多元样条函数 meaning in English

multivariate splines

The interpolation of scattered data by multivariate splines is an important topic in computational geometry
利用多元样条函数进行散乱数据插值是计算几何中一个非常重要的课题。
Essentially , a key problem on the interpolation by multivariate splines is to study the piecewise algebraic curve and the piecewise algebraic variety for n - dimensional space rn ( n > 2 )
本质上，解决多元样条函数空间的插值结点的适定性问题关键在于研究分片代数曲线，在高维空间里就是研究分片代数簇。
The piecewise algebraic curve and the piecewise algebraic variety , as the set of zeros of a bivariate spline function and the set of all common zeros of multivariate splines respectively , are new and important concepts in algebraic geometry and computational geometry . it is obvious that the piecewise algebraic curve ( variety ) is a kind of generalization of the classical algebraic curve ( variety respectively )
分片代数曲线作为二元样条函数的零点集合，分片代数簇作为一些多元样条函数的公共零点集合，它们是代数几何与计算几何中一种新的重要概念，显然也是经典代数曲线与代数簇的推广。