\documentclass[tikz,border=2pt]{standalone}
\begin{document}
\begin{tikzpicture}
\node at (0,0) (O) {} ;
\foreach \a in {0,10,...,360}
{
\draw (\a:0.25) to (O);
}
\end{tikzpicture}
\end{document}
The example code above draws the following picture
and you can see that the lines do not join the boundary of the node with a nice bevel. The effect is ragged.
I believe it would be possible, using a filled node and drawing lines to O.center on a background layer, to produce a smooth picture. But my question is can the lines be "joined" to the node in a smooth way?
Edited to clarify what is meant by "smooth"
This is a line joining a shape where the join is not smooth.
This is a line joining a shape where the join is smooth.
Perhaps it's a case of joining two separate paths. I seem to recall that Adobe Illustrator has that capability.







\clip (O.south west) rectangle (O.north east) (0,0) circle(2);to exactly match the boundaries of the node, but it didn't quite work as expected. – pheon Apr 15 '18 at 21:57outer sepif you want a tight connection. And take the line width into account. – percusse Apr 16 '18 at 08:30