The singular cases for γ-spline interpolation

G. Farin, D. Hansford, A. Worsey

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We derive a natural extension of Boehm's free-form γ-spline, the G2 interpolating γ-spline. Primarily, the conditions under which singularities in the spline formulation occur are investigated. Also, the effect that these singularities have on the interpolant are studied. Comparisons are made to the behavior of the interpolating ν-spline.

Original languageEnglish (US)
Pages (from-to)533-546
Number of pages14
JournalComputer Aided Geometric Design
Volume7
Issue number6
DOIs
StatePublished - 1990

Fingerprint

Spline Interpolation
Splines
Spline
Interpolation
Singularity
Interpolants
Natural Extension
Formulation

Keywords

  • Geometric continuity
  • spline interpolation.

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Geometry and Topology
  • Modeling and Simulation

Cite this

The singular cases for γ-spline interpolation. / Farin, G.; Hansford, D.; Worsey, A.

In: Computer Aided Geometric Design, Vol. 7, No. 6, 1990, p. 533-546.

Research output: Contribution to journalArticle

Farin, G. ; Hansford, D. ; Worsey, A. / The singular cases for γ-spline interpolation. In: Computer Aided Geometric Design. 1990 ; Vol. 7, No. 6. pp. 533-546.
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