中文摘要：

在层次 T 网孔上的四乘幂的多项式花键空格的基础函数被构造。基础功能都是张肌产品 B 花键，它是线性地独立的， nonnegative 并且完全。为几何建模使基础功能更有效，我们也与联合起来的性质给出一个新基础分区。二个初步的应用程序被给证明新基础是有效的。

英文摘要：

Basis functions of biquadratic polynomial spline spaces over hierarchical T-meshes are constructed. The basis functions are all tensor-product B-splines, which are linearly independent, nonnegative and complete. To make basis functions more efficient for geometric modeling, we also give out a new basis with the property of unit partition. Two preliminary applications are given to demonstrate that the new basis is efficient.