Abstract
The rational function model (RFM) is widely used in the most advanced Earth observation satellites, replacing the rigorous imaging model. The RFM method achieves the desired calibration performance when image distortion is caused by long-period errors. However, the calibration performance of the RFM method deteriorates when short-period errors—such as attitude jitter error—are present, and the insufficient and uneven ground control points (GCPs) can also lower the calibration precision of the RFM method. Hence, this paper proposes a geometric calibration method using sparse recovery to remove the linear array push-broom sensor bias. The most important issue regarding this method is that the errors related to the imaging process are approximated to the equivalent bias angles. By using the sparse recovery method, the number and distribution of GCPs needed are greatly reduced. Meanwhile, the proposed method effectively removes short-period errors by recognizing periodic wavy patterns in the first step of the process. The image data from Earth Observing 1 (EO-1) and the Advanced Land Observing Satellite (ALOS) are used as experimental data for the verification of the calibration performance of the proposed method. The experimental results indicate that the proposed method is effective for the sensor calibration of both satellites.
Highlights
With the accelerating development of technical aeronautics and space exploration, many countries have launched advanced Earth observation satellites in recent years
Errors which result from image distortion can be divided into two sources: long-period errors, including assembling error, optical distortion error, and thermal distortion error, which are constant, non-varying, or slowly varying [3]; and short-period errors, including satellite position, attitude measurement errors, and attitude jitter error
The calibration results of the two methods for 50 random check points (RCPs) in typical scene are shown in Table 1, which shows that the mean value and root mean square error (RMSE) of the calibrated results for the proposed method were less than those of the rational function model (RFM) method
Summary
With the accelerating development of technical aeronautics and space exploration, many countries have launched advanced Earth observation satellites in recent years. Errors which result from image distortion can be divided into two sources: long-period errors, including assembling error, optical distortion error, and thermal distortion error, which are constant, non-varying, or slowly varying [3]; and short-period errors, including satellite position, attitude measurement errors, and attitude jitter error. If these errors are insufficiently characterized or uncorrected, significant distortion of the raw image can result. Most imagery vendors often do not provide details of advanced Earth observation satellites, such as the precise parameters and work mode of sensor or the satellite orbit, to the user. The traditional problem regarding error-solving in the sensor calibration process is transformed into a new problem regarding signal recovery in this paper
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