带形状参数的插值曲线  

Interpolation Curves with Shape Parameters

作　　者：邬弘毅[1] 杜炜[1] 

机构地区：[1]合肥工业大学理学院,合肥230009

出　　处：《计算机辅助设计与图形学学报》2006年第3期352-357,共6页Journal of Computer-Aided Design & Computer Graphics

摘　　要：针对αB样条插值曲线仅能整体调控其形状的局限性,通过适当地提高曲线次数并引入若干新的形状参数,构造出2种C2连续的插值曲线,这些曲线的形状既能整体又可局部调控;还给出一种能作整体调控的C3连续的插值曲线.Compared with α-B spline interpolation curve, two families of C^2 continuous interpolation curves are constructed by elevating appropriately and introducing some new shape parameters. Their shape can be controlled totally as well locally. Besides, C^3 continuous interpolation curve that can be controlled totally is also discussed.

关 键 词：α-B样条 形状参数 整体或局部调控 C^2连续 C^3连续 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术] TP391.41[自动化与计算机技术—计算机科学与技术]