2-dimensional Convex Hull (Convex Hull)

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Revision as of 10:19, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:2-dimensional Convex Hull (Convex Hull)}} == Description == The convex hull or convex envelope or convex closure of a set X of points in the Euclidean plane or in a Euclidean space (or; more generally; in an affine space over the reals) is the smallest convex set that contains X. Here, we are looking at the 2-dimensional case. == Related Problems == Generalizations: d-dimensional Convex Hull Subproblem: 2-dimensional Convex Hull, Online, 2...")
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Description

The convex hull or convex envelope or convex closure of a set X of points in the Euclidean plane or in a Euclidean space (or; more generally; in an affine space over the reals) is the smallest convex set that contains X. Here, we are looking at the 2-dimensional case.

Related Problems

Generalizations: d-dimensional Convex Hull

Subproblem: 2-dimensional Convex Hull, Online, 2-dimensional Convex Hull, Dynamic

Related: 3-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

References/Citation

https://ecommons.cornell.edu/handle/1813/6417

https://ecommons.cornell.edu/handle/1813/6417