0.103 0.085
Left imager 0 -0.2 0 -9.407 0.059 0.032

Table 3. Calibration results of different modes

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Table 3. Calibration results of different modes

Mode	Number ofGCPs	Left hyperspectral image			Right hyperspectral image
Mode	Number ofGCPs	ω /(°)	φ /(°)	κ /(°)	ω /(°)	φ /(°)	κ /(°)
Design	-	9.380000	0.103000	0.085000	-9.407000	0.059000	0.032000
Mode-G0	0	9.378151	0.098901	0.052832	-9.400733	0.033653	0.268325
Mode-G1	1	9.375264	0.105162	0.102152	-9.402205	0.056876	0.054020
Mode-G2	2	9.376742	0.102024	0.076349	-9.402381	0.059746	0.025992
Mode-G3	3	9.375438	0.103195	0.082834	-9.402439	0.058893	0.034321

Table 4. Image stitching accuracy (left-middle image)

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Table 4. Image stitching accuracy (left-middle image)

Mode	Number ofpoints	X /m			Y /m			Planeerror /m
Mode	Number ofpoints	Max error	Min error	RMSE	Max error	Min error	RMSE	Planeerror /m
Mode-G0	46	1.829	-2.751	1.427	2.182	-1.187	0.861	1.667
Mode-G1	42	2.643	-2.572	1.454	1.375	-1.647	0.873	1.696
Mode-G2	41	2.502	-2.587	1.476	1.421	-1.225	0.861	1.709
Mode-G3	47	2.398	-2.413	1.374	1.495	-1.775	0.915	1.651
Cal-6	42	1.822	-3.789	1.702	2.040	-1.037	1.123	2.039

Table 5. Stitched image geometric positioning accuracy

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Table 5. Stitched image geometric positioning accuracy

Mode	Number ofpoints	X /m			Y /m			Planeerror /m
Mode	Number ofpoints	Max error	Min error	RMSE	Max error	Min error	RMSE	Planeerror /m
Mode-G0	124	10.640	-1.850	3.980	0.706	-5.178	2.096	4.498
Mode-G1	120	2.721	-4.510	1.723	3.083	-4.242	2.128	2.738
Mode-G2	125	3.445	-3.468	1.353	3.581	-4.960	2.285	2.655
Mode-G3	130	2.665	-3.751	1.427	2.933	-4.753	2.313	2.718
Cal-6	137	2.695	-4.086	1.238	2.703	-4.731	1.866	2.239

Table 6. Influence of control point distribution on the geometric positioning accuracy of stitched image

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Table 6. Influence of control point distribution on the geometric positioning accuracy of stitched image

Mode	Distance between image pointand image edge /pixel	Number of points	RMSE-X /m	RMSE-Y /m	RMSE-plane /m
D1	100	116	1.668	2.139	2.712
D2	200	119	1.723	2.128	2.738
D3	300	116	1.686	2.163	2.743
D4	400	116	1.771	2.211	2.833
D5	500	122	1.734	2.271	2.857
D6	600	123	1.751	2.213	2.822
D7	700	129	1.721	2.242	2.827
D8	800	124	1.741	2.252	2.847
D9	900	119	1.778	2.262	2.877
D10	1000	121	1.759	2.222	2.834

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Jingmei Li, Yongxiang Fan, Ning Wang, Lingling Ma, Hongjia Cheng, Yonggang Qian, Yifang Niu, Chuanrong Li, Lingli Tang, Qingchuan Zheng. Relative Orientation Method for Airborne Pushbroom Combined Imaging System[J]. Acta Optica Sinica, 2021, 41(18): 1811001

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