de Boor-fix functionals and polar forms

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The relationship between the polar form perspective of spline curves [Ramshaw '87a, '87b, '89; de Casteljau '85, '86] and the dual functional viewpoint [de Boor & Fix '73, de Boor & Höllig '87] is explored. An explicit connection between these two formulations is derived, and this link is elaborated further through some examples of spline properties provable by both techniques. The relationship of these techniques to knot insertion is also briefly discussed.

Original languageEnglish (US)
Pages (from-to)425-430
Number of pages6
JournalComputer Aided Geometric Design
Issue number5
StatePublished - Aug 1990


  • B-spline
  • blossoming
  • de Boor-Fix dual functionals
  • knot insertion
  • polar form

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