可整体或局部调控的C^3,C^4连续的插值曲线

MAY BE WHOLE OR PARTIAL CONTROL OF THE C^3-AND C^4-CONTINUOUS INTERPOLATION CURVES

首先运用两种方法构造了带多形状参数的C^3连续的插值曲线.其次,利用方法二把构造出的带多形状参数的C^4连续的B样条曲线与参数化的奇异多边形按某个因子调配,可自动生成C^4连续的插值曲线.所有这些曲线的形状既能整体又可局部调控.

Firstly, two families of C^3-continuous interpolation curves are constructed. Secondly, using a blending factor, a parametrized singular polyline is blended with the constructed C^4- continuous B-spline curve with shape parameters to automatically generate C^4-continuous interpolation curves by the second means. Shape of those interpolation curves can be con- trolled totally as well locally.