3-dimensional Convex Hull: Difference between revisions

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== Parameters ==  
== Parameters ==  


n: number of line segments
$n$: number of line segments


h: number of points on the convex hull
$h$: number of points on the convex hull


== Table of Algorithms ==  
== Table of Algorithms ==  
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| [[Incremental convex hull algorithm; Michael Kallay ( Convex Hull)|Incremental convex hull algorithm; Michael Kallay]] || 1984 || $O(n log n)$ ||  || Exact || Deterministic || [https://www-sciencedirect-com.ezproxy.canberra.edu.au/science/article/pii/002001908490084X Time]
| [[Incremental convex hull algorithm; Michael Kallay ( Convex Hull)|Incremental convex hull algorithm; Michael Kallay]] || 1984 || $O(n \log n)$ ||  || Exact || Deterministic || [https://www-sciencedirect-com.ezproxy.canberra.edu.au/science/article/pii/002001908490084X Time]
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Latest revision as of 08:19, 10 April 2023

Description

Here, we are looking at the 3-dimensional case.

Related Problems

Generalizations: d-dimensional Convex Hull

Related: 2-dimensional Convex Hull, 2-dimensional Convex Hull, Online, 2-dimensional Convex Hull, Dynamic

Parameters

$n$: number of line segments

$h$: number of points on the convex hull

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Incremental convex hull algorithm; Michael Kallay 1984 $O(n \log n)$ Exact Deterministic Time

References/Citation

https://link-springer-com.ezproxy.canberra.edu.au/article/10.1007/BF02712873