Knot choosing by accommodating the first derivative constraint

Caiming Zhang, Fuhua Cheng

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

The current cubic spline curve interpolation scheme is derived based on the implicit assumption that the magnitude of the first derivative of the curve is close to a constant. However, the assumption is not realized by the interpolation scheme. A knot choosing technique for parametric cubic spline interpolating curve construction that accommodates this assumption is presented. A comparison of the new method with several existing methods is performed and test results are included.

Original languageEnglish
Title of host publicationProceedings - Geometric Modeling and Processing 2004
EditorsS.M. Hu, H. Pottmann
Pages31-37
Number of pages7
StatePublished - 2004
EventProceedings - Geometric Modeling and Processing 2004 - Beijing, China
Duration: Apr 13 2004Apr 15 2004

Publication series

NameProceedings - Geometric Modeling and Processing 2004

Conference

ConferenceProceedings - Geometric Modeling and Processing 2004
Country/TerritoryChina
CityBeijing
Period4/13/044/15/04

Keywords

  • Interpolation
  • Knots
  • Shape preserving
  • Smoothness
  • Spline curves
  • Strain energy

ASJC Scopus subject areas

  • General Engineering

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