alpha Extension of the Cubic Ball Curve

作者：Wang Chengwei^*

来源：3rd International Conference on Computing, Control and Industrial Engineering (CCIE 2012), 2012-10-27 to 2012-10-28.

DOI：10.4028/www.scientific.net/AMM.235.85

• Ball curve
• curve design
• shape parameter

Ball curve is found similar to Bezier curve, also it has a good property of shape preserving, and in some respects, it has better properties than the Bezier curve. Therefore, In the shape design, Ball curve is paid more and more attention, it has a wide application. By introducing the concept of weights in NURBS curve into a blending technique, the paper extends the representation of the cubic Ball curve. The generalized cubic Ball curve is denoted as alpha extension cubic Ball curve, whose shape-control capability is shown to be much better than that of Ball curve. The representation and properties of the extension curve are studied. The curve is easy and intuitive to reshape by varying the parameters; so it is useful in some applications of CAD/CAM.

• 单位
  北京服装学院