Generalized geometric cubic splines

Muhammad Sarfraz*

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

Abstract

A constructive approach has been adopted to build interpolatory and freeform cubic spline curves with a more general continuity than β-continuity. This method provides not only a large variety of very interesting shape controls like biased, point and interval tensions but, as a special case, also recovers a number of spline methods like ν-spline of Nielson [9], β-splines [1], γ-splines of Boehm [3] and weighted ν-splines [6]. A discussion, for the conversion of complex continuity constraints into simple ones, has also been made for the practical implementation point of view.

Original languageEnglish
Pages220-229
Number of pages10
StatePublished - 1996

ASJC Scopus subject areas

  • Software
  • Computer Graphics and Computer-Aided Design

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