Second-Order Recursive Filtering on the Rigid-Motion Lie Group $${\text {SE}}_{3}$$ SE 3 Based on Nonlinear Observations-Reference-Cited by-同舟云学术

Second-Order Recursive Filtering on the Rigid-Motion Lie Group $${\text {SE}}_{3}$$ SE 3 Based on Nonlinear Observations

Published:2016-12-21 Issue:1 Volume:58 Page:102-129
ISSN:0924-9907
Container-title:Journal of Mathematical Imaging and Vision
language:en
Short-container-title:J Math Imaging Vis

Author:

Berger Johannes^ORCID,Lenzen Frank,Becker Florian,Neufeld Andreas,Schnörr Christoph

Funder

Deutsche Forschungsgemeinschaft

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Computer Vision and Pattern Recognition,Condensed Matter Physics,Modeling and Simulation,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/s10851-016-0693-1.pdf

Reference61 articles.

1. Absil, P.A., Mahony, R., Sepulchre, R.: Optimization Algorithms on Matrix Manifolds. Princeton University Press, Princeton (2008)

2. Agrachev, A.A., Sachkov, Y.: Control Theory from the Geometric Viewpoint, vol. 2. Springer, Berlin (2004)

3. Aguiar, A., Hespanha, J.: Minimum-energy state estimation for systems with perspective outputs. IEEE Trans. Autom. Control 51(2), 226–241 (2006). doi: 10.1109/TAC.2005.861686

4. Arulampalam, M.S., Maskell, S., Gordon, N., Clapp, T.: A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking. IEEE Trans. Signal Process. 50(2), 174–188 (2002)

5. Athans, M., Falb, P.: Optimal Control. An Introduction to the Theory and Its Applications. McGraw-Hill, New York (1966)

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Observer Design for Nonlinear Systems with Equivariance;Annual Review of Control, Robotics, and Autonomous Systems;2021-12-06

2. Uncertainties in Galilean Spacetime;2021 IEEE 24th International Conference on Information Fusion (FUSION);2021-11-01

3. A Deep Reinforcement Learning Approach for Active SLAM;Applied Sciences;2020-11-25

4. From Intrinsic Optimization to Iterated Extended Kalman Filtering on Lie Groups;Journal of Mathematical Imaging and Vision;2016-01-02