Simultaneous estimation of shape and motion of an asteroid for automatic navigation

In an asteroid exploration and sample return mission, accurate estimation of the shape and motion of the target asteroid is essential for selecting a touchdown site and navigating a spacecraft during touchdown operation. In this work, we present an automatic estimation method for the shape and motion of an asteroid, which is planned to be tested in future exploration missions including Japanese Hayabusa-2 [1]. Our task is to estimate the shape and rotation axis of the asteroid, as well as positions of the spacecraft from optical images. The proposed method is based on the expectation conditional-maximization (ECM) framework that consists of an auxiliary particle filter and nonlinear optimization techniques. One of our technical contributions is the estimation of the direction of rotation axis of the asteroid from monocular camera images, which are taken by the moving spacecraft. We conducted two experiments with synthetic data and an asteroid mock-up to show the validity of the proposed method and to present the numerical accuracy.

[1]  E. Kraft,et al.  A quaternion-based unscented Kalman filter for orientation tracking , 2003, Sixth International Conference of Information Fusion, 2003. Proceedings of the.

[2]  Richard Szeliski,et al.  Computer Vision - Algorithms and Applications , 2011, Texts in Computer Science.

[3]  Frank Dellaert,et al.  iSAM: Incremental Smoothing and Mapping , 2008, IEEE Transactions on Robotics.

[4]  Robert C. Bolles,et al.  Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography , 1981, CACM.

[5]  Farhad Aghili,et al.  A Prediction and Motion-Planning Scheme for Visually Guided Robotic Capturing of Free-Floating Tumbling Objects With Uncertain Dynamics , 2012, IEEE Transactions on Robotics.

[6]  Stephen M. Rock,et al.  Improved frame-to-frame pose tracking during vision-only SLAM/SFM with a tumbling target , 2011, 2011 IEEE International Conference on Robotics and Automation.

[7]  Sudeept Mohan,et al.  STATE , 2016, Intell. Serv. Robotics.

[8]  Frank Dellaert,et al.  Incremental smoothing and mapping , 2008 .

[9]  Naoya Takeishi,et al.  Fast estimation of asteroid shape and motion for spacecraft navigation , 2013, 2013 IEEE International Conference on Robotics and Biomimetics (ROBIO).

[10]  Matthijs C. Dorst.  Distinctive Image Features from Scale-Invariant Keypoints , 2011 .

[11]  Naoya Takeishi,et al.  Evaluation of Interest-region Detectors and Descriptors for Automatic Landmark Tracking on Asteroids , 2015 .

[12]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[13]  Brent E. Tweddle,et al.  Computer vision-based localization and mapping of an unknown, uncooperative and spinning target for spacecraft proximity operations , 2013 .

[14]  M. Pitt,et al.  Filtering via Simulation: Auxiliary Particle Filters , 1999 .

[15]  Steven Dubowsky,et al.  State, shape, and parameter estimation of space objects from range images , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[16]  Makoto Yoshikawa,et al.  Ground-based observational campaign for astroid 162173 1999 JU3 , 2008 .

[17]  Sebastian Thrun,et al.  FastSLAM 2.0: An Improved Particle Filtering Algorithm for Simultaneous Localization and Mapping that Provably Converges , 2003, IJCAI.

[18]  Xiao-Li Meng,et al.  Maximum likelihood estimation via the ECM algorithm: A general framework , 1993 .

[19]  Wolfram Burgard,et al.  Probabilistic Robotics (Intelligent Robotics and Autonomous Agents) , 2005 .

[20]  W. Marsden.  I and J , 2012 .

[21]  Y. Tsuda,et al.  System design of the Hayabusa 2—Asteroid sample return mission to 1999 JU3 , 2013 .

[22]  Bernhard P. Wrobel,et al.  Multiple View Geometry in Computer Vision , 2001 .

[23]  D.S. Bayard,et al.  On-board vision-based spacecraft estimation algorithm for small body exploration , 2008, IEEE Transactions on Aerospace and Electronic Systems.

[24]  D. Kinoshita,et al.  Thermo-physical properties of 162173 (1999 JU3), a potential flyby and rendezvous target for interplanetary missions , 2010, 1011.5029.

[25]  D. Marquardt.  An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .