\documentclass[border=10pt]{standalone}
\usepackage{asymptote}
\begin{document}
\begin{asy}[width=\the\linewidth,inline=true]
settings.outformat="pdf";
settings.render=0;
settings.prc=false;
size(7cm);
import fontsize;
defaultpen(fontsize(9pt));
real wd=0.6bp;
pen dotPen=deepblue+wd;
pen dotFill=dotPen;
pen dotPenB=blue+wd;
pen dotPenC=red+wd;
pen linePen=deepblue+wd;
pen fillPen=lightgreen+opacity(0.5);
pen thinLinePen=black+wd/2;
guide[] g;
g=texpath("$\Omega$");
filldraw(g,fillPen,linePen);
pair a,b,c,d;
pair labdir;
int pointNo=0;
for(int i=0;i<g.length;++i){
for(int j=0;j<size(g[i])-1;++j){
a=point(g[i],j);
d=point(g[i],j+1);
if(straight(g[i],j)){
draw(a--d,thinLinePen);
}else{
b=postcontrol(g[i],j);
c=precontrol(g[i],j+1);
draw(a--b--c--d,thinLinePen);
dot(b,dotPenB,UnFill);
dot(c,dotPenC,UnFill);
}
dot(a,dotPen,Fill(dotFill));
labdir=rotate(-90)*dir(g[i],j);
label("$\scriptsize "+string(pointNo)+"$",a,labdir);
++pointNo;
}
dot(d,dotPen,Fill(dotFill));
labdir=rotate(-90)*dir(g[i],size(g[i])-1);
label("$\scriptsize "+string(pointNo)+"$",d,labdir);
}
\end{asy}
\end{document}
Source: TeX.SE