东北数学（英文版）
東北數學（英文版）
동북수학（영문판）
NORTHEASTERN MATHEMATICAL JOURNAL
2008年
3期
219-232
,共14页
cubic spline%lagrange interpolation set%dimension%triangulation
In this paper, we consider spaces of cubic C1-spline on a class of trian-gulations. By using the inductive algorithm, the posed Lagrange interpolation sets are constructed for cubic spline space. It is shown that the class of triangulations considered in this paper are nonsingular for S13 spaces. Moreover, the dimensions of those spaces exactly equal to L. L. Schumaker's low bounds of the dimensions. At the end of this paper, we present an approach to construct triangulations from any scattered planar points, which ensures that the obtained triangulations for S13 space are nonsingular.
