lipase/doc/lipase.tex

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\documentclass[a4paper, 10pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{graphicx}
\usepackage{subcaption}
\usepackage[htt]{hyphenat} % allow hyphen inside texttt to avoid overfull hbox warnings
\usepackage[english, french]{babel}
\usepackage[margin=0.5in]{geometry} % default margins are too big for my taste: too much wasted space http://kb.mit.edu/confluence/pages/viewpage.action?pageId=3907057
\usepackage{amsmath} % provides underset
\hyphenation{tu-yau}
\title{lipase}
\author{Guillaume Raffy \and Véronique Vié }
\begin{document}
\selectlanguage{english}
\maketitle
\section{catalog images}
image prefix :
\selectlanguage{french}
\begin{description}
\item[AF]
\item[blé] coupes de blé
\item[CA] coupe d'amande
\item[FE] feuille d'épinard
\item[GGH] globule gras humain
\item[CRF] chloroplastes de feuille d'épinard
\item[OL] oléosome
\item[DARK] dark
\item[white]
\end{description}
\begin{description}
\item[cin1] cinétique 1
\begin{description}
\item[\texttt{phiG\_40x\_1}] cinétique avant et après injection enzyme gastrique
\item[\texttt{phiG\_40x\_Zstack20um\_1}] stack
\end{description}
\begin{tabular}{l|r|p{0.4\textwidth}}
file name & time & action \\
\hline
\texttt{phiG\_40x\_1} & 0 mn & on commence à enregistrer et on attend 10mn (pour le bleaching)\\
& 10 mn & debut injection phase gastrique (poussée) \\
& 13 mn & la phase gastrique (le petit tuyau contient $20 \mu l$) arrive dans la cellule d'un coup (1 nanol) \\
& 15 mn & on arrête l'injection \\
\cline{1-1} \texttt{phiG\_40x\_Zstack20um\_1} & 50 mn & on fait un stack\\
\cline{1-1} \texttt{phiG\_I\_40x\_1} & 51 mn & début d'injection phase intestinale (poussée)\\
& x mn & on arrête l'injection \\
\cline{1-1} \texttt{phiG\_I\_40x\_Zstack20um\_1} & 90 mn & on fait un stack
\end{tabular}
\item[cin2] autre échantillon similaire à cin1
\item[cond5678] condition non réalistes
\end{description}
\selectlanguage{english}
\section{computing background image for trap sequences}
Trap sequences show traps at fixed positions with particles that move over time, as shown in figure \ref{fig:trap_sequence1}. In order to detect the particles, we can subtract from each image a background image, which is an image of the scene without any particle.
If we suppose that particles are moving fast enough, we can estimate this background image $B$, as :
\begin{equation}
B(x,y) = \underset{t\in {1 \ldots T_{max}}}{\mathrm{median}} \{I(x,y,t)\}
\end{equation}
where $I(x,y,t)$ is the value of the input sequence at time $t$ and on pixel position $(x,y)$ and $T_{max}$ is the number of frames in the sequence.
\begin{figure}
\centering
\begin{subfigure}[b]{0.3\textwidth}
\includegraphics[width=1.0\textwidth]{graphics/res_soleil2018_GGH_GGH_2018_cin2_phiG_I_327_vis_-40_1_Pos0_img_000000000_DM300_nofilter_vis_000.png}
%\includegraphics[width=\textwidth]{1.png}
\caption{Frame 0}
%\label{fig:1}
\end{subfigure}
~
\begin{subfigure}[b]{0.3\textwidth}
\includegraphics[width=1.0\textwidth]{graphics/res_soleil2018_GGH_GGH_2018_cin2_phiG_I_327_vis_-40_1_Pos0_img_000000019_DM300_nofilter_vis_000.png}
%\includegraphics[width=\textwidth]{1.png}
\caption{Frame 19}
%\label{fig:1}
\end{subfigure}
~
\begin{subfigure}[b]{0.3\textwidth}
\includegraphics[width=1.0\textwidth]{graphics/res_soleil2018_GGH_GGH_2018_cin2_phiG_I_327_vis_-40_1_Pos0_img_000000039_DM300_nofilter_vis_000.png}
%\includegraphics[width=\textwidth]{1.png}
\caption{Frame 39}
%\label{fig:1}
\end{subfigure}
\caption{Example of trap sequence (\texttt{res\_soleil2018/GGH/GGH\_2018\_cin2\_phiG\_I\_327\_vis\_-40\_1/Pos0})}
\label{fig:trap_sequence1}
\end{figure}
\end{document}