Matlab在离散点拟合椭圆及极值距离计算中的应用

Application of Matlab in Fitting Ellipse and Calculating Extremum Distance of Discrete Points to Ellipse

目前关于根据离散点建立椭圆的一般二次曲线方程,并由此推导椭圆的标准方程以及计算离散点距离椭圆极值方面的文献较少,文章重点介绍了利用Matlab软件进行公式推导的详细过程以及计算极值的方法。极值计算方法介绍了几何作图法、迭代计算法、穷举法、人工智能算法。实例验证表明了思路与算法的正确性和实用性,可以为解决其他二次曲线和二次曲面的问题提供借鉴。

According to the fact that there is no enough documents about establishing general quadratic curve equa-tion based on discrete points,deducing standard geometric symbolic equation,and calculating the extremum distance with the use of mathematical computer language（Matlab）.This article focuses on the detailed process of formula derivation and the method of calculating the extreme value with Matlab.The article presents the following methods：geometric draw-ing method,iterative method,exhaustive method,and AI algorithm.The practical example verifies the correctness and practicability of the method and the algorithm,which can be used for reference to solve the problems of other conic curves and quadric surfaces.