Convex Polygonal Window: Difference between revisions
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(Created page with "{{DISPLAYTITLE:Convex Polygonal Window (Line Clipping)}} == Description == Line clipping is the process of removing lines or portions of lines outside an area of interest. Typically; any line or part thereof which is outside of the viewing area is removed. Here, the viewing area is a convex polygon. == Related Problems == Generalizations: Convex Polyhedral Window Subproblem: Rectangular Window == Parameters == <pre>n: number of lines p: number of edges o...") |
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== Parameters == | == Parameters == | ||
$n$: number of lines | |||
p: number of edges on polygon | |||
$p$: number of edges on polygon | |||
== Table of Algorithms == | == Table of Algorithms == | ||
{| class="wikitable sortable" style="text-align:center;" width="100%" | |||
== | |||
! Name !! Year !! Time !! Space !! Approximation Factor !! Model !! Reference | |||
|- | |||
[[ | | [[Cyrus–Beck (Convex Polygonal Window; Convex Polyhedral window Line Clipping)|Cyrus–Beck]] || 1978 || $O(np)$ || $O({1})$ || Exact || Deterministic || [https://www.sciencedirect.com/science/article/pii/0097849378900213 Time] | ||
|- | |||
|} | |||
== | == Time Complexity Graph == | ||
[[File:Line Clipping - Convex Polygonal Window - | [[File:Line Clipping - Convex Polygonal Window - Time.png|1000px]] | ||
== References/Citation == | == References/Citation == | ||
https://www.sciencedirect.com/science/article/pii/0097849394900647/pdf?md5=06bd1f11031af17d1fd34626c4e2f49b&pid=1-s2.0-0097849394900647-main.pdf | https://www.sciencedirect.com/science/article/pii/0097849394900647/pdf?md5=06bd1f11031af17d1fd34626c4e2f49b&pid=1-s2.0-0097849394900647-main.pdf | ||
Latest revision as of 09:07, 28 April 2023
Description
Line clipping is the process of removing lines or portions of lines outside an area of interest. Typically; any line or part thereof which is outside of the viewing area is removed. Here, the viewing area is a convex polygon.
Related Problems
Generalizations: Convex Polyhedral Window
Subproblem: Rectangular Window
Parameters
$n$: number of lines
$p$: number of edges on polygon
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Cyrus–Beck | 1978 | $O(np)$ | $O({1})$ | Exact | Deterministic | Time |
Time Complexity Graph
