Computing simple paths among obstacles

8Citations
Citations of this article
10Readers
Mendeley users who have this article in their library.

Abstract

Given a set X of points in the plane, two distinguished points s, t ∈ X, and a set Φ of obstacles represented by line segments, we wish to compute a simple polygonal path from s to t that uses only points in X as vertices and avoids the obstacles in Φ. We present two results: (1) we show that finding such simple paths among arbitrary obstacles is NP-complete, and (2) we give a polynomial-time algorithm that computes simple paths when the obstacles form a simple polygon P and X is inside P. Our algorithm runs in time O(m2n2), where m is the number of vertices of P and n is the number of points in X. © 2000 Elsevier Science B.V. All rights reserved.

Cite

CITATION STYLE

APA

Cheng, Q., Chrobak, M., & Sundaram, G. (2000). Computing simple paths among obstacles. Computational Geometry: Theory and Applications, 16(4), 223–233. https://doi.org/10.1016/S0925-7721(00)00011-0

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free