Reduced-knot nurbs representations of rational G1 composite Bézier curves

Barry Joe, Wenping Wang, Fuhua Cheng

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


It is well known that a rational G1 composite Bézier curve of degree n can be represented as a nurbs curve with knots of multiplicity n. An algorithm is presented that reduces the degree of multiplicity of some knots to n-1. This reduced-knot nurbs representation is based on the reparameterization of the Bézier curve segments.

Original languageEnglish
Pages (from-to)393-399
Number of pages7
JournalCAD Computer Aided Design
Issue number5
StatePublished - May 1994

Bibliographical note

Funding Information:
The research of B Joe was partially supported by a grant from the Natural Sciences and Engmeenng Research Council of Canada The research ofF Cheng was partially supported by IBM


  • knot reduction
  • nurbs
  • rational Bézier curves
  • reparameterization

ASJC Scopus subject areas

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering


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