Geometric curve approximation

Hans J. Wolters, Gerald Farin

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


We present a new metric to measure the shape quality of curves. This metric is based upon the concept of total curvature. We then present a rational approximation scheme that minimizes a functional defined in terms of this metric.

Original languageEnglish (US)
Pages (from-to)499-513
Number of pages15
JournalComputer Aided Geometric Design
Issue number6
StatePublished - Aug 1997


  • Approximation
  • Geometric continuity
  • Rational curves
  • Shape preservation

ASJC Scopus subject areas

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


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