四维超曲面可视化及其在多元样条中的应用

Visualization of four dimensional hypersurfaces and its application in multivariate spline

提出了一种用四维正等轴测投影实现四维超曲面可视化的新方法．该方法与以往的等值面方法相比，更容易显示函数的几何形状和光滑度．通过对四维空间中多元样条超曲面的应用结果。

This paper presents a new method for implementing visualization of four dimensional hypersurfaces by using the four dimensional orthographic and axonometric projection. This method more easily shows the geometry shape and the smoothness of functions than contour plots. The result of verifying the multivariate spline hypersurface in the four dimensional space shows our method is practicable and effective.