Rectangular Window: Difference between revisions

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[[File:Line Clipping - Rectangular Window - Time.png|1000px]]
[[File:Line Clipping - Rectangular Window - Time.png|1000px]]
== Space Complexity Graph ==
[[File:Line Clipping - Rectangular Window - Space.png|1000px]]
== Time-Space Tradeoff ==
[[File:Line Clipping - Rectangular Window - Pareto Frontier.png|1000px]]


== References/Citation ==  
== References/Citation ==  


https://dl.acm.org/doi/10.1145/357332.357333
https://dl.acm.org/doi/10.1145/357332.357333

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 rectangular.

Related Problems

Generalizations: Convex Polygonal Window

Related: Convex Polyhedral Window

Parameters

$n$: number of lines

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Cohen–Sutherland 1967 $O(n)$ $O({1})$ Exact Deterministic Time
Liang–Barsky 1984 $O(n)$ $O({1})$ Exact Deterministic Time
Nicholl–Lee–Nicholl 1987 $O(n)$ $O({1})$ Exact Deterministic Time
Fast clipping 1987 $O(n)$ $O({1})$ Exact Deterministic Time

Time Complexity Graph

Line Clipping - Rectangular Window - Time.png

References/Citation

https://dl.acm.org/doi/10.1145/357332.357333