\begin{figure}[ht]
  \subfigure[7056 (84x84) pieces]{\label{uniform_05}
    \begin{minipage}[c]{0.5\textwidth}
  \centering 
  \includegraphics[width=1.0\textwidth]{figs_ivpbuild/uniform_05.eps}
  \end{minipage}}%
  \subfigure[1024 (32x32) pieces]{\label{uniform_15}
  \begin{minipage}[c]{0.5\textwidth}
  \centering 
  \includegraphics[width=1.0\textwidth]{figs_ivpbuild/uniform_15.eps}
  \end{minipage}} \\

  \subfigure[289 (17x17) pieces]{\label{uniform_30}
    \begin{minipage}[c]{0.5\textwidth}
  \centering 
  \includegraphics[width=1.0\textwidth]{figs_ivpbuild/uniform_30.eps}
  \end{minipage}}%
  \subfigure[100 (10x10) pieces]{ \label{uniform_50}
  \begin{minipage}[c]{0.5\textwidth}
  \centering 
  \includegraphics[width=1.0\textwidth]{figs_ivpbuild/uniform_50.eps}
  \end{minipage}} \\
  \caption{A rendering of four different IvP functions approximating the same
underlying functions. Each IvP function uses a different number of uniform pieces.}
  \label{fig_uniform}
\end{figure}

\begin{table}[H]
\begin{minipage}[c]{1.0\textwidth}
  \centering
  \mbox{
  \footnotesize
  \begin{tabular}{|c|r|r|c|r|r|r|} \hline
Case & Edge Size &  Pieces  & Layout     &  Worst   & Avg    &  Time \\ \hline \hline
1    & 3         &  15876   &  (126x126) & 1.3255  & 0.0061 &  0.1128  \\
2    & 5         &   7056   &  (84x84)   & 1.5274  & 0.0159 &  0.0497  \\
3    & 7         &   3969   &  (63x63)   & 1.8082  & 0.0304 &  0.0286  \\
4    & 10        &   2116   &  (46x46)   & 3.4358  & 0.0609 &  0.0160  \\
5    & 15        &   1024   &  (32x32)   & 7.4927  & 0.1353 &  0.0074  \\
6    & 20        &    576   &  (24x24)   & 11.5648 & 0.2335 &  0.0047  \\
7    & 25        &    400   &  (20x20)   & 17.5356 & 0.3612 &  0.0026  \\
8    & 30        &    289   &  (17x17)   & 25.6813 & 0.5054 &  0.0021  \\
9    & 40        &    169   &  (13x13)   & 38.8885 & 0.9159 &  0.0013  \\
10   & 50        &    100   &  (10x10)   & 33.7699 & 1.1556 &  0.0009  \\
11   & 75        &     49   &  (7x7)     & 74.5680 & 2.4504 &  0.0004  \\
12   & 100       &     25   &  (5x5)     & 79.7045 & 3.0987 &  0.0002  \\
13   & 500       &      1   &  (1x1)     & 98.3124 & 5.0053 &  0.0001  \\ \hline
  \end{tabular}
  \normalsize}
\end{minipage}
\caption{The relationship between piece size, accuracy and construction time
is shown for varying uniform piece size. Four of the row entries are rendered
in Figure \ref{fig_uniform}.}
\label{table_uniform}
\end{table}
