English

Celestial Walk: A Terminating Oblivious Walk for Convex Subdivisions

Data Structures and Algorithms 2017-10-05 v1

Abstract

We present a new oblivious walking strategy for convex subdivisions. Our walk is faster than the straight walk and more generally applicable than the visibility walk. To prove termination of our walk we use a novel monotonically decreasing distance measure.

Cite

@article{arxiv.1710.01620,
  title  = {Celestial Walk: A Terminating Oblivious Walk for Convex Subdivisions},
  author = {Wouter Kuijper and Victor Ermolaev and Olivier Devillers},
  journal= {arXiv preprint arXiv:1710.01620},
  year   = {2017}
}
R2 v1 2026-06-22T22:03:36.096Z