P. A. Absil, R. Mahony, and R. Sepulchre, Optimization algorithms on matrix manifolds, 2009.
DOI : 10.1515/9781400830244

M. Agrawal, A Lie Algebraic Approach for Consistent Pose Registration for General Euclidean Motion, 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp.1891-1897, 2006.
DOI : 10.1109/IROS.2006.282313

A. S. Bandeira, A. Singer, and D. A. Spielman, A Cheeger inequality for the graph connection laplacian. arXiv preprint arXiv, pp.1204-3873, 2012.

T. D. Barfoot and P. T. Furgale, Associating Uncertainty With Three-Dimensional Poses for Use in Estimation Problems, IEEE Transactions on Robotics, vol.30, issue.3, pp.679-693, 2014.
DOI : 10.1109/TRO.2014.2298059

B. M. Bell and F. W. Cathey, The iterated Kalman filter update as a Gauss-Newton method. Automatic Control, IEEE Transactions on, vol.38, issue.2, pp.294-297, 1993.

S. Benhimane and E. Malis, Homography-based 2D Visual Tracking and Servoing, The International Journal of Robotics Research, vol.26, issue.7, pp.661-676, 2007.
DOI : 10.1177/0278364907080252

J. Berger, F. Lenzen, F. Becker, A. Neufeld, and C. Schnörr, Second-order recursive filtering on the rigid-motion lie group se (3) based on nonlinear observations. arXiv preprint, 2015.

D. S. Bernstein, Matrix mathematics: theory, facts, and formulas, 2009.
DOI : 10.1515/9781400833344

D. P. Bertsekas, Incremental Least Squares Methods and the Extended Kalman Filter, SIAM Journal on Optimization, vol.6, issue.3, pp.807-822, 1996.
DOI : 10.1137/S1052623494268522

A. Björck, Numerical methods for least squares problems, Siam, 1996.
DOI : 10.1137/1.9781611971484

S. Bonnabel, Left-invariant extended Kalman filter and attitude estimation, 2007 46th IEEE Conference on Decision and Control, 2007.
DOI : 10.1109/CDC.2007.4434662

S. Bonnabel, P. Martin, and E. Salaun, Invariant Extended Kalman Filter: theory and application to a velocity-aided attitude estimation problem, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009.
DOI : 10.1109/CDC.2009.5400372

URL : https://hal.archives-ouvertes.fr/hal-00494342

N. Boumal, A. Singer, and P. A. Absil, Robust estimation of rotations from relative measurements by maximum likelihood, 52nd IEEE Conference on Decision and Control, 2013.
DOI : 10.1109/CDC.2013.6760038

N. Boumal, A. Singer, P. A. Absil, and V. D. Blon-del, Cramer-Rao bounds for synchronization of rotations, Information and Inference, vol.3, issue.1, 2013.
DOI : 10.1093/imaiai/iat006

D. , G. Mégret, R. Arnaudon, M. Giremus, and A. , Continuous-discrete extended Kalman filter on matrix Lie groups using concentrated Gaussian distributions, J Math Imaging Vis, 1093.

G. Bourmaud, R. Mégret, A. Giremus, and Y. Berthoumieu, Global Motion Estimation from Relative Measurements in the Presence of Outliers, 2014.
DOI : 10.1007/978-3-319-16814-2_24

G. Bourmaud, R. Mégret, A. Giremus, and Y. Berthoumieu, Global motion estimation from relative measurements using iterated extended Kalman filter on matrix LIE groups, 2014 IEEE International Conference on Image Processing (ICIP), 2014.
DOI : 10.1109/ICIP.2014.7025680

G. Bourmaud, R. Mégret, A. Giremus, and Y. Berthoumieu, Discrete extended Kalman filter on Lie groups, Signal Processing Conference (EUSIPCO), 2013 Proceedings of the 21st European, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00903252

F. Caballero, L. Merino, J. Ferruz, and A. Ollero, Homography Based Kalman Filter for Mosaic Building. Applications to UAV position estimation, Proceedings 2007 IEEE International Conference on Robotics and Automation, pp.2004-2009, 2007.
DOI : 10.1109/ROBOT.2007.363616

A. Chatterjee and V. M. Govindu, Efficient and Robust Large-Scale Rotation Averaging, 2013 IEEE International Conference on Computer Vision, p.ICCV, 2013.
DOI : 10.1109/ICCV.2013.70

G. S. Chirikjian, Stochastic Models, Information Theory, and Lie Groups, 2012.

D. J. Crandall, A. Owens, N. Snavely, and D. Huttenlocher, Discrete-continuous optimization for large-scale structure from motion, pp.3001-3008, 2011.

