AI 中文总结
该论文针对平面有理四次曲线，基于重新定义的向量多项式给出μ基显式公式，还探讨了二次和三次曲线的相应情况，为相关研究提供了代数工具及具体公式。
AI 中文摘要
μ基是源于动曲线和动曲面理论的代数工具，在有理曲线和曲面研究中广泛应用。本文基于重新定义的向量多项式给出平面四次有理参数曲线μ基的显式公式并举例。同时还讨论了二次和三次曲线的相应情况。
英文摘要
The $μ$-basis is an algebraic tool originating from the theory of moving curves and moving surfaces, and it is widely used in the study of rational curves and surfaces. In this paper, we give the explicit formulas for the $μ$-basis of planar quartic rational parametric curves based on redefined vector polynomials, and several illustrative examples are provided. Meanwhile, we also discuss the corresponding cases for quadratic and cubic curves.
Comments10 pages
