\section{Algunos Kerneles Interesantes}
\noindent

\begin{enumerate}
	\item Generar los kerneles
	\begin{itemize}
		\item Caja
		\item Binomial
		\item Gaussiano
		\item Primeras derivadas en X y Y
		\item Segundas derivadas
	\end{itemize}
	\item Aplicar cada kernel a una imagen
\end{enumerate}

\section*{Desarrollo}
La imagen a la cual le aplicaremos los kerneles generados se muestra a continuaci'on:
\begin{figure}[!htbp]
\begin{center}
\includegraphics[scale=0.8]{Tareas/Tarea7/images/Lena.eps}
\caption{Imagen original}.
\label{fig:t7f1}
\end{center}
\end{figure}

Para todos los kerneles generados se tomaron los mismos par'ametros. 'Estos son de $31\times 31$ pixeles y de un n'umero de tama~no de caja igual a 15, coeficientes binomiale = 10 y sigma igual a 15 respectivamente.
\newpage
\subsection*{Generaci'on de kerneles}
\subsubsection*{Caja}
\begin{figure}[!htbp]
\begin{center}
    \subfigure[Kernel de caja.]{\label{fig:t7f3}\includegraphics[scale=0.2]{Tareas/Tarea7/images/Kcaja.eps}} 
    \subfigure[Imagen resultante.]{\label{fig:t7f4}\includegraphics[scale=0.7]{Tareas/Tarea7/images/caja.eps}}
  \end{center}
 % \caption{Kernel de caja.}
  \label{fig:t7f2}
\end{figure}

\subsubsection{Binomial}
\begin{figure}[!htbp]
\begin{center}
    \subfigure[Kernel binomial.]{\label{fig:t7f6}\includegraphics[scale=0.2]{Tareas/Tarea7/images/Kbinom.eps}} 
    \subfigure[Imagen resultante.]{\label{fig:t7f7}\includegraphics[scale=0.7]{Tareas/Tarea7/images/binom.eps}}
  \end{center}
 % \caption{Kernel de binomi.}
  \label{fig:t7f5}
\end{figure}
\newpage
\subsubsection{Gaussiano}
\begin{figure}[!htbp]
\begin{center}
    \subfigure[Kernel gaussiano]{\label{fig:t7f9}\includegraphics[scale=0.2]{Tareas/Tarea7/images/Kgauss.eps}} 
    \subfigure[Imagen resultante.]{\label{fig:t7f10}\includegraphics[scale=0.8]{Tareas/Tarea7/images/gauss.eps}}
  \end{center}
  %\caption{Kernel de caja.}
  \label{fig:t7f8}
\end{figure}

\subsubsection{Primeras derivadas}
\begin{figure}[!htbp]
\begin{center}
    \subfigure[Kernel $D_x$]{\label{fig:t7f12}\includegraphics[scale=0.2]{Tareas/Tarea7/images/KDx.eps}} 
    \subfigure[Imagen resultante.]{\label{fig:t7f13}\includegraphics[scale=0.7]{Tareas/Tarea7/images/Dx.eps}}
  \end{center}
%  \caption{Kernel de caja.}
  \label{fig:t7f11}
\end{figure}

\begin{figure}[!htbp]
\begin{center}
    \subfigure[Kernel $D_y$]{\label{fig:t7f15}\includegraphics[scale=0.2]{Tareas/Tarea7/images/KDy.eps}} 
    \subfigure[Imagen resultante.]{\label{fig:t7f16}\includegraphics[scale=0.7]{Tareas/Tarea7/images/Dy.eps}}
  \end{center}
%  \caption{Kernel de caja.}
  \label{fig:t7f14}
\end{figure}
\newpage
\subsubsection{Segundas derivadas}
\begin{figure}[!htbp]
\begin{center}
    \subfigure[Kernel $D_{xx}$]{\label{fig:t7f18}\includegraphics[scale=0.2]{Tareas/Tarea7/images/KDxx.eps}} 
    \subfigure[Imagen resultante.]{\label{fig:t7f19}\includegraphics[scale=0.7]{Tareas/Tarea7/images/Dx.eps}}
  \end{center}
  %\caption{Kernel de caja.}
  \label{fig:t7f17}
\end{figure}

\begin{figure}[!htbp]
\begin{center}
    \subfigure[Kernel $D_{xy}$]{\label{fig:t7f21}\includegraphics[scale=0.2]{Tareas/Tarea7/images/KDxy.eps}} 
    \subfigure[Imagen resultante.]{\label{fig:t7f22}\includegraphics[scale=0.7]{Tareas/Tarea7/images/Dxy.eps}}
  \end{center}
 % \caption{Kernel de caja.}
  \label{fig:t7f20}
\end{figure}

\begin{figure}[!htbp]
\begin{center}
    \subfigure[Kernel $D_{yy}$]{\label{fig:t7f24}\includegraphics[scale=0.2]{Tareas/Tarea7/images/KDyy.eps}} 
    \subfigure[Imagen resultante.]{\label{fig:t7f25}\includegraphics[scale=0.7]{Tareas/Tarea7/images/Dyy.eps}}
  \end{center}
 % \caption{Kernel de caja.}
  \label{fig:t7f23}
\end{figure}
