样条函数的多结点技术

Many-Knot Technique of Spline Function

对多结点样条函数作了进一步的研究 ,构造了带参数的多结点样条基本函数 ,其保持了普通多结点样条函数的优越性 .参数引进 ,使结点增多 ,使其可表达更加复杂的波动数据 .由于基数型的插值公式形成一族 ,因此 。

Further study on many knot spline system is conducted, and a new class of many knot spline function with a parameter is constructed, which preserves the advantages of the original many knot spline functions. The introduction of a parameter increases the number of knots, enabling it to express the more complicated fluctuation data. Owing to the fact that the cardinal type interpolation formulas can form a class , one can choose the best parameters to meet the needs of practical problems.