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

From Algorithm Wiki
Revision as of 09:05, 28 April 2023 by Admin (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

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 $O( n \log n + k )$ $O(n)$ Exact Deterministic Time & Space

Time Complexity Graph

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

References/Citation

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