摘要
针对工业测量中经常遇到的椭圆拟合问题,本文介绍了二次曲线标准化法和特征根法两种椭圆拟合算法,并对这两种算法的拟合原理和计算过程做了详细阐述。采用实测算例进行椭圆拟合,结合拟合结果对两种方法进行了比较分析。同时将两种方法相结合进行椭圆参数拟合求解,并将拟合结果与全站仪测量值相比较,比较结果证明了本文研究的椭圆拟合算法的准确性和有效性,可以广泛应用于工业测量的椭圆拟合计算中。
In order to solve the elliptic fitting problem often encountered in industrial measurement,this paper introduces two elliptic fitting methods,the quadratic curve normalization method and eigenvalue method,with fitting principles and detail calculation processes. The ellipse fitting is carried out by using the actual example,and the two methods are compared and analyzed with the fitting results. At the same time,the two methods are combined to solve the elliptical parameters which are compared with the total station measurements. The comparison results show that both elliptic fitting algorithms are accurate and effective,which can be widely used in industrial measurement of the ellipse fitting.
出处
《工程勘察》
2018年第3期71-74,共4页
Geotechnical Investigation & Surveying
关键词
椭圆拟合
二次曲线标准化法
特征根法
ellipse fitting
quadratic curve normalization method
eigenvalue method
