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@BOOK{madrigal2012slambook,
author = {Fern{\'{a}}ndez-Madrigal, Juan-Antonio and Blanco, Jos{\'{e}}-Luis},
month = {{{{sep}}}},
title = {Simultaneous Localization and Mapping for Mobile Robots: Introduction and Methods},
year = {2012},
publisher = {IGI Global},
isbn = {9781466621046},
url = {http://www.igi-global.com/book/simultaneous-localization-mapping-mobile-robots/66380},
doi = {10.4018/978-1-4666-2104-6}
}
@book{gallier2001geometric,
title={{Geometric methods and applications: for computer science and engineering}},
author={Gallier, J.H.},
year={2001},
publisher={Springer verlag}
}
@article{bloomenthal1994homogeneous,
title={{Homogeneous coordinates}},
author={Bloomenthal, J. and Rokne, J.},
journal={The Visual Computer},
volume={11},
number={1},
pages={15--26},
year={1994},
publisher={Springer}
}
@INPROCEEDINGS{julier2002sut,
author = {Julier, S.J.},
title = {{The scaled unscented transformation}},
booktitle = {Proceedings of the American Control Conference},
year = {2002},
volume = {6},
pages = {4555--4559}
}
@misc{horn2001some,
title={{Some Notes on Unit Quaternions and Rotation}},
author={Horn, B.K.P.},
year={2001},
publisher={Online}
}
@ARTICLE{davison2007mrt,
author = {Davison, A.J. and Reid, I. and Molton, N. and Stasse, O.},
title = {{MonoSLAM: Real-Time Single Camera SLAM}},
journal = {IEEE Transactions on Pattern Analysis and Machine Intelligence},
volume={29},
number={6},
pages={1052--1067},
year={2007}
}
@article{bar2000new,
title={{New method for extracting the quaternion from a rotation matrix}},
author={Bar-Itzhack, I.Y.},
journal={Journal of guidance, control, and dynamics},
volume={23},
number={6},
pages={1085--1087},
year={2000}
}
@TECHREPORT{sibley2009rba,
title={{Relative bundle adjustment}},
author={Sibley, G.},
INSTITUTION = {Department of Engineering Science, Oxford University, Tech. Rep},
year={2009}
}
@article{strasdat2010scale,
title={{Scale Drift-Aware Large Scale Monocular SLAM}},
author={Strasdat, H. and Montiel, JMM and Davison, A.J.},
year={2010}
}
@book{varadarajan1974lie,
title={{Lie groups, Lie algebras, and their representations}},
author={Varadarajan, V.S.},
year={1974},
publisher={Prentice-Hall}
}
@article{altafini2000cas,
title={{The de Casteljau algorithm on SE(3)}},
author={Altafini, C.},
journal={Nonlinear control in the year 2000},
pages={23--34},
year={2000},
publisher={Springer}
}
@article{wang2008nps,
title={{Nonparametric second-order theory of error propagation on motion groups}},
author={Wang, Y. and Chirikjian, G.S.},
journal={The International journal of robotics research},
volume={27},
number={11-12},
pages={1258},
year={2008},
publisher={Multimedia Archives}
}
@article{gabay1982mdf,
title={{Minimizing a differentiable function over a differential manifold}},
author={Gabay, D.},
journal={Journal of Optimization Theory and Applications},
volume={37},
number={2},
pages={177--219},
year={1982},
publisher={Springer}
}
@article{bell1993ikf,
title={{The iterated Kalman filter update as a Gauss-Newton method}},
author={Bell, BM and Cathey, FW},
journal={IEEE Transactions on Automatic Control},
volume={38},
number={2},
pages={294--297},
year={1993}
}
@article{hertzberg2008fsm,
title={{A framework for sparse, non-linear least squares problems on manifolds}},
author={Hertzberg, C.},
journal={Master's thesis, Universit{\"a}t Bremen, Bremen, Germany},
year={2008}
}
@article{triggs2000bundle,
title={{Bundle adjustment—a modern synthesis}},
author={Triggs, B. and McLauchlan, P. and Hartley, R. and Fitzgibbon, A.},
journal={Vision algorithms: theory and practice},
pages={153--177},
year={2000},
publisher={Springer}
}
@article{hertzberg2013integrating,
title={Integrating generic sensor fusion algorithms with sound state representations through encapsulation of manifolds},
author={Hertzberg, Christoph and Wagner, Ren{\'e} and Frese, Udo and Schr{\"o}der, Lutz},
journal={Information Fusion},
volume={14},
number={1},
pages={57--77},
year={2013},
publisher={Elsevier}
}
@article{grassia1998practical,
title={Practical parameterization of rotations using the exponential map},
author={Grassia, F Sebastian},
journal={Journal of graphics tools},
volume={3},
number={3},
pages={29--48},
year={1998},
publisher={Taylor \& Francis}
}
@misc{sophus,
title={{Sophus}},
author={Strasdat, Hauke and Lovegrove, Steven},
year={2011},
publisher={Online},
url={https://github.com/strasdat/Sophus}
}
@article{gallier2003computing,
title={Computing exponentials of skew-symmetric matrices and logarithms of orthogonal matrices},
author={Gallier, Jean and Xu, Dianna},
journal={International Journal of Robotics and Automation},
volume={18},
number={1},
pages={10--20},
year={2003},
publisher={Anaheim, Calif.; Calgary, Alta.: Acta Press,[1986]-}
}