| 摘要: |
| 本文给出了旋转曲面CAD的一种有理B样条新方法。只要轮廓曲线用非均匀有理二次B样条曲线来表示,就可相当方便地把旋转曲面表示成非均匀有理双二次B样条曲面。这样做,能把圆柱面、圆锥面、圆环面、球面乃至一 般旋转曲面的程序软件和自由曲面的程序软件都用有理B样条的格式统一处理,对CAD工作是有益的。文中附有旋转曲面和球面的生成实例。 |
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| 基金项目:国家自然科学基金资助课题 |
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| A NEW METHOD FOR REPRESENTING THE SURFACE OF REVOLUTION USING RATIONAL B-SPLINES IN CAD |
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Wang Guojin
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| Abstract: |
| In this paper, a new method for representing the surface of revolution using rational B-splines in CAD is described. If the profile curve has been denoted by a nonuniform rational quadratic B-spline curve, it is very convenient to represent the surface of revolution as a nonuniform rational biquadratic B-spline surface. Thus we can treat circular cylindric surface, circular conic surface, torus, sphere, surface of revolution and free surfaces by one computer procedure. It is useful in CAD. Finally, we give some examples for representing surface of revolution and sphere as rational B-spline patches. |
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