P279: Enumeration of all pseudotriangulations of a finite point set

P279: Enumeration of all pseudotriangulations of a finite point set
Input:
A point set $S$ of size $n$.
Output:
All pointed pseudotriangulations of $S$.
Complexity:
$O(\log n)$ time per solution with linear space.
Comment:
Reference:
[Bereg2005] (Bibtex)