Reporting all intersection points, generalized segments: Difference between revisions
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== Space | == Time-Space Tradeoff == | ||
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Revision as of 14:41, 15 February 2023
Description
In this case, the segments are generalized (i.e. have algebraic degree ≥1); we still wish to report all points of intersection.
Related Problems
Subproblem: Reporting all intersection points, line segments
Related: Reporting all intersection points, convex polygons, Reporting all intersection points, general polygons, 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 |
---|---|---|---|---|---|---|
Jean-Daniel Boissonnat and Franco P. Preparata. | 1997 | $O( n log n + k log n)$ | $O(n)$ | Exact | Deterministic | Time & Space |
Balaban. | 1995 | $O( nlog n + k )$ | $O(n)$ | Exact | Deterministic | Time & Space |
Boissonnat; Snoeyink | 1999 | $O( nlog n + k )$ | $O(n)$ | Exact | Deterministic | Time & Space |