NEW PROOF OF DIMENSION FORMULA OF SPLINE SPACES OVER T-MESHES VIA SMOOTHING COFACTORS

• 来源期刊: 计算数学（英文版）
• 关键词: Spline space T-mesh Smoothing cofactors.
• 年，卷（期）: 2006,（4）
• 页码范围: 501-514
• 页数: 14页
• 语种: 英文

摘要

A T-mesh is basically a rectangular grid that allows T-junctions. Recently, Deng etal introduced splines over T-meshes, which are generalizations of T-splines invented by Sederberg etal, and proposed a dimension formula based on the B-net method. In this paper,we derive an equivalent dimension formula in a different form with the smoothing cofactor method.