High accuracy piecewise approximation for planar curves

Research output: Contribution to journalArticlepeer-review


A cubic piecewise approximation method is described for planar curves. The order of classical piecewise approximations is improved. The method exploits the freedom in the choice of the parametrization and raises the approximation order to 6. The cubic approximant and the curve have contact of second order. The examples show the simplicity of the construction and the Figures show the efficiency and the qualitative results of this approximation method.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalArab Gulf Journal of Scientific Research
Issue number1
Publication statusPublished - Apr 1997
Externally publishedYes


  • Better order
  • Computer aided design
  • Geometric smoothness
  • High accuracy
  • Piecewise approximation
  • Planar curves
  • Splines

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Agronomy and Crop Science
  • Water Science and Technology


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