Efficient Bingham filtering based on saddlepoint approximations
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[1] Robert B. McGhee,et al. An extended Kalman filter for quaternion-based orientation estimation using MARG sensors , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).
[2] H. Daniels. Saddlepoint Approximations in Statistics , 1954 .
[3] Alan Edelman,et al. The efficient evaluation of the hypergeometric function of a matrix argument , 2006, Math. Comput..
[4] A. Wood,et al. Saddlepoint approximations for the Bingham and Fisher–Bingham normalising constants , 2005 .
[5] Gary R. Bradski,et al. Monte Carlo Pose Estimation with Quaternion Kernels and the Bingham Distribution , 2011, Robotics: Science and Systems.
[6] Gerhard Kurz,et al. Recursive estimation of orientation based on the Bingham distribution , 2013, Proceedings of the 16th International Conference on Information Fusion.
[7] Young Soo Suh. Orientation Estimation Using a Quaternion-Based Indirect Kalman Filter With Adaptive Estimation of External Acceleration , 2010, IEEE Transactions on Instrumentation and Measurement.
[8] Christopher Bingham. An Antipodally Symmetric Distribution on the Sphere , 1974 .
[9] Leslie Pack Kaelbling,et al. Tracking 3-D Rotations with the Quaternion Bingham Filter , 2013 .
[10] Robert B. McGhee,et al. An improved quaternion-based Kalman filter for real-time tracking of rigid body orientation , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).
[11] Stephen P. Boyd,et al. Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.
[12] Berthold K. P. Horn,et al. Closed-form solution of absolute orientation using unit quaternions , 1987 .
[13] I. Bar-Itzhack,et al. Attitude Determination from Vector Observations: Quaternion Estimation , 1985, IEEE Transactions on Aerospace and Electronic Systems.
[14] Angelo M. Sabatini,et al. Quaternion-based extended Kalman filter for determining orientation by inertial and magnetic sensing , 2006, IEEE Transactions on Biomedical Engineering.
[15] Jr. J.J. LaViola,et al. A comparison of unscented and extended Kalman filtering for estimating quaternion motion , 2003, Proceedings of the 2003 American Control Conference, 2003..
[16] Gerhard Kurz,et al. Recursive nonlinear filtering for angular data based on circular distributions , 2013, 2013 American Control Conference.
[17] Gerhard Kurz,et al. Unscented Orientation Estimation Based on the Bingham Distribution , 2013, IEEE Transactions on Automatic Control.
[18] S. R. Jammalamadaka,et al. Directional Statistics, I , 2011 .
[19] Tomonari Sei,et al. Calculating the normalising constant of the Bingham distribution on the sphere using the holonomic gradient method , 2013, Stat. Comput..
[20] Andrew T. A. Wood,et al. On the derivatives of the normalising constant of the Bingham distribution , 2007 .
[21] I. Bar-Itzhack,et al. Novel quaternion Kalman filter , 2002, IEEE Transactions on Aerospace and Electronic Systems.
[22] C. Herz. BESSEL FUNCTIONS OF MATRIX ARGUMENT , 1955 .
[23] Seth J. Teller,et al. Scalable, absolute position recovery for omni-directional image networks , 2001, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001.
[24] Jeffrey K. Uhlmann,et al. Unscented filtering and nonlinear estimation , 2004, Proceedings of the IEEE.
[25] Serge Reboul,et al. A recursive fusion filter for angular data , 2009, 2009 IEEE International Conference on Robotics and Biomimetics (ROBIO).
[26] Joseph J. LaViola,et al. On Kalman Filtering With Nonlinear Equality Constraints , 2007, IEEE Transactions on Signal Processing.