Box splines provide smooth spline spaces as shifts of a single generating function on a lattice and so generalize tensor-product splines. Their elegant theory is laid out in classical papers and a summarizing book. This compendium aims to succinctly but exhaustively survey symmetric low-degree box splines with special focus on two and three variables. Tables contrast the lattices, supports, analytic and reconstruction properties, and list available implementations and code.

翻译：框样条提供了作为单个生成函数在网格上移动的平滑样条空间，因此推广了张量积样条。它们的优雅理论在经典论文和概括性书籍中被阐述。这本合集旨在简洁但全面地调查对称低度框样条，特别关注二维和三维。表格对比网格、支撑范围、解析和重构性质，并列出可用的实现和代码。