H-Walk

Abstract
This paper presents the Hierarchical Walk, or H-Walk al- gorithm, which maintains the distance between two moving convex bodies by exploiting both motion coherence and hi- erarchical representations. For convex polygons, we prove that H-Walk improves on the classic Lin-Canny and Dobkin- Kirkpatrick algorithms. We have implemented H-Walk for moving convex polyhedra in three dimensions. Experimen- tal results indicate that, unlike previous incremental dis- tance computation algorithms, H-Walk adapts well to vari- able coherence in the motion.

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