Efficient approximation of minimum energy curves with interpolatory constraints

Ruibin Qu, Jieping Ye

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

Different methods for the approximation of a set of data points with interpolatory property and appropriate boundary conditions are investigated with respect to the exact energy value. It is found that for a given set of data points on a plane, the 6-point interpolatory subdivision method could be the best choice among the current widely used methods such as cubic splines and exponential splines due to its simplicity, locality, efficiency and most of all, its near-minimum energy property. Examples and graphics are provided to show these properties of the curves produced by the subdivision algorithm.

Original languageEnglish (US)
Pages (from-to)151-166
Number of pages16
JournalApplied Mathematics and Computation
Volume109
Issue number2-3
DOIs
StatePublished - Mar 15 2000

Keywords

  • Approximation
  • Interpolation
  • Minimal energy curve
  • Spline
  • Subdivision algorithm

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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