Smooth curves under tension

H. Pottmann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


A new type of interpolating spline under tension is presented. The curves are obtained by a variational formulation. Unlike the closely related tau-splines, they possess third order parametric continuity and a smooth torsion plot. The special case of uniform tension parameters yield even spline curves with fourth order geometric continuity.

Original languageEnglish (US)
Pages (from-to)241-245
Number of pages5
JournalComputer-Aided Design
Issue number4
StatePublished - May 1990
Externally publishedYes


  • curve design
  • geometric continuity
  • geometric modeling
  • spline under tension

ASJC Scopus subject areas

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering


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