二次有理B样条曲线曲率单调条件

Curvature monotony condition Tor the quadratic rational B spline curves.

通过建立斜坐标系,简化计算过程,推导出了二次有理B样条曲线曲率的单调条件.并与二次有理B(?)zier曲线的曲率单调条件相比较,结果表明:二次有理B样条曲线曲率单调的充要条件与二次有理B(?)zier曲线相类似,但其条件又有不同.

The curvature monotony condition for the quadratic rational B spline curve is derived by using the skew coordinate system that can reduces the calculation process. And the curvature monotony condition is compared to the quadratic rational Bezier curves'. The result shows that the sufficient and necessary condition of the quadratic rational B spline curve's curvature monotony is similar to the quadratic rational Bezier curves',but its condition is some what different from the quadratic rational Bezier curves'.