TY - UNPB

T1 - Epsilon-Nets for Halfspaces Revisited

AU - Har-Peled, Sariel

AU - Kaplan, Haim

AU - Sharir, Micha

AU - Smorodinsky, Shakhar

PY - 2014/10/12

Y1 - 2014/10/12

N2 - 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.

AB - 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.

KW - Computer Science - Computational Geometry

M3 - פרסום מוקדם

BT - Epsilon-Nets for Halfspaces Revisited

PB - arXiv:1410.3154 [cs.CG]

ER -