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螺旋面的拟合应用研究
引用本文:陈基伟.螺旋面的拟合应用研究[J].岩土工程技术,2009,23(2):87-89,94.
作者姓名:陈基伟
作者单位:上海市地质调查研究院,上海,200072
摘    要:提出了一种螺旋面的拟合算法。利用参数方程建立独立参数与直角坐标的代数关系,构建出误差方程组,再利用非线性方程的多维数值寻根方法求解出螺旋面的各项参数。用模拟数据进行了算法的验证,并给出了误差的评定方法。此法可拓展到对其它参数曲面的拟合。

关 键 词:螺旋面  最小二乘拟合  非线性方程  精度估算

Study on Fitting of Helicoid
Chen Jiwei.Study on Fitting of Helicoid[J].Geotechnical Engineering Technique,2009,23(2):87-89,94.
Authors:Chen Jiwei
Institution:Chen Jiwei (Shanghai Institute of Geological Survey, Shanghai 200072,China)
Abstract:A new method of helicoid fitting is put forward, that construct error equations using the algebra relation between parametric function and Cartesian system of coordinates. Each parameter of the helicod is extracted by numeric solution of the non-linear equation named multi-dimension numerical value root-seeking. The results of several computational experiments show this method is efficient and accurate. This method can be developed to other surface fitting.
Keywords:helicoid  least-squares fitting  non-linear equation  precision estimation
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