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可展Bézier参数曲面

Developable Bézier Parametric Surfaces

  • 摘要: 给出Bézier参数曲面可展的特征.这里的Bézier参数曲面包括三角域上的B-B参数曲面和矩形域上的张量积Bézier参数曲面.特别地,给出了三角域上可展二次B-B参数曲面的具体形式及其构造方法,以及三角域上可展三次B-B参数曲面为切线面的一种特例.

     

    Abstract: The developable characterizations of Bézier surfaces are presented.Here Bézier surfaces include B-B parametric surfaces defined on triangular domain as well as on the rectangular domain.Especially,the general forms and construction method of second degree developable B-B parametric surfaces on triangular domain are given.A special case of three degree developable B-B parametric surfaces on triangular domain to form a tangent surface is also given.

     

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