\input{figures/figure-theme.tex}
\begin{tikzpicture}[aml figure,scale=1.0]
\amlfigurepalette
\tikzstyle{circlenode1}=[circle,minimum size=3pt, fill=blue, inner sep=0]
\tikzstyle{circlenode2}=[circle,minimum size=3pt, fill=red, inner sep=0]
\tikzstyle{circlenode3}=[circle,minimum size=2pt, fill=black, inner sep=0,black]
\begin{axis}[aml axis,ymin=0,ymax=14, ytick={0, 2,4,6,8,10,12,14},
xmin=0,xmax=12, xtick={0, 2,4,6,8,10,12},
scatter/classes={%
    a={mark=*,draw=FigureInk,fill=FigureInk}}]

\addplot[scatter,only marks,%
    scatter src=explicit symbolic]%
table[meta=label] {
x y label
0.6 3.3 a
2 2.5 a
4.3 12 a
4.7 3.3 a
4.5 1 a
5 6.8 a
6 10 a
8 1 a
3.6 13.5 a
1.5 8 a
7.5 9.8 a
    };

% \addplot[domain=1.8:2,blue] {x*x};
% \addplot[domain=2:2.2,blue] {x*x+1};
% \draw[dotted] (axis cs:2,0) -- (axis cs:2,5);
% \addplot[holdot] coordinates{(2,4)};
% \addplot[soldot] coordinates{(2,5)};

% \draw[dotted] (axis cs:0,4.5) -- (axis cs:2,4.5);

% \draw[->] (axis cs:1.9, 1.9*1.9+0.1) -- (axis cs:1.95, 1.95*1.95+0.1);

\draw[->, thick] (axis cs:0, 0) -- (axis cs:5.5, 12.65) ;
\node[anchor=north west, font=\footnotesize] at (axis cs:6, 13) {Direction 1};

\node[circlenode3] (node3) at (axis cs:4.7, 5.7){};

\node[,anchor=north east,font=\footnotesize]  at (axis cs:4.9, 5.7){Proj.};
\node[] (node1)at ($(axis cs:1.3, 0)!(axis cs:4.7, 5.7)!(axis cs:6.3, 11.5)$) {};
\draw[->,thick]  (node3) -- (node1);

\draw[red,dotted] (axis cs:5, 6.8) -- ($(axis cs:0, 0)!(axis cs:5, 6.8)!(axis cs:5, 11.5)$);
\node[circlenode2] at ($(axis cs:0, 0)!(axis cs:5, 6.8)!(axis cs:5, 11.5)$){};

\draw[red,dotted] (axis cs:6, 10) -- ($(axis cs:0, 0)!(axis cs:6, 10)!(axis cs:5, 11.5)$);
\node[circlenode2] at ($(axis cs:0, 0)!(axis cs:6, 10)!(axis cs:5, 11.5)$){};

\draw[red,dotted] (axis cs:7.5, 9.8) -- ($(axis cs:0, 0)!(axis cs:7.5, 9.8)!(axis cs:5, 11.5)$);
\node[circlenode2] at ($(axis cs:0, 0)!(axis cs:7.5, 9.8)!(axis cs:5, 11.5)$){};

\draw[red,dotted] (axis cs:8, 1) -- ($(axis cs:0, 0)!(axis cs:8, 1)!(axis cs:5, 11.5)$);
\node[circlenode2] at ($(axis cs:0, 0)!(axis cs:8, 1)!(axis cs:5, 11.5)$){};


\draw[red,dotted] (axis cs:4.5, 1) -- ($(axis cs:0, 0)!(axis cs:4.5, 1)!(axis cs:5, 11.5)$);
\node[circlenode2] at ($(axis cs:0, 0)!(axis cs:4.5, 1)!(axis cs:5, 11.5)$){};


\draw[red,dotted] (axis cs:0.6, 3.3 ) -- ($(axis cs:0, 0)!(axis cs:0.6, 3.3)!(axis cs:5, 11.5)$);
\node[circlenode2] at ($(axis cs:0, 0)!(axis cs:0.6, 3.3)!(axis cs:5, 11.5)$){};

\draw[red,dotted] (axis cs:4.7, 3.3 ) -- ($(axis cs:0, 0)!(axis cs:4.7, 3.3)!(axis cs:5, 11.5)$);
\node[circlenode2] at ($(axis cs:0, 0)!(axis cs:4.7, 3.3)!(axis cs:5, 11.5)$){};

\draw[red,dotted] (axis cs:4.3, 12 ) -- ($(axis cs:0, 0)!(axis cs:4.3, 12)!(axis cs:5, 11.5)$);
\node[circlenode2] at ($(axis cs:0, 0)!(axis cs:4.3, 12)!(axis cs:5, 11.5)$){};

\draw[red,dotted] (axis cs:3.6, 13.5 ) -- ($(axis cs:0, 0)!(axis cs:3.6, 13.5)!(axis cs:5, 11.5)$);
\node[circlenode2] at ($(axis cs:0, 0)!(axis cs:3.6, 13.5)!(axis cs:5, 11.5)$){};

