一种基于超曲面样条函数的三维空间插值方法

A 3D Interpolation Method Based on Hypersurface Spline

将二维曲面样条函数插值法进一步引申,提出一种基于超曲面样条函数进行三维空间插值的新方法,介绍超曲面样条函数的构造方法,给出利用该方法进行三维空间插值的数值实现过程。最后以插值形成三维空间规则数据场为例,证明利用超曲面样条函数法进行三维空间插值的可行性和准确性。

Interpolation in 3D space is an important data process approach. This paper extends the surface spline method of 2D interpolation and brings out a new 3D interpolation method--hypersurface spline method. The method of constructing the hypersurface spline function and the numerical implement procedure of 313 interpolation by the means of hypersurface spline function is also presented in this paper. Finally, it gives an example that generating regular 313 spatial data.set based on the interpolation of hypersurface spline, it testifies the feasibility and veracity of this method.