Smoothing curvature and torsion with spring splines

PH H. Wagner, X. Luo, Kim A Stelson

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

A method is presented for generating piecewise parametric cubic spline functions with derivatives free of spurious oscillations. The tradeoff between smoothness and goodness of fit is controlled by adjusting the stiffness ratio of the spline and springs. Beam on elastic foundation theory is used to derive a set of transfer functions that relate the amplitude of the noise in the data to the amplitude of the noise in the curvature and torsion. Guidance is provided for specifying the stiffness ratio and the end conditions of the spring spline.

Original languageEnglish (US)
Pages (from-to)615-626
Number of pages12
JournalComputer-Aided Design
Volume27
Issue number8
DOIs
StatePublished - Aug 1995

Keywords

  • curve fitting
  • intrinsic geometry
  • smoothing splines

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