Pipe surfaces with rational spine curve are rational

Wei Lü, Helmut Pottmann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


The envelope of the one-parameter set of congruent spheres which are centered at the points of a curve S is a pipe surface with S as spine curve. We prove that pipe surfaces with rational spine curve always admit a rational parameterization and propose an algorithm for its computation.

Original languageEnglish (US)
Pages (from-to)621-628
Number of pages8
JournalComputer Aided Geometric Design
Issue number7
StatePublished - Oct 1996
Externally publishedYes


  • Blend surface
  • Normal ringed surface
  • Offset surface
  • Pipe surface
  • Pythagorean-hodograph curve
  • Rational parameterization
  • Rational surface

ASJC Scopus subject areas

  • Modeling and Simulation
  • Automotive Engineering
  • Aerospace Engineering
  • Computer Graphics and Computer-Aided Design


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