J. Crassidis and F. Markley, Unscented Filtering for Spacecraft Attitude Estimation, Journal of Guidance, Control, and Dynamics, vol.26, issue.4, pp.536-542, 2003.
DOI : 10.2514/2.5102

A. J. Davison, I. D. Reid, N. D. Molton, and O. Stasse, MonoSLAM: Real-Time Single Camera SLAM, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.29, issue.6, 2007.
DOI : 10.1109/TPAMI.2007.1049

O. Enqvist, F. Kahl, and C. Olsson, Non-sequential structure from motion, 2011 IEEE International Conference on Computer Vision Workshops (ICCV Workshops), pp.264-271, 2011.
DOI : 10.1109/ICCVW.2011.6130252

J. Faraut, Analysis on Lie groups: an introduction, 2008.
DOI : 10.1017/CBO9780511755170

R. A. Fisher and F. Yates, Statistical tables for biological , agricultural and medical research. Statistical tables for biological, agricultural and medical research, 1949.

J. Fredriksson and C. Olsson, Simultaneous Multiple Rotation Averaging Using Lagrangian Duality, 2012.
DOI : 10.1007/978-3-642-37431-9_19

V. M. Govindu, Combining two-view constraints for motion estimation, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001, pp.218-225, 2001.
DOI : 10.1109/CVPR.2001.990963

V. M. Govindu, Lie-algebraic averaging for globally consistent motion estimation, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004., pp.684-691, 2004.
DOI : 10.1109/CVPR.2004.1315098

G. Grisetti, R. Kuemmerle, and K. Ni, Robust optimization of factor graphs by using condensed measurements, 2012 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2012.
DOI : 10.1109/IROS.2012.6385779

B. Hall, Lie Groups, Lie Algebras, and Representations An Elementary Introduction, 2003.

R. Hartley, K. Aftab, and J. Trumpf, L1 rotation averaging using the Weiszfeld algorithm, CVPR 2011, pp.3041-30485995745, 2011.
DOI : 10.1109/CVPR.2011.5995745

R. Hartley, J. Trumpf, Y. Dai, and H. Li, Rotation Averaging, International Journal of Computer Vision, vol.14, issue.4, pp.1-39, 2013.
DOI : 10.1007/s11263-012-0601-0

S. S. Haykin, Kalman filtering and neural networks, 2001.
DOI : 10.1002/0471221546

Y. Jeong, D. Nister, D. Steedly, R. Szeliski, and I. Kweon, Pushing the envelope of modern methods for bundle adjustment, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, p.CVPR, 2010.
DOI : 10.1109/CVPR.2010.5539795

N. Jiang, Z. Cui, and P. Tan, A Global Linear Method for Camera Pose Registration, 2013 IEEE International Conference on Computer Vision, p.66, 2013.
DOI : 10.1109/ICCV.2013.66

M. Kaess, H. Johannsson, R. Roberts, V. Ila, J. J. Leonard et al., iSAM2: Incremental smoothing and mapping using the Bayes tree, The International Journal of Robotics Research, vol.13, issue.2, pp.216-235, 2012.
DOI : 10.1177/0278364911430419

M. Kaess, A. Ranganathan, and F. Dellaert, iSAM: Incremental Smoothing and Mapping, IEEE Transactions on Robotics, vol.24, issue.6, pp.1365-1378, 2008.
DOI : 10.1109/TRO.2008.2006706

P. Khurd, L. Grady, R. Oketokoun, H. Sundar, T. Gajera et al., Global error minimization in image mosaicing using graph connectivity and its applications in microscopy, Journal of Pathology Informatics, vol.2, issue.2, p.8, 2012.
DOI : 10.4103/2153-3539.92039

G. Klein and D. Murray, Parallel Tracking and Mapping for Small AR Workspaces, 2007 6th IEEE and ACM International Symposium on Mixed and Augmented Reality, 2007.
DOI : 10.1109/ISMAR.2007.4538852

K. Konolige, Sparse Sparse Bundle Adjustment, Procedings of the British Machine Vision Conference 2010, pp.1-11, 2010.
DOI : 10.5244/C.24.102

E. Lefferts, F. Markley, and M. Shuster, Kalman filtering for spacecraft attitude estimation, Journal of Guidance, Control and Dynamics, 1982.

