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

作　　者：熊建[1] 郭清伟[2] 朱功勤[2] 

机构地区：[1]安徽审计职业学院基础部,合肥230601 [2]合肥工业大学数学系,合肥230009

出　　处：《数值计算与计算机应用》2011年第3期165-173,共9页Journal on Numerical Methods and Computer Applications

摘　　要：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.

关 键 词：形状参数 整体或局部调控 C^3连续 C^4连续 

分 类 号：O186.11[理学—数学]