Crater-based attitude and position estimation for planetary exploration with weighted measurement uncertainty

Abstract A large number of crater features exist on the surface of interplanetary bodies. Autonomous navigation based on these crater features can obtain excellent navigation performance, which is one of the most important navigation methods for future planetary exploration. This paper presents a new method to estimate the attitude and position of spacecraft based on crater measurement uncertainty. Firstly, the error distribution of craters’ localization is introduced, considering the characteristics of edge detection in crater images. Then, the error uncertainty of crater localization is described by the error ellipse and the influence of related factors on the crater localization error is analyzed. Further, in consideration of the characteristics that the localization errors are anisotropic, correlated and non-identically distributed, the weighted matrix of different craters is constructed by singular value decomposition (SVD) of the error uncertainty matrix. Thereafter the weighted matrix is integrated into the attitude and position estimation algorithm. As a result, the weighted measurement uncertainty method for crater-based pose estimation is formed. Finally, the proposed algorithm is verified by Monte Carlo simulation.

[1]  John A. Christian Optical Navigation Using Planet’s Centroid and Apparent Diameter in Image , 2015 .

[2]  N. Chernov,et al.  Fitting Quadratic Curves to Data Points , 2014 .

[3]  J. Miller,et al.  Determination of Shape, Gravity, and Rotational State of Asteroid 433 Eros , 2002 .

[4]  Hutao Cui,et al.  A new approach based on crater detection and matching for visual navigation in planetary landing , 2014 .

[5]  Meng Yu,et al.  A novel inertial-aided feature detection model for autonomous navigation in planetary landing , 2018, Acta Astronautica.

[6]  J. K. Miller,et al.  Autonomous landmark tracking orbit determination strategy , 2003 .

[7]  Clark F. Olson,et al.  Optical landmark detection for spacecraft navigation , 2003 .

[8]  David Wokes,et al.  Surveying and Pose Estimation of a Lander Using Approximative Crater Modelling , 2010 .

[9]  David S. Wokes Autonomous pose estimation of a passive target , 2010 .

[10]  Shengying Zhu,et al.  Observability-based visual navigation using landmarks measuring angle for pinpoint landing , 2019, Acta Astronautica.

[11]  Yang Cheng,et al.  Landmark Based Position Estimation for Pinpoint Landing on Mars , 2005 .

[12]  Maurício Araújo Dias,et al.  Improved automatic impact crater detection on Mars based on morphological image processing and template matching , 2017 .

[13]  Hutao Cui,et al.  Robust hazard matching approach for visual navigation application in planetary landing , 2015 .

[14]  P. Anandan,et al.  Factorization with Uncertainty , 2000, ECCV.

[15]  John L. Crassidis,et al.  Design and optimization of navigation and guidance techniques for Mars pinpoint landing: Review and prospect , 2017 .

[16]  Hutao Cui,et al.  Nonlinearity analysis of measurement model for vision-based optical navigation system , 2015 .

[17]  Xiangyu Huang,et al.  Autonomous Navigation Based on Sequential Images for Planetary Landing in Unknown Environments , 2017 .

[18]  Ehud Rivlin,et al.  Landmark Selection for Task-Oriented Navigation , 2007, IEEE Trans. Robotics.

[19]  Xiangyu Huang,et al.  Landmark-based autonomous navigation for pinpoint planetary landing , 2016 .

[20]  J. K. Miller,et al.  Autonomous landmark based spacecraft navigation system , 2003 .

[21]  Gregory D. Hager,et al.  Fast and Globally Convergent Pose Estimation from Video Images , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[22]  Carlo Tomasi,et al.  Good features to track , 1994, 1994 Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.

[23]  Qingxian Wu,et al.  Novel approach of crater detection by crater candidate region selection and matrix-pattern-oriented least squares support vector machine , 2013 .

[24]  Meng Yu,et al.  A novel crater recognition based visual navigation approach for asteroid precise pin-point landing , 2017 .

[25]  Ki-Lyuk Yong,et al.  Three-axis attitude determination using incomplete vector observations , 2009 .

[26]  Pedro Pina,et al.  Development of a Methodology for Automated Crater Detection on Planetary Images , 2007, IbPRIA.

[27]  Andrew E. Johnson,et al.  Machine vision for autonomous small body navigation , 2000, 2000 IEEE Aerospace Conference. Proceedings (Cat. No.00TH8484).

[28]  John A. Christian,et al.  Parametric Covariance Model for Horizon-Based Optical Navigation , 2017 .

[29]  Keum W. Lee,et al.  Noncertainty-equivalence adaptive attitude control of satellite orbiting around an asteroid , 2019, Acta Astronautica.

[30]  William K. Hartmann,et al.  Cratering Records in the Inner Solar System in Relation to the Lunar Reference System , 2001 .

[31]  Stergios I. Roumeliotis,et al.  Vision‐aided inertial navigation for pin‐point landing using observations of mapped landmarks , 2007, J. Field Robotics.

[32]  Larry S. Davis,et al.  Model-based object pose in 25 lines of code , 1992, International Journal of Computer Vision.

[33]  Hutao Cui,et al.  Database construction for vision aided navigation in planetary landing , 2017 .

[34]  Stergios I. Roumeliotis,et al.  Coupled Vision and Inertial Navigation for Pin-Point Landing * , 2007 .

[35]  Reuben R. Rohrschneider,et al.  Terrain Relative Navigation Using Crater Identification in Surface Topography Data , 2011 .

[36]  Hutao Cui,et al.  Vision-aided inertial navigation for pinpoint planetary landing , 2007 .

[37]  Christopher O. Jaynes,et al.  Feature uncertainty arising from covariant image noise , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[38]  S. Love,et al.  Interpreting the Elliptical Crater Populations on Mars, Venus, and the Moon , 2000 .

[39]  Robert M. Haralick,et al.  Review and analysis of solutions of the three point perspective pose estimation problem , 1994, International Journal of Computer Vision.

[40]  Nabil Aouf,et al.  Single camera absolute motion based digital elevation mapping for a next generation planetary lander , 2014 .

[41]  Shengying Zhu,et al.  Visual navigation using edge curve matching for pinpoint planetary landing , 2018 .

[42]  Svenja Woicke,et al.  Comparison of Crater-Detection Algorithms for Terrain-Relative Navigation , 2018 .

[43]  Andreas M. Hein,et al.  A techno-economic analysis of asteroid mining , 2018, Acta Astronautica.

[44]  Cui Pingyuan,et al.  An autonomous optical navigation and guidance for soft landing on asteroids , 2004 .

[45]  Daniele Mortari,et al.  Position Estimation Using the Image Derivative , 2015 .