Celestial Walk: A Terminating Oblivious Walk for Convex Subdivisions

TL;DR

The paper introduces a new oblivious walking strategy for convex subdivisions that is faster than existing methods and guarantees termination using a novel distance measure.

Contribution

It presents a faster, more general oblivious walk for convex subdivisions with a novel termination proof method.

Findings

Walk is faster than the straight walk

Applicable to a broader class than the visibility walk

Guarantees termination with a new distance measure

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.