Using hobby package (\usetikzlibrary{hobby}) and calc for operations with coordinates we get this (PGF/Tikz 3.0.x)
\documentclass[12pt,twoside,a4paper]{book}
\usepackage{graphicx,wrapfig,tikz}
\usetikzlibrary{calc,hobby} % To draw the smooth curve
\begin{document}
\tikzset{
circ/.pic={ % Defines a `circle` to mark the coordinates.
\fill (0,0) circle (2pt);
}
}
\begin{tikzpicture}
\coordinate (a1) at (0,0);
\coordinate (a2) at (3.3,-0.3);
\coordinate (a3) at (4.5,0.2);
\coordinate (a4) at (2,1.5);
\coordinate (a5) at (3,3);
\coordinate (a6) at (2.4,3.2);
\coordinate (a7) at (1,2);
\coordinate (O) at ($(a1)-(1,2)$);
\draw[thick] (O)--($(a3|-O)+(1,0)$);
\foreach \i in {5,6,7} \draw[densely dotted] (a\i)-- (a\i|-O);
\begin{scope}
\clip[use Hobby shortcut] ([out angle=-90]a1)..(a2)..([in angle=-90]a3);
\foreach \i in {5,6,7} \draw[red] (a\i)-- (a\i|-O);
\end{scope}
\begin{scope}
\clip[use Hobby shortcut] ([out angle=90]a3)..(a4)..(a5)..(a6)..(a7)..([in angle=90]a1);
\foreach \i in {5,6,7} \draw[red] (a\i)-- (a\i|-O);
\end{scope}
\draw[use Hobby shortcut,thick] ([out angle=-90]a1)..(a2)..([in angle=-90]a3);
\draw[use Hobby shortcut,thick] ([out angle=90]a3)..(a4)..(a5)..(a6)..(a7)..([in angle=90]a1);
\foreach \i in {1,3} \draw (a\i)-- (a\i|-O);
\foreach \i in {1,3,5,6,7} {\draw (a\i) pic {circ};}
\end{tikzpicture}
\end{document}

\documentclass{...}and ending with\end{document}. – Aug 21 '14 at 07:25