实用的Box样条手册
A Practical Box Spline Compendium
AI总结：
本手册综述了对称低阶Box样条，聚焦二元与三元变量，通过表格对比格、支撑集、解析与重构性质及可用实现代码。
摘要：
Box样条通过格上单一生成函数的平移提供平滑样条空间，从而推广了张量积样条。其优雅理论在经典论文与总结性著作中已有阐述。本手册旨在简明而详尽地综述对称低阶Box样条，特别聚焦于二元与三元变量。表格对比了格、支撑集、解析与重构性质，并列出了可用的实现与代码。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
