摘要
为便于对均匀B样条曲线进行形状修改,利用二次均匀B样条基函数所需满足的条件,扩展二次均匀B样条基函数,构造出三次多项式调配函数.基于给出的调配函数,建立1种带形状参数的分段多项式曲线.调整形状参数可使三次多项式曲线在二次均匀B样条曲线两侧摆动.最后给出实例,构造出带局部调节参数G1的连续曲线.该方法可以通过调整参数扩大二次均匀B样条曲线的调整范围.
To facilitate the shape modification of uniform quadratic B-spline curve, the cubic polynomial blending functions are constructed using the requirements of uniform quadratic B-spline basis. It is an ex- tension for the uniform quadratic B-spline basis functions, Based on the blending functions, the piecewise polynomial curves with shape parameters is built, By changing the values of the shape parameters, the shape of cubic polynomial curves can be adjusted and swing at the two sides of the uniform quadratic B- spline curve. The instance of the continuous curve with local adjusting parameter G~ is given. The method can enlarge the adjusting scale of uniform quadratic B-spline curve by adjusting the related parameters.
出处
《计算机辅助工程》
2008年第2期54-56,60,共4页
Computer Aided Engineering
基金
上海高校选拔培养优秀青年教师科研专项基金(032001)
关键词
B样条曲线
B样条基
调配函数
形状参数
B-spline curve
B-spline basis
blending function
shape parameter
