Constructing parametric quadratic curves

Caiming Zhang, Fuhua F. Cheng

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Constructing a parametric spline curve to pass through a set of data points requires assigning a knot to each data point. In this paper we discuss the construction of parametric quadratic splines and present a method to assign knots to a set of planar data points. The assigned knots are invariant under affine transformations of the data points, and can be used to construct a parametric quadratic spline which reproduces parametric quadratic polynomials. Results of comparisons of the new method with several known methods are included. copy; 1999 Elsevier Science B.V. All rights reserved.

Original languageEnglish
Pages (from-to)21-36
Number of pages16
JournalJournal of Computational and Applied Mathematics
Issue number1
StatePublished - Feb 15 1999

Bibliographical note

Funding Information:
* Corresponding author. E-mail: [email protected]. l Supported by Ford. 2 Supported by NSF (9722728), Ford and Honda.


  • Interpolation
  • Knots
  • Parametric quadratic curve
  • Spline

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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