Smooth curves under tension

Helmut Pottmann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

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
Volume22
Issue number4
DOIs
StatePublished - Jan 1 1990

Keywords

  • 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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