natural spline meaning in Chinese

自然样条

A series of convex sufficient conditions of cubic natural splines is presented in case of equal intervals . under some hypotheses , several convex necessary conditions of cubic natural splines are obtained
摘要提出了在等距情形下三次自然样条函数一系列凸性的充分条件。在某些假定之下，还得到了一些三次自然样条函数凸性的必要条件。
Therefore , it can be used as an efficient new model for geometric design in the fields of cad / cam . at last , the spatial definition of periodic spline and natural spline constructed by polynomial and hyperbolic functions is given ; the dimension law and zero properties are demonstrated ; and therefore the non - uniform algebraic - hyperbolic period and natural spline curves are obtained . the applications of the low order are given in details
三、给出代数双曲周期样条及自然样条空间定义,证明其维数定理和零点定理,构造具有最小紧支撑的非均匀代数双曲周期及自然样条函数,进而定义非均匀代数双曲周期及自然样条曲线,最后具体给出低阶的表示和应用