阿基米德螺线的拟Bernstein基表示

Representation of Archimedes helix with Bernstein-like basis

讨论了5阶拟Bernstein基表示阿基米德螺线的充要条件,利用这个充要条件可以得到用5阶拟Bernstein基表示的阿基米德螺线的控制顶点,从而可以方便地表示阿基米德螺线,并且有明显的几何意义.利用阿基米德螺线段和圆弧来构造凸轮,实现了凸轮的多边形控制.

The necessary and sufficient condition to represent the Archimedes helix with Bernstein-like basis of order five was discussed. Under this condition, the control points of the Bezier-represented Archimedes helix can be obtained. They can express the Archimedes helix expediently. In addition, with the Archimedes helix and circular arc, a cam was constructed, so the control of the cam with a polygon comes true.