摘要
利用三次非均匀有理B样条,给出了一种构造局部插值曲线的方法,生成的插值曲线是C2连续的.曲线表示式中带有一个局部形状参数,随着一个局部形状参数值的增大,所给曲线将局部地接近插值点构成的控制多边形.基于三次非均匀有理B样条函数的局部单调性和一种保单调性的准则,给出了所给插值曲线的保单调性的条件.
A local interpolation method is presented by using the cubic non- uniform rational B-spline curves. The generated interpolation curves can be C2 continuous and have a local shape parameter. As the increase o the value of a shape parameter,the curves approach locally the control polygon constructed by the interpolation points. Based upon the local monotonicity of the cubic non-uniform rational B-spline curves and a criterion of mono- tonicity preserving, the condition for the monotonicity preserving of the given interpolation curves is given.
出处
《数学理论与应用》
2007年第1期110-112,共3页
Mathematical Theory and Applications
关键词
有理B样条
插值曲线
形状参数
保单调性
Rational B-splines Interpolation curves Shape parameter Monotonicity
