Approximation by ruled surfaces

Horng Yang Chen, Helmut Pottmann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

49 Scopus citations


Given a surface or scattered data points from a surface in 3-space, we show how to approximate the given data by a ruled surface in tensor product B-spline representation. This leads us to a general framework for approximation in line space by local mappings from the Klein quadric to Euclidean 4-space. The presented algorithm for approximation by ruled surfaces possesses applications in architectural design, reverse engineering, wire electric discharge machining and NC milling.

Original languageEnglish (US)
Pages (from-to)143-156
Number of pages14
JournalJournal of Computational and Applied Mathematics
Issue number1
StatePublished - Feb 15 1999
Externally publishedYes


  • Computer-aided design
  • Line geometry
  • NC milling
  • Reverse engineering
  • Ruled surface
  • Surface approximation
  • Wire EDM

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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