Convex-hull algorithms: Implementation, testing, and experimentation

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  • Ask Neve Gamby
  • Jyrki Katajainen

From a broad perspective, we study issues related to implementation, testing, and experimentation in the context of geometric algorithms. Our focus is on the effect of quality of implementation on experimental results. More concisely, we study algorithms that compute convex hulls for a multiset of points in the plane. We introduce several improvements to the implementations of the studied algorithms: PLANE-SWEEP, TORCH, QUICKHULL, and THROW-AWAY. With a new set of space-efficient implementations, the experimental results-in the integer-arithmetic setting-are different from those of earlier studies. From this, we conclude that utmost care is needed when doing experiments and when trying to draw solid conclusions upon them.

Original languageEnglish
Article number195
JournalAlgorithms
Volume11
Issue number12
Pages (from-to)1-27
ISSN1999-4893
DOIs
Publication statusPublished - 2018

    Research areas

  • Algorithm, Algorithm engineering, Computational geometry, Convex hull, Experimentation, Implementation, Performance, Rectilinear convex hull, Robustness, Testing

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