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Variable-radius blending of parametric surfaces

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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.

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Authors and Affiliations

  1. Department of Computer Science and Information Engineering, National Chiao Tung University, Hsinchu, Taiwan, Republic of China

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

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  1. Jung-Hong Chuang
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  2. Ching-Huei Lin
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  3. Wei-Chung Hwang
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Chuang, JH., Lin, CH. & Hwang, WC. Variable-radius blending of parametric surfaces. The Visual Computer 11, 513–525 (1995). https://doi.org/10.1007/BF02434038

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  • DOI: https://doi.org/10.1007/BF02434038

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