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A micro Lie theory for state estimation in robotics

, , and . (2018)cite arxiv:1812.01537Comment: 17 pages, 12 figures, 7 boxed examples, 193 numbered equations. V2 add chapter with a application examples. V3 fix biblio error and remove the reference to a not-yet-published library in C++. V4 add again the reference to the C++ library "manif", which is made available with this version 4. V5 fix formulas (163) and (179). V6, V7 fix typos. V8 fix sign in eq 149.

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Towards new sensing capabilities for legged locomotion using real-time state estimation with low-cost IMUs. (Vers de nouvelles capacités de perception pour les robotes à jambes à l'aide de l'estimation d'états temps réel avec des centrales inertielles à bas coût).. Paul Sabatier University, Toulouse, France, (2018)A micro Lie theory for state estimation in robotics, , and . (2018)cite arxiv:1812.01537Comment: 17 pages, 12 figures, 7 boxed examples, 193 numbered equations. V2 add chapter with a application examples. V3 fix biblio error and remove the reference to a not-yet-published library in C++. V4 add again the reference to the C++ library "manif", which is made available with this version 4. V5 fix formulas (163) and (179). V6, V7 fix typos. V8 fix sign in eq 149.Wolf: A Modular Estimation Framework for Robotics Based on Factor Graphs., , , , , , , and . IEEE Robotics Autom. Lett., 7 (2): 4710-4717 (2022)WOLF: A modular estimation framework for robotics based on factor graphs., , , , , , and . CoRR, (2021)Bayesian inference of fog visibility from LiDAR point clouds and correlation with probabilities of detection., , , , , and . ICRA, page 7076-7082. IEEE, (2023)Odometry Based on Auto-Calibrating Inertial Measurement Unit Attached to the Feet., , , , and . ECC, page 3031-3037. IEEE, (2018)