Voronoi Diagrams: Difference between revisions
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(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...") |
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== Parameters == | == Parameters == | ||
n: number of points | |||
== Table of Algorithms == | == Table of Algorithms == | ||
Revision as of 12:02, 15 February 2023
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
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Space Complexity graph
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Pareto Decades graph
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