P425: Enumeration of all non-crossing perfect matchings (and convex partitions) in a given points

P425: Enumeration of all non-crossing perfect matchings (and convex partitions) in a given points
Input:
A point sets $P$ in a plane
Output:
All non-crossing perfect matchings (and convex partitions) in $P$.
Complexity:
After $O(2^nn^4)$ preprocessing time, polynomial delay.
Comment:
$n$ is the number of points in $P$
Reference:
[Wettstein2014] (Bibtex)