\documentclass[]{beamer}

\mode<presentation>
{
\defbeamertemplate*{headline}{section in head}
{
\begin{beamercolorbox}[ht=1.875ex,dp=0.75ex]{section in head}%
\insertsectionnavigationhorizontal{\paperwidth}{}{}% the last two arguments are left insert and right insert to add a logo for instance
\end{beamercolorbox}%
}
}
\setbeamertemplate{navigation symbols}{}
\setbeamertemplate{footline}{\hfill\insertframenumber{} /  \inserttotalframenumber{}\quad~}

\usepackage[french]{babel}
\usepackage[utf8]{inputenc} %Ligne PS
\usepackage[T1]{fontenc}
\usepackage{animate}

\usepackage{graphicx}
\usepackage{xcolor}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsfonts}
\usepackage{libertine}





\newcommand{\inlineitem}{%
\leavevmode\usebeamertemplate{itemize item}
}



\newcommand{\biblio}[1]{
{\tiny
\begin{thebibliography}{10}
\bibitem{}
#1
\end{thebibliography}
}
}



\let\geq\geqslant
\let\leq\leqslant


\AtBeginSection[]{
{
    \setbeamertemplate{headline}[default]
  \begin{frame}{Contents}
    \tableofcontents
  \end{frame}
}
}


\begin{document}
\begin{frame}
\frametitle{Algorithme de Bowyer-Watson, 1981: \\ \hfill Ajout d'un point dans une triangulation de Delaunay}

\vspace{-0.2cm}
\alert{\[ \mathcal T_{i+1} = \mathcal T_i - \mathcal C_P + \mathcal B_P \]}

\vspace{-0.2cm}
\begin{itemize}
\item $\mathcal C_P$ (cavité de $P$) : éléments de $\mathcal T_i$ dont la boule circonscrite contient $P$
\item $\mathcal B_P$ (boule de $P$) : ensemble des éléments formés en joignant $P$ aux faces externes de $\mathcal C_P$ 
\end{itemize}

\vspace{-0.2cm}
\begin{center}
\animategraphics[controls,width=0.45\textwidth]{0.5}{animationBW}{}{}
\end{center}
\end{frame}

\begin{frame}
\frametitle{Algorithme de Bowyer-Watson, 1981}
\biblio{Animation: Luamesh pour \LaTeX{} (M. Chupin) \quad \url{https://melusine.eu.org/syracuse/G/delaunay/}}

\vspace{-0.5cm}
\begin{center}
\animategraphics[controls,width=0.85\textwidth]{0.5}{animation}{}{}
\end{center}

\end{frame}

\end{document}

