Variable-radius blending of parametric surfaces |
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Authors: | Jung-Hong Chuang Ching-Huei Lin Wei-Chung Hwang |
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Affiliation: | (1) Department of Computer Science and Information Engineering, National Chiao Tung University, Hsinchu, Taiwan, Republic of China, TW |
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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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Keywords: | : Geometric modeling Blending Variable-radius spherical and circular blend |
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