This paper defines analysis-suitable T-splines for arbitrary degree (including even and mixed degrees) and arbitrary dimension. We generalize the concept of anchor elements known from the two-dimensional setting, extend existing concepts of analysis-suitability and show their sufficiency for linear independence of the T-spline basis.

翻译：本文定义了任意度（包括偶次和混合度）及任意维度的适用分析T样条。我们推广了二维情形下已知的锚点元素概念，扩展了现有的适用分析性概念，并证明了其对T样条基函数线性无关性的充分性。