THE BLOSSOM APPROACH TO THE DIMENSION OF THE BIVARIATE SPLINE SPACE

• 来源期刊: 计算数学（英文版）
• 关键词: Bivariate spline space Blossom Dimension.
• 年，卷（期）: 2000,（2）
• 页码范围: 183-198
• 页数: 16页
• 语种: 英文

摘要

The dimension of the bivariate spline space S r n(Δ) may depend on geometric properties of triangulation Δ, in particular if n is not much bigger than r. In the paper, the blossom approach to the dimension count is outlined. It leads to the symbolic algorithm that gives the answer if a triangulation is singular or not. The approach is demonstrated on the case of Morgan-Scott partition and twice differentiable splines.