Publications [#236985] of John H. Reif

Journal articles or Book chapters PUBLISHED

1. Sun, Z; Reif, J, BUSHWHACK: An approximation algorithm for minimal paths through pseudo-euclidean spaces, Lecture Notes in Computer Science Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics, vol. 2223 LNCS (December, 2001), pp. 160-171, Springer Berlin Heidelberg, ISSN 0302-9743 [pdf], [doi]
   (last updated on 2026/01/14)

   Abstract:
   In this paper we define piecewise pseudo-Euclidean optimal path problems, where each region has a distinct cost metric of a class we call pseudo-Euclidean, that allows the path cost to possibly vary within the region in a predictable and efficiently computable way. This pseudo-Euclidean class of costs allows us to model a wide variety of various geographical features. We provide an approximation algorithm named BUSHWHACK that efficiently solves these piecewise pseudo-Euclidean optimal path problems. BUSHWHACK uses a previously known technique of dynamically generating a discretization in progress. However, it combines with this technique a "lazy" and best-first path propagation scheme so that fewer edges need to be added into the discretization. We show both analytically and experimentally that BUSHWHACK is more efficient than approximation algorithms based on Dijkstra's algorithm. © 2001 Springer Berlin Heidelberg.