Rellenar un área con un patrón guardado en un archivo

Question

Usando el siguiente código, ¿cómo puedo llenar esta área cerrada con un patrón guardado en un archivo externo como el adjunto?

\documentclass{beamer}
\setbeamertemplate{navigation symbols}{}
\usepackage{tikz}
\usepackage{pgfplots}
\begin{document}
\begin{frame}[t]
\frametitle{}
\begin{tikzpicture}[scale=.9, transform shape]
\node [thin, black] at (0,0) (i){x};
\draw [very thick, blue] (i.center) node (ii){} to [out=5, in=170] ++(0.:7.cm) -- +(-90:2.2cm)  to [out=130, in=-170, looseness=.6] (ii.center) -- cycle;
\end{tikzpicture}
\end{frame} 
\end{document} 

Answer 1

Beamer cargando el graphicxpaquete, uso una imagen de ejemplo disponible con este paquete.

Yo uso la path pictureopción que está definida en la secciónRelleno generalizado: uso de imágenes arbitrarias para rellenar un caminodel manual de TikZ.

\documentclass{beamer}
\setbeamertemplate{navigation symbols}{}
\usepackage{tikz}
\usepackage{pgfplots}
\begin{document}
\begin{frame}[t]
\frametitle{}
\begin{tikzpicture}[scale=.9, transform shape]
\node [thin, black] at (0,0) (i){};
\draw [very thick, blue] (i.center) node (ii){} to [out=5, in=170] ++(0.:7.cm) -- +(-90:2.2cm)  to [out=130, in=-170, looseness=.6] (ii.center) -- cycle
[path picture={\node at (path picture bounding box.center) {\includegraphics{example-image}};}];
\end{tikzpicture}
\end{frame} 
\end{document} 

Tamaño de la imagen

Como bien señala @zarko, es necesario que la imagen sea más grande que el camino. De lo contrario, hay un agujero.

Entonces, una solución es utilizar un factor de aumento, aquí scale=1.4.

\documentclass{article}
\usepackage[margin=10mm]{geometry}
\usepackage{graphicx,mwe,tikz}

\begin{document}

\Huge{SCALE=1}
\smallskip

\newcommand{\facteur}{1}

\begin{tikzpicture}
\node [thin, black] at (0,0) (i){};
\node[] at (i.center){\includegraphics[scale=\facteur]{example-image}};
\draw [very thick, blue,fill=cyan!80,fill opacity=.5] (-2.7,1) node (ii){} to [out=5, in=170] ++(0.:7.cm) -- +(-90:2.2cm)  to [out=130, in=-170, looseness=.6] (ii.center) -- cycle
[path picture={\node at (path picture bounding box.center) {\includegraphics[scale=\facteur]{example-image}};}];

\draw(current bounding box.south east)rectangle(current bounding box.north west);
\end{tikzpicture}


\bigskip
\Huge{SCALE=1}
\smallskip

\begin{tikzpicture}
\node [thin, black] at (0,0) (i){};
\node[] at (i.center){\includegraphics[scale=\facteur]{example-image-duck}};
\draw [very thick, blue,fill=cyan!80,fill opacity=.5] (-2.7,1) node (ii){} to [out=5, in=170] ++(0.:7.cm) -- +(-90:2.2cm)  to [out=130, in=-170, looseness=.6] (ii.center) -- cycle
[path picture={\node at (path picture bounding box.center) {\includegraphics[scale=\facteur]{example-image-duck}};}];

\draw(current bounding box.south east)rectangle(current bounding box.north west);
\end{tikzpicture}

\renewcommand{\facteur}{1.4}
\bigskip
\Huge{SCALE=1.4}
\smallskip

\begin{tikzpicture}
\node [thin, black] at (0,0) (i){};
\node[] at (i.center){\includegraphics[scale=\facteur]{example-image-duck}};
\draw [very thick, blue,fill=cyan!80,fill opacity=.5] (-2.7,1) node (ii){} to [out=5, in=170] ++(0.:7.cm) -- +(-90:2.2cm)  to [out=130, in=-170, looseness=.6] (ii.center) -- cycle
[path picture={\node at (path picture bounding box.center) {\includegraphics[scale=\facteur]{example-image-duck}};}];

\draw(current bounding box.south east)rectangle(current bounding box.north west);
\end{tikzpicture}
\end{document}

Answer 2

¿Como esto?

Como no tengo el archivo de patrón que uso example-image-duckdefinido en el graphicxpaquete.

MWE:

\documentclass{beamer}
\setbeamertemplate{navigation symbols}{}
\usepackage{tikz}
\usetikzlibrary{positioning}

\begin{document}
\begin{frame}
\frametitle{}
\begin{tikzpicture}[scale=.9, transform shape]
\coordinate (i);
\path[preaction={draw=blue!50, ultra thick},clip] 
    (i) to [out=5, in=170] ++(0.:7.cm) -- +(-90:2.2cm)  
        to [out=130, in=-170, looseness=.6] (i);
\node (j) [minimum width=\linewidth, minimum height=0.5\linewidth, 
           right=-5mm of i] 
    {\includegraphics[width=\linewidth]{example-image-duck}};
\end{tikzpicture}
\end{frame}
\end{document}