G. Li, Y. Liu, J. Yin, and Z. Shi, Newton geodesic optimization on special linear group, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009.
DOI : 10.1109/CDC.2009.5400115

A. W. Long, K. C. Wolfe, M. Mashner, and G. S. Chirikjian, The Banana Distribution is Gaussian: A Localization Study with Exponential Coordinates, Robotics: Science and Systems VIII, 2012.
DOI : 10.15607/RSS.2012.VIII.034

Y. Lui, Advances in matrix manifolds for computer vision, Image and Vision Computing, vol.30, issue.6-7, pp.380-388, 2011.
DOI : 10.1016/j.imavis.2011.08.002

E. Malis, T. Hamel, R. Mahony, and P. Morin, Dynamic estimation of homography transformations on the special linear group for visual servo control, 2009 IEEE International Conference on Robotics and Automation, 2009.
DOI : 10.1109/ROBOT.2009.5152384

F. Markley, Attitude Error Representations for Kalman Filtering, Journal of Guidance, Control, and Dynamics, vol.26, issue.2, 2003.
DOI : 10.2514/2.5048

D. Martinec and T. Pajdla, Robust Rotation and Translation Estimation in Multiview Reconstruction, 2007 IEEE Conference on Computer Vision and Pattern Recognition, pp.1-8, 2007.
DOI : 10.1109/CVPR.2007.383115

J. Meidow, Efficient Video Mosaicking by Multiple Loop Closing, Photogrammetric Image Analysis, pp.1-12, 2011.
DOI : 10.1007/978-3-642-24393-6_1

P. Moulon, P. Monasse, and R. Marlet, Global Fusion of Relative Motions for Robust, Accurate and Scalable Structure from Motion, 2013 IEEE International Conference on Computer Vision, pp.3248-3255, 2013.
DOI : 10.1109/ICCV.2013.403

URL : https://hal.archives-ouvertes.fr/hal-00873504

S. Persson and I. Sharf, Invariant Momentum-tracking Kalman Filter for attitude estimation, 2012 IEEE International Conference on Robotics and Automation, pp.592-598, 2012.
DOI : 10.1109/ICRA.2012.6224562

K. Ramachandra, Kalman filtering techniques for radar tracking, 2000.

W. Ring and B. Wirth, Optimization Methods on Riemannian Manifolds and Their Application to Shape Space, SIAM Journal on Optimization, vol.22, issue.2, pp.596-627, 2012.
DOI : 10.1137/11082885X

R. Roberts, S. N. Sinha, R. Szeliski, and D. Steedly, Structure from motion for scenes with large duplicate structures, CVPR 2011, pp.3137-3144, 2011.
DOI : 10.1109/CVPR.2011.5995549

M. Rudkovskii, Twisted product of lie groups, Siberian Mathematical Journal, vol.21, issue.No. 3, pp.969-977, 1997.
DOI : 10.1007/BF02673042

J. M. Selig, Lie Groups and Lie Algebras in Robotics, NATO Science Series II: Mathematics, Physics and Chemistry pp, pp.101-125, 2005.
DOI : 10.1007/1-4020-2307-3_5

A. Singer and Y. Shkolnisky, Three-Dimensional Structure Determination from Common Lines in Cryo-EM by Eigenvectors and Semidefinite Programming, SIAM Journal on Imaging Sciences, vol.4, issue.2, pp.543-572, 2011.
DOI : 10.1137/090767777

P. Smith, T. Drummond, and K. Roussopoulos, Computing MAP trajectories by representing, propagating and combining PDFs over groups, Proceedings Ninth IEEE International Conference on Computer Vision, pp.1275-1282, 2003.
DOI : 10.1109/ICCV.2003.1238637

H. Strasdat, A. Davison, J. Montiel, and K. Konolige, Double window optimisation for constant time visual SLAM, 2011 International Conference on Computer Vision, 2011.
DOI : 10.1109/ICCV.2011.6126517

H. Strasdat, J. M. Montiel, and A. J. Davison, Real-time monocular slam: Why filter? In: ICRA, pp, pp.2657-2664, 2010.

C. J. Taylor and D. J. Kriegman, Minimization on the Lie group SO(3) and related manifolds, 1994.

T. Vercauteren, X. Pennec, E. Malis, A. Perchant, and N. Ayache, Insight into Efficient Image Registration Techniques and the Demons Algorithm, Information Processing in Medical Imaging, pp.495-506, 2007.
DOI : 10.1007/978-3-540-73273-0_41

URL : https://hal.archives-ouvertes.fr/inria-00165534

C. Wachinger, W. Wein, and N. Navab, Registration Strategies and Similarity Measures for Three-dimensional Ultrasound Mosaicing, Academic Radiology, vol.15, issue.11, pp.1404-1415, 2008.
DOI : 10.1016/j.acra.2008.07.004

L. Wang and A. Singer, Exact and stable recovery of rotations for robust synchronization, Information and Inference, vol.2, issue.2, pp.145-193, 2013.
DOI : 10.1093/imaiai/iat005

Y. Wang and G. Chirikjian, Error propagation on the Euclidean group with applications to manipulators kinematics, IEEE Transactions on Robotics, vol.22, 2006.

K. Wolfe, M. Mashner, and G. Chirikjian, Bayesian Fusion on Lie Groups, Journal of Algebraic Statistics, vol.2, issue.1, pp.75-97, 2011.
DOI : 10.18409/jas.v2i1.11