On the Budgeted Hausdorff Distance Problem

Authors

  • Sariel Har-Peled University of Illinois
  • Benjamin Raichel University of Texas at Dallas

DOI:

https://doi.org/10.57717/cgt.v4i2.57

Abstract

Given a set P of n points in the plane, and a parameter k, we present an algorithm, whose running time is O(n3/2 √k log3/2n + kn log2n), with high probability, that computes a subset Q* of P of k points, that minimizes the Hausdorff distance between the convex-hulls of Q* and P . This is the first subquadratic algorithm for this problem if k is small.

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Published

2025-05-11

How to Cite

Har-Peled, S., & Raichel, B. (2025). On the Budgeted Hausdorff Distance Problem. Computing in Geometry and Topology, 4(2), 3:1–3:8. https://doi.org/10.57717/cgt.v4i2.57

Issue

Vol. 4 No. 2 (2025)

Section

Original Research Articles

Categories

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Copyright (c) 2025 Sariel Har-Peled, Benjamin Raichel

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