A novel approach to the convexity control of interpolant curves

Qi Duan, Liqiu Wang, E. H. Twizell

Research output: Journal article publicationJournal articleAcademic researchpeer-review

20 Citations (Scopus)

Abstract

A method is presented for controlling the convexity of interpolant curves based on a rational cubic interpolating function with quadratic denominator. The key idea is that the uniqueness of the interpolating function for the given data is replaced by the uniqueness of the interpolating function for the given data and the parameters, so that for the given data the shape of the interpolating curve can be modified by selecting suitable parameters. Necessary and sufficient conditions are given for adjusting the convexity of the interpolating curve for given data. Examples are given and the optimal error estimation is given.

Original languageEnglish
Pages (from-to)833-845
Number of pages13
JournalCommunications in Numerical Methods in Engineering
Volume19
Issue number10
DOIs
Publication statusPublished - Oct 2003
Externally publishedYes

Keywords

  • Constrained interpolation
  • Curve design
  • Error estimation
  • Preserving convexity interpolation
  • Rational spline

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • General Engineering
  • Computational Theory and Mathematics
  • Applied Mathematics

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