2-dimensional Convex Hull, Online (Convex Hull)
Revision as of 10:19, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:2-dimensional Convex Hull, Online (Convex Hull)}} == Description == Here, we are given the input points one by one, and must maintain the current convex hull after each input point. == Related Problems == Generalizations: 2-dimensional Convex Hull Related: 3-dimensional Convex Hull, d-dimensional Convex Hull, 2-dimensional Convex Hull, Dynamic == Parameters == <pre>n: number of line segments h: number of points on the convex hull</...")
Description
Here, we are given the input points one by one, and must maintain the current convex hull after each input point.
Related Problems
Generalizations: 2-dimensional Convex Hull
Related: 3-dimensional Convex Hull, d-dimensional Convex Hull, 2-dimensional Convex Hull, Dynamic
Parameters
n: number of line segments h: number of points on the convex hull
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Incremental convex hull algorithm; Michael Kallay | 1984 | $O(n log n)$ | Exact | Deterministic | Time | |
| Online 2-d Convex Hull, Preparata | 1979 | $O(logn)$ per operation, $O(n*log(n)$) total | $O(n)$ | Exact | Deterministic | Time |
References/Citation
https://dl.acm.org/doi/abs/10.1145/359131.359132
https://link.springer.com/content/pdf/10.1007/978-1-4612-1098-6.pdf