Complexity Analysis for Convex Hull Algorithm
The below table enlists the time complexities of the above mentioned convex hull algorithms.
where, N denotes the total number of given points.
Convex Hull Algorithm |
Time Complexity |
---|---|
O(N*log N) |
|
O(N2) |
|
O(N*logN) |
|
O(N*log(N)) |
|
The analysis is similar to Quick Sort. On average, we get time complexity as O(N*log N), but in worst case, it can become O(N2) |
Convex Hull AlgorithmConvex Hull using Divide and Conquer Algorithm:Convex Hull using Jarvisâ Algorithm or Wrapping:Convex Hull using Graham Scan:
The Convex Hull Algorithm is used to find the convex hull of a set of points in computational geometry. The convex hull is the smallest convex set that encloses all the points, forming a convex polygon. This algorithm is important in various applications such as image processing, route planning, and object modeling.
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