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% Totally not inspired by LSD-SLAM https://vision.in.tum.de/_media/spezial/bib/engel14eccv.pdf | |
\documentclass{article} | |
\usepackage[utf8]{inputenc} | |
\usepackage{amsmath} | |
\usepackage{amsfonts} | |
\begin{document} | |
A 3D rigid body transform, $\mathbf{G} \in SE(3)$ : | |
\begin{flalign*} | |
&\mathbf{G} = | |
\begin{bmatrix} | |
\mathbf{R} & \mathbf{t}\\ | |
\mathbf{0} & 1 | |
\end{bmatrix} | |
\end{flalign*} | |
where $\mathbf{R} \in SO(3)$. | |
During optimization, \\ | |
a minimal representation is given by \\ | |
$\mathbf{\xi} \in \mathit{se}(3)$ of the associated lie algebra.\\ | |
oh btw, log map is bla.\\ | |
exp map is blabla. | |
\end{document} |
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