Reporting all intersection points, convex polygons (Line segment intersection)

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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

Line segment intersection - Reporting all intersection points, convex polygons - Time.png

Space Complexity graph

Line segment intersection - Reporting all intersection points, convex polygons - Space.png

Pareto Decades graph

Line segment intersection - Reporting all intersection points, convex polygons - Pareto Frontier.png

References/Citation

https://pdfs.semanticscholar.org/a571/cc92218132a1b0e65c2adbf663c79d015737.pdf