关于二元样条空间下的三角剖分的分解

本文指出，在一定条件下，对于一个二元样条空间，所考虑的三种剖分中的某些胞腔和网线可以消去，而前后两个三角剖分下样条空间的结构有着紧密的联系，从而可以用简单划分下的空间结构表示复杂剖分下的空间结构。该分解剖分的步骤可以递推的进行，尤其对Ｓ＾１ｓ。据此，本文还分析了剖分对Ｓ＾１２的奇异性并给出一组奇异的剖分。

On Dissecting Triangulations Under Bivariate Spline Spaces

Under some conditions, for a bivariate spline space,some celles or edges can be deleted from the triangulation concerned and there are closed relations between the structures of spline spaces over the initial triangulation and the new one. The dissecting method developed here is of certain recursive value,esp. for S21. We also analyse the singularities of triangulations wrt S21 with this method and yield a group of singular structures.