Given a set P of n points in R 3 , we show that, for any ε > 0, there exists an ε-net of P for halfspace ranges, of size O(1/ε). We give five proofs of this result, which are arguably simpler than previous proofs [MSW90, CV07, PR08]. We also consider several related variants of this result, including the case of points and pseudo-disks in the plane.
|State||Published - 12 Oct 2014|
- Computer Science - Computational Geometry