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《Journal of Engineering Graphics》 2005-01
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Constructing Blending Surface for Two Arbitrary Surfaces

CHENG Jin-san, GAO Xiao-shan (Key Lab of Mathematics Mechanization, Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China)  
In this paper, we present a method, which can be used to solve the blending problem of two arbitrary surfaces as long as they have regular blending boundaries. The blending surface is defined as a collection of space curves which are defined by point pairs on the blending boundaries and the corresponding information of the given surfaces on the blending boundaries. The blending surface has a parametric form and its shape is easy to be controlled by adjusting the parameters left for the user. As examples of our method, we show how to construct blending surfaces between two quadratic surfaces with boundaries to be the intersection of this surface and a plane or another quadratic surface. Based on this method, a dynamic software package is implemented.
【CateGory Index】: TP391.7
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