Fairing of parametric cubic splines

J. Ye, R. Qu

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

The generation of smooth curves from a given set of data points is a very important problem in the field of Computer Aided Geometric Design. Cubic splines are widely used in practical applications, because of its simple mathematics and computation. However, these curves could sometimes oscillate and introduce unwanted inflexions. This paper develops an iterative method similar to Kjellander's to eliminate these oscillations and inflexions.

Original languageEnglish (US)
Pages (from-to)121-131
Number of pages11
JournalMathematical and Computer Modelling
Volume30
Issue number5-6
DOIs
StatePublished - Sep 1 1999

Keywords

  • Approximation
  • Curvature
  • Ferguson spline
  • Minimal energy curve

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications

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