ON THE LINEAR INDEPENDENCE AND PARTITION OF UNITY OF ARBITRARY DEGREE ANALYSIS-SUITABLE T-SPLINES

• 作 者: JINGJING ZHANG XIN LI
• 出 处: 第六届全国计算机数学学术会议
• 发表日期: 2014年10期
• 关键词: T-splines analysis-suitable T-splines linear independence partition of unity iso

　　Analysis-suitable T-splines are a topological restricted subset of T-splines,which are opti-mized to meet the needs for design and analysis.The paper independently derives a class of bi-degree(d1; d2)T-splines for which no perpendicular T-junction extensions intersect,and provides a new proof for the linearly independence of the blending functions.We also prove that the sum of the basis functions is one for an AS T-spline if the T-mesh is admissible based on a recursive relation.