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 linearly independent T-splines.

中文翻译：

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多元分析-任意阶次合适的T样条

本文定义了任意阶数（包括偶数阶和混合阶数）和任意维度的适合分析的T样条。我们概括了二维环境中已知的锚元素的概念，扩展了现有的分析适用性概念，并证明了它们对于线性独立 T 样条的充分性。