Conference / Journal:

The Visual Computer, Vol. 11




The radius blend is a commonly used surface blending that is popular because of its geometric simplicity. Radius blends can be conceptualized as the envelope of a rolling sphere or sweeping circle, with constant or variable radius, that centers on a spine curve and touches the surfaces to be blended along the linkage curves. For a given pair of base surfaces in parametric form and a reference curve along with a radius function of the rolling sphere, in this paper we present an exact representation for the variable-radius spine curve and propose a marching procedure that ensures the correct point correspondence while tracing the spine and linkage curves simultaneously in 3D-space. Methods are also described that use the derived spine curve and linkage curves to compute a parametric form of the variable-radius spherical and circular blends.


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