2-dimensional Convex Hull, Dynamic: Difference between revisions
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(Created page with "{{DISPLAYTITLE:2-dimensional Convex Hull, Dynamic (Convex Hull)}} == Description == Here, the input points may be sequentially inserted or deleted, and the convex hull must be updated after each insert/delete operation. == Related Problems == Generalizations: 2-dimensional Convex Hull Related: 3-dimensional Convex Hull, d-dimensional Convex Hull, 2-dimensional Convex Hull, Online == Parameters == <pre>n: number of line segments h: number of point...") |
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== Parameters == | == Parameters == | ||
n: number of line segments | |||
h: number of points on the convex hull | |||
h: number of points on the convex hull | |||
== Table of Algorithms == | == Table of Algorithms == | ||
Revision as of 12:02, 15 February 2023
Description
Here, the input points may be sequentially inserted or deleted, and the convex hull must be updated after each insert/delete operation.
Related Problems
Generalizations: 2-dimensional Convex Hull
Related: 3-dimensional Convex Hull, d-dimensional Convex Hull, 2-dimensional Convex Hull, Online
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 | |
| Dynamic 2-d Convex Hull, Overmars and van Leeuwen | 1980 | $O(log^{2}(n)$) per operation, $O(n*log^{2}(n)$) total | Exact | Deterministic | Time | |
| (many more...) | Exact | Deterministic |