The Complexity of Hyperplane Depth in the Plane
نویسندگان
چکیده
Given a set of n hyperplanes h1, . . . , hn ∈ R d the hyperplane depth of a point P ∈ R is the minimum number of hyperplanes that a ray from P can meet. The hyperplane depth of the arrangement is the maximal depth of points P not in any hi. We give an optimal O(n logn) deterministic algorithm to compute the hyperplane depth of an arrangement in dimension d = 2.
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ورودعنوان ژورنال:
- Discrete & Computational Geometry
دوره 30 شماره
صفحات -
تاریخ انتشار 2003