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用三次NURBS表示圆弧与整圆的算法研究

CUBIC NURBS REPRESENTATION OF ARC AND CIRCLE

  • 摘要: 提出了一种实用的三次NURBS曲线表示圆弧及整圆的方法,并得出了各种情况下现成可用的结果。该方法用4个控制顶点所决定的一段NURBS曲线来表示一段小于180°的圆弧段;对于大于180°的圆弧则采用两段三次NURBS曲线来表示,当圆心角为360°时,则得到了整圆的表示。文中所述的方法统一、简单、符合对圆弧NURBS表示的要求。

     

    Abstract: This paper presents a method for cubic NURBS representation of arc and circle,and puts forward ready-made results under different circumstances.In the method,an arc having central angle less than 180° is represented by a segment of NURBS curve determined by four control points,for an arc having central angle greater than 180°,two segments of NURBS curves are used for the representation.When the central angle equals to 360°,the circle representation can then be obtained.The method described in this paper is simple and consistent,and meets the demands of arc NURBS representation.

     

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