摘要: 研究了调节凸 B¨|zie 曲面、B-样条曲面及 NURBS 曲面(BBN 曲面)一个控制点以后,曲面形状变化的规

律.通过将 BBN 曲面分解成一张凸曲面与具有特殊形状曲面的叠加,建立了曲面变形前后一些几何量与变形位

移量之间的数量关系,得到了凸BBN曲面失去凸性的充分条件和判据.相应的结果可应用于调节与控制BBN曲

面形状的算法设计. -Abstract: The regulation convex B ¨ | zie surface, B-spline surfaces and NURBS surfaces (BBN surface) a control point, the variation of surface shape by the BBN decomposed into a convex curved surface and has a special shape of the surface superimposed, before and after the establishment of surface deformation geometry and deformation of some quantitative relationship between displacement, has been lost convex surface BBN sufficient condition for convexity and criteria, and the corresponding results can be applied to adjust the surface shape and control algorithm design BBN .