Explicit retraction of $\mathbb{R}^n$ minus $k$ points to wedge sum of $k$ copies of $S^{(n-1)}$

Question

In proving $\mathbb{R}^n$ minus finitely many points is simply connected for $n\geq 3$, we use the fact above. This is intuitively very much clear but it would be very helpful if someone can help me to find the explicit retraction map. I couldn't able to find the map anywhere . Any help is very much appreciated.