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\title{Sweeping Shapes}
\author{Joseph O'Rourke}
\date{\today}

\begin{document}

\frame{\titlepage}

\section[Outline]{}
\frame{\tableofcontents}

\section{Sweeping Models}
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\begin{frame}
\frametitle{Sweeping Models}
\begin{center} 
  \includegraphics[width=0.9\textwidth]{Model.pdf}
\end{center} 
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\section{Square}
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\begin{frame}
\frametitle{Unit Square}
\begin{center} 
  \includegraphics[width=0.9\textwidth]{Square.pdf}
\end{center} 
\end{frame}
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\section{Disk}
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\begin{frame}
\frametitle{Unit Disk}
\begin{center} 
  \includegraphics[width=0.9\textwidth]{Disk.pdf}
\end{center} 
\end{frame}
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\section{Equilateral Triangle}
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\begin{frame}
\frametitle{Unit Equilateral Triangle: Y-Sweep}
\begin{center} 
  \includegraphics[width=\textwidth]{YSweepEqTri.pdf}
\end{center} 
\end{frame}
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\begin{frame}
\frametitle{Unit Equilateral Triangle: Parallelogram}
\begin{center} 
  \includegraphics[width=\textwidth]{ParallelogramEqTri.pdf}
\end{center} 
\end{frame}
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\begin{frame}
\frametitle{Unit Equilateral Triangle: Recursive}
\begin{center} 
  \includegraphics[width=\textwidth]{SweepingEqTri.pdf}
\end{center} 
\end{frame}
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\section{Dumitrescu-Jiang Paper}
\begin{frame}

  \frametitle{Dumitrescu-Jiang Paper}

  ``Sweeping Points.''
  Adrian Dumitrescu and Minghui Jiang.
  \emph{Algorithmica}, 2010, to appear.

  \begin{itemize}
  \item<1-> Several models, many results
  \item<2-> Focus on discrete points
  \item<3-> Orthogonal sweeps only
  \item<3-> Lower \& Upper Bounds: between $\sqrt{3}$ and $2$
  \end{itemize}

\end{frame}
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\end{document}

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