Bowyer–Watson algorithm (Voronoi Diagrams Voronoi Diagrams): Difference between revisions

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(Created page with "== Time Complexity == $O(nlogn)$ == Space Complexity == $O(n)$ auxiliary words (Computes the Delaunay triangulation first (O(n) space), then uses that to generate the Voronoi diagram) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word/Real RAM == Year == 1981 == Reference == https://academic-oup-com.ezproxy.canberra.edu.au/comjnl/article/24/2/167/338200")
 
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== Time Complexity ==  
== Time Complexity ==  


$O(nlogn)$
$O(n \log n)$


== Space Complexity ==  
== Space Complexity ==  


$O(n)$ auxiliary words
$O(n)$ words


(Computes the Delaunay triangulation first (O(n) space), then uses that to generate the Voronoi diagram)
(Computes the Delaunay triangulation first (O(n) space), then uses that to generate the Voronoi diagram)

Latest revision as of 08:42, 10 April 2023

Time Complexity

$O(n \log n)$

Space Complexity

$O(n)$ words

(Computes the Delaunay triangulation first (O(n) space), then uses that to generate the Voronoi diagram)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word/Real RAM

Year

1981

Reference

https://academic-oup-com.ezproxy.canberra.edu.au/comjnl/article/24/2/167/338200