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A Lie group is an old mathematical abstract object dating back to the XIX century, when mathematician Sophus Lie laid the foundations of the theory of continuous transformation groups.
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M. Kaess, H. Johannsson, R. Roberts, V. Ila, J. Leonard, and F. Dellaert, “iSAM2: Incremental smoothing and mapping with fluid relinearization and incremental variable reordering,” in Robotics and Automation (ICRA), 2011 IEEE International Conference on , May 2011, pp. 3281–3288
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T. D. Barfoot and P. T. Furgale, “Associating uncertainty with three-dimensional poses for use in estimation problems,” IEEE Transactions on Robotics , vol. 30, no. 3, pp. 679–693, June 2014
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C. Forster, L. Carlone, F. Dellaert, and D. Scaramuzza, “On-manifold preintegration for real-time visual–inertial odometry,” IEEE Transactions on Robotics , vol. 33, no. 1, pp. 1–21, 2017
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2017
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V. Ila, L. Polok, M. Solony, and P. Svoboda, “SLAM++ - a highly efficient and temporally scalable incremental SLAM framework,” The International Journal of Robotics Research , vol. 36, no. 2, pp. 210–230, 2017. [Online]. Available: https://doi.org/10.1177/0278364917691110
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J. Deray and J. Solà, “Manif: A micro lie theory library for state estimation in robotics applications,” Journal of Open Source Software , vol. 5, no. 46, p. 1371, 2020. [Online]. Available: https://doi.org/10.21105/joss.01371
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T. D. Barfoot, State Estimation for Robotics . Cambridge University Press, 2017
2017
Cited alongside, same era.
E. Eade, “Lie groups for 2d and 3d transformations,” Tech. Rep
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