MODIFIABLE QUARTIC AND QUINTIC CURVES WITH SHAPE-PARAMETERS  

作　　者：邬弘毅 朱功勤 

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》2001年第1期9-19,共11页

基　　金：National Natural Science Foundation of China

摘　　要：This paper presents a method for creating modificable quartic and quintic curves with shape parameters. The curves can achieve C 2 even C 3 continuity and unify both interpolation and approximation to the control points without solving a system of equations or inserting additional control points. They have the local properties like the cubic B spline. Besides, the quintic curve would be able globally to tend the control polygon.This paper presents a method for creating modificable quartic and quintic curves with shape parameters. The curves can achieve C 2 even C 3 continuity and unify both interpolation and approximation to the control points without solving a system of equations or inserting additional control points. They have the local properties like the cubic B spline. Besides, the quintic curve would be able globally to tend the control polygon.

关 键 词：modifiable quartic and quintic curves shape parameters C 2 or C 3 continuity interpolation and approximation. 

分 类 号：O241.5[理学—计算数学]