A global optimization algorithm for laboratory star sensors calibration problem

Abstract To achieve high-precision calibration for star sensors before utilizing, the existing models are so complex to introduce the meaningless parameters or ignore intrinsic relationship between the parameters, which leads to additional errors. To address these issues, a global optimization model combing with pitching azimuth turntable (PAT) is proposed in this study. It uses the maximum likelihood and the least-squares to obtain the initial estimates of the star sensor. In the final step, we use the Levenberg-Marquardt algorithm to optimize all of the star sensor’s parameters with the initial estimates. The proposed method gives full consideration to the influence between parameters, which can yield an ideal calibration result. Compared with the initial method, Li method and the two-step method, the proposed method exhibited better performance. The experimental results of simulation and real data show that the proposed method can optimize all of the star sensor’s parameters with high accuracy and efficiency.

[1]  Yanxiong Niu,et al.  Optimized star sensors laboratory calibration method using a regularization neural network. , 2018, Applied optics.

[2]  Jorge J. Moré,et al.  The Levenberg-Marquardt algo-rithm: Implementation and theory , 1977 .

[3]  W. Faig.  CALIBRATION OF CLOSE-RANGE PHOTOGRAMMETRIC SYSTEMS: MATHEMATICAL FORMULATION , 1975 .

[4]  Domenico Accardo,et al.  Brightness-independent start-up routine for star trackers , 2002 .

[5]  Zhengyou Zhang,et al.  A Flexible New Technique for Camera Calibration , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[6]  Paul R. Cohen,et al.  Camera Calibration with Distortion Models and Accuracy Evaluation , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[7]  Reinhard Koch,et al.  Self-Calibration and Metric Reconstruction Inspite of Varying and Unknown Intrinsic Camera Parameters , 1999, International Journal of Computer Vision.

[8]  Timothy A. Clarke,et al.  Comparison of some techniques for the subpixel location of discrete target images , 1994, Other Conferences.

[9]  Fuqiang Zhou,et al.  Novel autonomous on-orbit calibration method for star sensors , 2015 .

[10]  Cullen Schaffer,et al.  Technical Note: Selecting a Classification Method by Cross-Validation , 1993, Machine Learning.

[11]  C. Liebe.  Star trackers for attitude determination , 1995 .

[12]  Ludovic Blarre,et al.  High accuracy Sodern Star Trackers: Recent improvements proposed on SED36 and HYDRA Star Trackers , 2006 .

[13]  Fuqiang Zhou,et al.  Autonomous space target recognition and tracking approach using star sensors based on a Kalman filter. , 2015, Applied optics.

[14]  U. Schmidt,et al.  ASTRO 15 Star Tracker Flight Experience and Further Improvements towards the ASTRO APS Star Tracker , 2008 .

[15]  Jie Jiang,et al.  High-accuracy star sensor calibration based on intrinsic and extrinsic parameter decoupling , 2015 .

[16]  Zengping Chen,et al.  A star identification algorithm for large FOV observations , 2016, Remote Sensing.

[17]  Jun Zhang,et al.  Laboratory calibration of star sensor with installation error using a nonlinear distortion model , 2014 .

[18]  Jian Li,et al.  Star sensor calibration based on integrated modelling with intrinsic and extrinsic parameters , 2014 .

[19]  Guangjun Zhang,et al.  Star sensor on-orbit calibration using Extended Kalman Filter , 2010, 2010 3rd International Symposium on Systems and Control in Aeronautics and Astronautics.

[20]  Horst Bischof,et al.  Camera calibration from a single night sky image , 2004, CVPR 2004.

[21]  F. Markley,et al.  Fast Quaternion Attitude Estimation from Two Vector Measurements , 2002 .

[22]  Zhanyi Hu,et al.  A new easy camera calibration technique based on circular points , 2003, Pattern Recognit..

[23]  Fang Jiancheng,et al.  A method of optimization for the distorted model of star map based on improved genetic algorithm , 2011 .

[24]  Cullen Schaffer,et al.  Selecting a classification method by cross-validation , 1993, Machine Learning.

[25]  D Lu,et al.  Application of CMOS APS star tracker with large FOV in attitude and angular velocity determination , 2008, SPIE/COS Photonics Asia.

[26]  Wei Sun,et al.  An empirical evaluation of factors influencing camera calibration accuracy using three publicly available techniques , 2006, Machine Vision and Applications.

[27]  David S. Anderson,et al.  Autonomous star sensing and pattern recognition for spacecraft attitude determination , 1991 .