\draw[red,dotted] (axis cs:1.5, 8 ) -- ($(axis cs:0, 0)!(axis cs:1.5, 8)!(axis cs:5, 11.5)$);
\node[circlenode2] at ($(axis cs:0, 0)!(axis cs:1.5, 8)!(axis cs:5, 11.5)$){};

\draw[red,dotted] (axis cs:2,2.5 ) -- ($(axis cs:0, 0)!(axis cs:2,2.5)!(axis cs:5, 11.5)$);
\node[circlenode2] at ($(axis cs:0, 0)!(axis cs:2,2.5)!(axis cs:5, 11.5)$){};
\draw[->, thick] (axis cs:0, 0) -- (axis cs:11, 6) ;


\draw[blue,dotted] (axis cs:2, 2.5) -- ($(axis cs:0, 0)!(axis cs:2, 2.5)!(axis cs:11,6)$);
\node[circlenode1] at ($(axis cs:0, 0)!(axis cs:2, 2.5)!(axis cs:11, 6)$){};


\node[] (node2)at ($(axis cs:-3.5, 0)!(axis cs:4.7, 5.7)!(axis cs:7.5,6)$) {};
\draw[->,thick]  (node3) -- (node2);


%\draw[blue,dotted] (axis cs:3.6, 5.6) -- ($(axis cs:0, 0)!(axis cs:3.6, 5.6)!(axis cs:11, 6)$);
%\node[circlenode1] at ($(axis cs:0, 0)!(axis cs:3.6, 5.6)!(axis cs:11, 6)$){};

\draw[blue,dotted] (axis cs:5, 6.8) -- ($(axis cs:0, 0)!(axis cs:5, 6.8)!(axis cs:11, 6)$);
\node[circlenode1] at ($(axis cs:0, 0)!(axis cs:5, 6.8)!(axis cs:11, 6)$){};

\draw[blue,dotted] (axis cs:6, 10) -- ($(axis cs:0, 0)!(axis cs:6, 10)!(axis cs:11, 6)$);
\node[circlenode1] at ($(axis cs:0, 0)!(axis cs:6, 10)!(axis cs:11, 6)$){};

\draw[blue,dotted] (axis cs:7.5, 9.8) -- ($(axis cs:0, 0)!(axis cs:7.5, 9.8)!(axis cs:11, 6)$);
\node[circlenode1] at ($(axis cs:0, 0)!(axis cs:7.5, 9.8)!(axis cs:11, 6)$){};

\draw[blue,dotted] (axis cs:4.5, 1) -- ($(axis cs:0, 0)!(axis cs:4.5, 1)!(axis cs:11, 6)$);
\node[circlenode1] at ($(axis cs:0, 0)!(axis cs:4.5, 1)!(axis cs:11, 6)$){};

\draw[blue,dotted] (axis cs:0.6, 3.3 ) -- ($(axis cs:0, 0)!(axis cs:0.6, 3.3)!(axis cs:11, 6)$);
\node[circlenode1] at ($(axis cs:0, 0)!(axis cs:0.6, 3.3)!(axis cs:11, 6)$){};

\draw[blue,dotted] (axis cs:8, 1 ) -- ($(axis cs:0, 0)!(axis cs:8, 1)!(axis cs:11, 6)$);
\node[circlenode1] at ($(axis cs:0, 0)!(axis cs:8, 1)!(axis cs:11, 6)$){};

\draw[blue,dotted] (axis cs:4.7, 3.3 ) -- ($(axis cs:0, 0)!(axis cs:4.7, 3.3)!(axis cs:11, 6)$);
\node[circlenode1] at ($(axis cs:0, 0)!(axis cs:4.7, 3.3)!(axis cs:11, 6)$){};

\draw[blue,dotted] (axis cs:4.3, 12 ) -- ($(axis cs:0, 0)!(axis cs:4.3, 12)!(axis cs:11, 6)$);
\node[circlenode1] at ($(axis cs:0, 0)!(axis cs:4.3, 12)!(axis cs:11, 6)$){};

\draw[blue,dotted] (axis cs:3.6, 13.5 ) -- ($(axis cs:0, 0)!(axis cs:3.6, 13.5)!(axis cs:11, 6)$);
\node[circlenode1] at ($(axis cs:0, 0)!(axis cs:3.6, 13.5)!(axis cs:11, 6)$){};

\draw[blue,dotted] (axis cs:1.5,8 ) -- ($(axis cs:0, 0)!(axis cs:1.5,8)!(axis cs:11, 6)$);
\node[circlenode1] at ($(axis cs:0, 0)!(axis cs:1.5,8)!(axis cs:11, 6)$){};

\node[anchor=north east,font=\footnotesize] at (axis cs:11.5,7.5) {Direction 2};
% \node[anchor=east] (source) at (axis cs:2.1,5){\text\ F(x)};
% \node[anchor=east] (source) at (axis cs:1.95,3.5){\text\ F(x)};

% \node[anchor=north](source) at (axis cs:1.8,4.6){$\omega$};
% \node[anchor=south](source) at (axis cs:2,3.2){$X^{+/-}(\omega)$};

\end{axis}
\end{tikzpicture}
