英语翻译测角网数据处理中,其函数模型为非线性模型,对于这种非线性模型的平差问题,经典间接平差法总是将非线性函数在参数的近

湛_泸2022-10-04 11:39:541条回答

英语翻译
测角网数据处理中,其函数模型为非线性模型,对于这种非线性模型的平差问题,经典间接平差法总是将非线性函数在参数的近似值处按照泰勒级数展开至一次项,忽略高次项,用所得的线性模型来近似代替非线性模型,之后用线性最小二乘法求得参数的估值.显然.这种线性化的近似方法要求参数的近似值与其真值偏离较小,否则,其平差结果则难以满足较高的精度要求.但随着当今测绘科学与技术的发展,特别是3S技术的广泛运用,只停留在线性化程度的间接平差方法,难以满足科技发展对其相应参数精度的要求,为此,许多学者进行了大量卓有成效的工作,并取得了很多解算方法.而非线性最小二乘法是非线性测量数据处理的最基本的方法.

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The Angle nets data processing, its function model for nonlinear model, for this kind of nonlinear model of the adjustment with problems, the classic indirect adjustment with nonlinear function method will always be in place of approximate parameter according to Taylor polynomial series to an item, ignore a high times, and using the linear model to approximate instead of nonlinear model with linear least square method after obtained the valuations of parameters. Obviously. The linear approximation method of the parameters with approximate requirements the true value deviation smaller, otherwise, the adjustment with the result, to meet the higher accuracy. But with the surveying and mapping the development of science and technology, especially of the 3 S technique is widely used, only stay in linear degree of indirect adjustment methods, to meet the development of science and technology to the corresponding parameter precision requirements, for this reason, many scholars had a lot of a fruitful work, and achieved many the solution method. And nonlinear least squares method of data processing is nonlinear measure the most basic methods.
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