Ray Shooting Amidst Convex Polygons in 2D


Journal Article

We consider the problem of ray shooting in a two-dimensional scene consisting of m convex polygons with a total of n edges. We present a data structure that requires O(mn log m) space and preprocessing time and that answers a ray shooting query in O(log2 m log2 n) time. If the polygons are pairwise disjoint, the space and preprocessing time can be improved to O((m2 + n)log m) and O((m2 + n log n)log m), respectively. Our algorithm also works for a collection of disjoint simple polygons. We also show that if we allow only O(n) space, a ray shooting query among a collection of disjoint simple polygons can be answered in time O([m/ √n]1+ε log2 n) time, for any ε > 0. © 1996 Academic Press, Inc.

Full Text

Duke Authors

Cited Authors

  • Agarwal, PK; Sharir, M

Published Date

  • January 1, 1996

Published In

Volume / Issue

  • 21 / 3

Start / End Page

  • 508 - 519

International Standard Serial Number (ISSN)

  • 0196-6774

Digital Object Identifier (DOI)

  • 10.1006/jagm.1996.0056

Citation Source

  • Scopus