Point-Source-Target-Based Method for Space Remote Sensing Geometric Calibration and Positioning Accuracy Improvement

Kai Li; Yongsheng Zhang; Weican Meng; Weiming Yang

doi:10.3788/AOS202040.1828003

Acta Optica Sinica, Volume. 40, Issue 18, 1828003(2020)

Point-Source-Target-Based Method for Space Remote Sensing Geometric Calibration and Positioning Accuracy Improvement

Kai Li^1,2、*, Yongsheng Zhang², Weican Meng³, and Weiming Yang¹

¹Institute of Logistic Science and Technology, Academy of System Engineering, Academy of Military Sciences, Beijing 100071, China

²School of Geospatial Information, SSF Information Engineering University, Zhengzhou, Henan 450001, China

³Beijing Institute of Tracking and Telecommunications Technology, Beijing 100094, China

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Figures & Tables(11)

Fig. 1. Reflective point source

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Fig. 2. Plane distribution of analog control points

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Fig. 3. Point source image data. (a) Image of 1000 pixel × 1000 pixel; (b) enlarged point source images corresponding to 4 control points

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Fig. 4. Error between calculated and actual value of center position of each point source image

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Table 1. Root-mean-square error and maximum error between calculated and actual value of center position of point source
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Table 1. Root-mean-square error and maximum error between calculated and actual value of center position of point source
Image R_X /pixel R_Y /pixel R_M_X /pixel R_M_Y /pixel
Front view image 0.01 0.01 0.03 0.04
Rear view image 0.01 0.01 0.03 0.03

Table 2. Single image positioning and stereo positioning errors of front and rear view images under different image point errors
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Table 2. Single image positioning and stereo positioning errors of front and rear view images under different image point errors
Target type Coordinate error of image point /m R_XY /m R_Z /m R_M_XY /m R_M_Z /m
Point source target 0.01 0.14 0.10 0.38 0.35
Traditional target 0.33 3.75 2.46 9.82 5.78
Traditional target 1 10.07 3.36 26.77 8.09

Table 3. Calculated values of external calibration parameters under different image point errors

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Table 3. Calculated values of external calibration parameters under different image point errors

Coordinate errors ofimage point	ω₀ /rad	ω₁ /rad	φ₀ /rad	φ₁ /rad	κ₀ /rad	κ₁ /rad
1 pixel	-4.4814×10^-5	5.0200×10^-11	5.7318×10^-5	7.3143×10^-11	1.8368×10^-4	-2.6546×10^-11
0.33 pixel	-4.4819×10^-5	7.2451×10^-12	5.5107×10^-5	2.6148×10^-11	1.7851×10^-4	-7.9764×10^-12
0.01 pixel	-4.4819×10^-5	1.4032×10^-12	5.5941×10^-5	1.5816×10^-12	1.8125×10^-4	-6.9553×10^-12
True value	-4.4811×10^-5	8.3272×10^-13	5.5929×10^-5	8.0215×10^-13	1.8123×10^-4	-3.1229×10^-13

Table 4. Calculated values of internal calibration parameters under different image point errors

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Table 4. Calculated values of internal calibration parameters under different image point errors

Coordinateerror of imagepoint	Δx_p /mm	Δy_p /mm	k₁	k₂	P₁	P₂	S	R
1 pixel	1.780×10^-5	1.18×10^-4	-5.76×10^-5	-1.99×10^-7	1.30×10^-4	2.90×10^-4	2.18×10^-4	-9.49×10^-5
0.33 pixel	6.486×10^-6	7.40×10^-5	-6.05×10^-5	-1.86×10^-7	4.75×10^-5	1.79×10^-4	1.11×10^-4	3.46×10^-5
0.01 pixel	2.661×10^-8	6.95×10^-6	-3.32×10^-6	-4.45×10^-9	1.92×10^-7	1.70×10^-5	-2.7×10^-5	-1.25×10^-7
True value	3.556×10^-8	6.94×10^-6	-3.34×10^-6	-4.51×10^-9	2.58×10^-7	1.70×10^-5	-2.72×10^-5	-1.65×10^-7

Table 5. Positioning errors of control points and check points under different image point errors

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Table 5. Positioning errors of control points and check points under different image point errors

