C^3-连续的4-5-5-4次交错B-型参数样条曲线  

C^3-CONTINUOUS ALTERNATE B-TYPE PARAMETIRIC SPLINE CURVE OF 4-5-5-4 DEGREE

作　　者：邬弘毅 

机构地区：[1]基础部

出　　处：《安徽工学院学报》1997年第2期1-7,共7页

基　　金：国家自然科学基金资助项目

摘　　要：提出一类C^3—连续的4—5—5—4次交错B—型参数样条曲线。它具有普通四次B—样条曲线的重要性质,但不是由五个,而是由四个顺序控制点就能生成一曲线段。当用这种曲线作插值时,所解的线性方程组更简单些,而且是严格对角占优的。This paper presents a class of C3-continuous alternate B-type parametric spline curve of 4-5-5-4 degree. It has many important properties of common quartic B-spline curve. However,each piece of the curve is generated by only four consecutive control points and when interpolating a set of given data points,the linear system of equations being solved is simpler and strictly diagonally dominant.

关 键 词：C^3-连续 CAGD 样条曲线 B-样条曲线 插值曲线 

分 类 号：O241.5[理学—计算数学]