【摘要】 三次准均匀B样条曲线广泛应用于计算机辅助几何设计(CAGD),它保持了B埁zier曲线的端点性质,但比B埁zier曲线在形状设计方面更加灵活。运用加权约束优化的方法,修改三次准均匀B样条曲线的控制顶点,采用最小二乘法,修改曲线上给定点的位置,该方法可实现多种形状修改和变形效果,便于交互设计,并给出相应的实例说明算法的有效性。更多还原

【Abstract】 Third-uniform B-spline curves widely is used in computer-aided geometric design(CAGD).It maintained a Bèzier curve characteristics of the endpoint more flexible than the Bèzier curves in the shape of the design.The way that is optimized by weighted restriction is modified control points of cubic uniform B-spline curve.The designated location of curve is modified with least squares.The way can be used to achieve a variety of shapes and deformation effects for interactive design,and given the example of the algorithmic effectiveness.更多还原