Maxima-finding algorithms for multidimensional samples: A two-phase approach

  • Authors:
  • Wei-Mei Chen;Hsien-Kuei Hwang;Tsung-Hsi Tsai

  • Affiliations:
  • Department of Electronic Engineering, National Taiwan University of Science and Technology, Taipei 106, Taiwan;Institute of Statistical Science, Academia Sinica, Taipei 115, Taiwan;Institute of Statistical Science, Academia Sinica, Taipei 115, Taiwan

  • Venue:
  • Computational Geometry: Theory and Applications
  • Year:
  • 2012

Quantified Score

Hi-index 0.00

Visualization

Abstract

Simple, two-phase algorithms are devised for finding the maxima of multidimensional point samples, one of the very first problems studied in computational geometry. The algorithms are easily coded and modified for practical needs. The expected complexity of some measures related to the performance of the algorithms is analyzed. We also compare the efficiency of the algorithms with a few major ones used in practice, and apply our algorithms to find the maximal layers and the longest common subsequences of multiple sequences.