A method for determining knots in parametric curve interpolation

Caiming Zhang, Fuhua Cheng, Kenjiro T. Miura

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

The process of constructing a parametric quadratic polynomial with four data points is discussed and a new method for determining knots in parametric curve interpolation is presented. The method has a parametric polynomial reproduction degree of two, i.e., an interpolation scheme which reproduces quadratic polynomials would reproduce parametric quadratic polynomials if the new method is used to construct knots in the interpolation process. Testing results on the efficiency of the new method are also included.

Original languageEnglish
Pages (from-to)399-416
Number of pages18
JournalComputer Aided Geometric Design
Volume15
Issue number4
DOIs
StatePublished - Apr 1998

Bibliographical note

Funding Information:
* Corresponding author. J Work by this author is supported by the National Science Foundation (NSF-94(X)823).

Keywords

  • Interpolation
  • Knots
  • Parametric curves
  • Quadratic polynomials

ASJC Scopus subject areas

  • Modeling and Simulation
  • Automotive Engineering
  • Aerospace Engineering
  • Computer Graphics and Computer-Aided Design

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