Reporting all intersection points, convex polygons: Difference between revisions
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== Time Complexity | == Time Complexity Graph == | ||
[[File:Line segment intersection - Reporting all intersection points, convex polygons - Time.png|1000px]] | [[File:Line segment intersection - Reporting all intersection points, convex polygons - Time.png|1000px]] | ||
== Space Complexity | == Space Complexity Graph == | ||
[[File:Line segment intersection - Reporting all intersection points, convex polygons - Space.png|1000px]] | [[File:Line segment intersection - Reporting all intersection points, convex polygons - Space.png|1000px]] | ||
== Pareto | == Pareto Frontier Improvements Graph == | ||
[[File:Line segment intersection - Reporting all intersection points, convex polygons - Pareto Frontier.png|1000px]] | [[File:Line segment intersection - Reporting all intersection points, convex polygons - Pareto Frontier.png|1000px]] | ||
Revision as of 13:04, 15 February 2023
Description
In this case, we are supplied with a list of convex polygons, and we wish to report all regions of intersection.
Related Problems
Generalizations: Reporting all intersection points, general polygons
Related: Reporting all intersection points, line segments, Reporting all intersection points, generalized segments, Counting number of intersection points, line segments
Parameters
n: number of line segments
k: number of points of intersection
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| NIEVERGELT. J.. AND PREPARATA (Section 3) | 1982 | $O( nlog n + k )$ | $O(n)$ | Exact | Deterministic | Time & Space |
Time Complexity Graph
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Space Complexity Graph
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Pareto Frontier Improvements Graph
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References/Citation
https://pdfs.semanticscholar.org/a571/cc92218132a1b0e65c2adbf663c79d015737.pdf