Dynamic Planar Convex Hull
Research output: Working paper › Research
We present a data structure that maintains a set of n points in the plane under the insertion and deletion of points in amortized O(log n) time per operation. The space usage of the data structure is O(n). The data structure supports extreme point queries in a given direction, tangent queries through a given point, and queries for the neighboring points on the convex hull in O(log n) time. The extreme point queries can be used to decide whether or not a given line intersects the convex hull, and the tangent queries to determine whether a given point is inside the convex hull.
We give a lower bound on the amortized asymptotic time complexity that matches the performance of this data structure.
|Number of pages||87|
|Publication status||Published - 28 Feb 2019|