## Abstract

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 language | English |
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Pages (from-to) | 513-525 |

Number of pages | 13 |

Journal | The Visual Computer |

Volume | 11 |

Issue number | 10 |

DOIs | |

State | Published - 1 Oct 1995 |

## Keywords

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