Coordinate error ofimage point /pixel	Control point				Check point
Coordinate error ofimage point /pixel	R_XY /m	R_Z /m	R_M_XY /m	R_M_Z /m	R_XY /m	R_Z /m	R_M_XY /m	R_M_Z /m
0.01	0.14	0.11	0.40	0.35	0.03	0.01	0.04	0.02
0.33	3.53	2.38	10.27	5.68	0.47	0.22	0.85	0.60
1	9.36	3.32	28.07	7.82	1.43	0.25	2.25	0.67

Table 6. Positioning errors of check points under different image point errors and control point distributions

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Table 6. Positioning errors of check points under different image point errors and control point distributions

Point distribution	Error of 0.01 pixel				Error of 0.33 pixel				Error of 1 pixel
Point distribution	R_XY /m	R_Z /m	R_M_XY /m	R_M_Z /m	R_XY /m	R_Z /m	R_M_XY /m	R_M_Z /m	R_XY /m	R_Z /m	R_M_XY /m	R_M_Z /m
	27.8	40.4	33.8	49.5	27.8	40.4	33.8	49.5	27.8	40.4	33.8	49.5
	3.81	5.54	6.33	9.11	4.79	6.98	9.09	13.3	5.3	7.2	9.4	13.7
	0.14	0.04	0.22	0.08	3.17	1.69	5.72	3.21	9.93	1.05	18.37	1.79
	0.12	0.04	0.19	0.08	3.08	1.42	5.65	2.20	9.70	2.29	17.80	3.03
	0.09	0.04	0.12	0.06	1.98	0.76	3.95	1.29	6.17	2.62	11.87	3.73
	0.07	0.03	0.10	0.04	2.10	1.38	3.99	2.04	6.39	3.14	11.94	4.06
	0.08	0.05	0.10	0.07	2.38	1.39	3.88	1.93	7.35	2.60	12.03	3.09
	0.05	0.02	0.08	0.04	1.35	0.41	2.48	1.04	4.02	0.71	7.18	1.37

Table 7. Positioning errors of check points when 4 new control points added to 9-point layout plan using precise image point coordinates
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Table 7. Positioning errors of check points when 4 new control points added to 9-point layout plan using precise image point coordinates
Point
distribution Error of 0.01 pixel Error of 0.33 pixel Error of 1 pixel
R_XY /m R_Z /m R_M_XY /m R_M_Z /m R_XY /m R_Z /m R_M_XY /m R_M_Z /m R_XY /m R_Z /m R_M_XY /m R_M_Z /m
0.05 0.01 0.07 0.03 1.33 0.81 2.68 1.22 4.04 1.69 8.02 2.42

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Kai Li, Yongsheng Zhang, Weican Meng, Weiming Yang. Point-Source-Target-Based Method for Space Remote Sensing Geometric Calibration and Positioning Accuracy Improvement[J]. Acta Optica Sinica, 2020, 40(18): 1828003

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Paper Information

Category: Remote Sensing and Sensors

Received: Apr. 26, 2020

Accepted: Jun. 9, 2020

Published Online: Aug. 28, 2020

The Author Email: Kai Li (likai_rs@163.com)

DOI:10.3788/AOS202040.1828003

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Root-mean-square error and maximum error between calculated and actual value of center position of point source

Table 1. Root-mean-square error and maximum error between calculated and actual value of center position of point source

Table 2. Single image positioning and stereo positioning errors of front and rear view images under different image point errors

Table 2. Single image positioning and stereo positioning errors of front and rear view images under different image point errors

Table 3. Calculated values of external calibration parameters under different image point errors

Table 3. Calculated values of external calibration parameters under different image point errors

Table 4. Calculated values of internal calibration parameters under different image point errors

Table 4. Calculated values of internal calibration parameters under different image point errors

Table 5. Positioning errors of control points and check points under different image point errors

Table 5. Positioning errors of control points and check points under different image point errors

Table 6. Positioning errors of check points under different image point errors and control point distributions

Table 6. Positioning errors of check points under different image point errors and control point distributions

Table 7. Positioning errors of check points when 4 new control points added to 9-point layout plan using precise image point coordinates

Table 7. Positioning errors of check points when 4 new control points added to 9-point layout plan using precise image point coordinates