Linear time algorithm for approximating a curve by a single-peaked curve

Jinhee Chun, Kunihiko Sadakane, Takeshi Tokuyama

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Given a function y = f(x) in one variable, we consider the problem of computing the single-peaked (unimodal) curve y =φ(x) minimizing the L 2-distance between them. If the input function f is a histogram with O(n) steps or a piecewise linear function with O(n) linear pieces, we design algorithms for computing φ in linear time. We also give an algorithm to approximate f with a function consisting of the minimum number of unimodal pieces under the condition that each unimodal piece is within a fixed L 2-distance from the corresponding portion of f.

Original languageEnglish
Pages (from-to)103-115
Number of pages13
JournalAlgorithmica (New York)
Volume44
Issue number2
DOIs
Publication statusPublished - 2006 Feb 1

Keywords

  • Algorithms
  • Computational geometry
  • Curve simplification
  • Data analysis
  • Optimization

ASJC Scopus subject areas

  • Computer Science(all)
  • Computer Science Applications
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Linear time algorithm for approximating a curve by a single-peaked curve'. Together they form a unique fingerprint.

  • Cite this