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.
基金
国家自然科学基金资助项目
关键词
C^3-连续
CAGD
样条曲线
B-样条曲线
插值曲线
C3-continuity,alternate B-type parametric spline curve of 4-5-5-4 degree,quartic B-spline curve.
