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rtabmap/preview/pr-1492/api/latest/_formulas.tex
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\documentclass{article}
\usepackage{ifthen}
\usepackage{epsfig}
\usepackage[utf8]{inputenc}
\usepackage{xcolor}
\usepackage{newunicodechar}
\makeatletter
\def\doxynewunicodechar#1#2{%
\@tempswafalse
\edef\nuc@tempa{\detokenize{#1}}%
\if\relax\nuc@tempa\relax
\nuc@emptyargerr
\else
\edef\@tempb{\expandafter\@car\nuc@tempa\@nil}%
\nuc@check
\if@tempswa
\@namedef{u8:\nuc@tempa}{#2}%
\fi
\fi
}
\makeatother
\doxynewunicodechar{⁻}{${}^{-}$}% Superscript minus
\doxynewunicodechar{²}{${}^{2}$}% Superscript two
\doxynewunicodechar{³}{${}^{3}$}% Superscript three
\pagestyle{empty}
\begin{document}
\[
\text{FoV}_x = 2 \cdot \tan^{-1}\left(\frac{\text{image width}}{2 \cdot f_x}\right)
\]
\pagebreak
\[
\text{FoV}_y = 2 \cdot \tan^{-1}\left(\frac{\text{image height}}{2 \cdot f_y}\right)
\]
\pagebreak
\[
\text{depth} = \frac{\text{baseline} \times f_x}{\text{disparity} + (c_{x_{right}} - c_{x_{left}})}
\]
\pagebreak
\[
\text{disparity} = \frac{\text{baseline} \times f_x}{\text{depth}} - (c_{x_{right}} - c_{x_{left}})
\]
\pagebreak
\[
\text{disparity} = \frac{\text{baseline} \times f_x}{\text{depth (meters)}} - (c_{x_{right}} - c_{x_{left}})
\]
\pagebreak
\[ \text{depth} = \frac{\text{baseline} \times \text{focal length}}{\text{disparity}} \]
\pagebreak
\[ Z = \frac{baseline \times f}{disparity + (cx1 - cx0)} \]
\pagebreak
\end{document}