二次和回转机构研究中有理曲线的因式分解
Factorization of Rational Curves in the Study Quadric and Revolute Linkages
Johann Radon Institute for Computational and Applied Mathematics Austrian Academy of Sciences (RICAM)（奥地利科学院约翰·拉东计算与应用数学研究所（RICAM））；University Innsbruck（因斯布鲁克大学）
摘要：
给定欧氏位移组中的一般有理曲线$C$，我们构造一个连杆机构，使得其中一个连杆的受约束运动正好是$C$。我们的构造是基于对偶四元数上多项式的因式分解。低度数的例子包括Bennett机构，并包含新型的过约束6 R链作为子机构。
英文摘要：
Given a generic rational curve $C$ in the group of Euclidean displacements we construct a linkage such that the constrained motion of one of the links is exactly $C$. Our construction is based on the factorization of polynomials over dual quaternions. Low degree examples include the Bennett mechanisms and contain new types of overconstrained 6R-chains as sub-mechanisms.
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。
