Voronoi Diagrams (Voronoi Diagrams)
Revision as of 11:22, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Voronoi Diagrams (Voronoi Diagrams)}} == Description == Given a set of n points in 2-dimensional space, compute the Voronoi diagram with the n points as seeds. == Parameters == <pre>n: number of points</pre> == Table of Algorithms == {| class="wikitable sortable" style="text-align:center;" width="100%" ! Name !! Year !! Time !! Space !! Approximation Factor !! Model !! Reference |- | Fortune's algorithm (Voronoi Diagrams Voronoi Diagrams)|For...")
Description
Given a set of n points in 2-dimensional space, compute the Voronoi diagram with the n points as seeds.
Parameters
n: number of points
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Fortune's algorithm | 1986 | $O(nlogn)$ | $O(n)$ auxiliary | Exact | Deterministic | Time & Space |
| Linde–Buzo–Gray algorithm | 1980 | $O(nlogn)$ | Exact | Deterministic | Time | |
| Bowyer–Watson algorithm | 1981 | $O(nlogn)$ | $O(n)$ auxiliary | Exact | Deterministic | Time |
Time Complexity graph
Space Complexity graph
Pareto Decades graph
