Variable-radius blending of parametric surfaces

Jung-Hong Chuang*, Ching Huei Lin, Wei Chung Hwang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


The radius blend is a popular surface blending because of its geometric simplicity. A radius blend can be seen as the envelope of a rolling sphere or sweeping circle that centers on a spine curve and touches the surface to be blended along the linkage curves. For a given pair of base surfaces in parametric form, a reference curve, and a radius function of the rolling sphere, we present an exact representation for the variable-radius spine curve and propose a marching procedure. We describe methods that use the derived spine curve and linkage curves to compute a parametric form of the variable-radius sphearical and circular blends.

Original languageEnglish
Pages (from-to)513-525
Number of pages13
JournalThe Visual Computer
Issue number10
StatePublished - 1 Oct 1995


  • Blending
  • Geometric modeling
  • Variable-radius spherical and circular blend

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