The ultimate planar convex hull algorithm

Bounding hulls such as convex hull, -shape, -hull, concave hull, crust, etc. offer a wide variety of useful applications. In this paper, we explore another bounding hull, namely -concave hull, as a generalization of convex hull. The parameter determines ...

In this paper we determine the computational complexity of the dynamic convex hull problem in the planar case. We present a data structure that maintains a finite set of n points in the plane under insertion and deletion of points in amortized O(log n) ...

Kirkpatrick and Seidel [13,14] recently proposed an algorithm for computing the convex hull of n points in the plane that runs in O(n log h) worst case time, where h denotes the number of points on the convex hull of the set. Here a modification of ...