new removal in Delaunay implementation section

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Olivier Devillers 2010-06-15 14:00:05 +00:00
parent 0bf96f10dc
commit 6fadf5d1d0
1 changed files with 3 additions and 0 deletions

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@ -637,6 +637,9 @@ satisfied. Removal of a
vertex of degree $d$ takes time $O(d^2)$.
The degree $d$ is $O(1)$ for a random
vertex in the triangulation.
When the degree of the removed vertex is small ($\leq7$) a special
procedure is used that allows to increase global removal time by a factor of 2
for random points~\cite{d-vrtdd-09}.
The displacement of a vertex $v$ at a point $p$ to a new location $p'$, first checks whether the triangulation embedding remains
planar or not after moving $v$ to $p'$. If yes, it moves $v$ to $p'$ and simply performs a sequence of flips