P323: Enumeration of all triangulations of a point set

P323: Enumeration of all triangulations of a point set
Input:
A point set $P$.
Output:
All triangulations of $P$.
Complexity:
$O(|P|N)$ total time and $O(|P|)$ space.
Comment:
$N$ is the number of solutions.
Reference:
[Avis1996] (Bibtex)