| 基于数学模型的水准测量误差计算 |
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| 引用本文： | 任建福.基于数学模型的水准测量误差计算[J].测绘与空间地理信息,2012(6):193-195. |
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| 作者姓名： | 任建福 |
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| 作者单位： | 广西第一测绘院 |
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| 摘 要： | 水准测量是工程测量中的重要内容。水准测量的精度受到多种因素的影响,包括系统误差和偶然误差。长期以来,都是通过水准网和闭合差的方法来计算或降低水准测量误差,其中使用最小二乘法减小误差的计算精度最高,但是计算方法烦琐,且需要以较大工作量和更加密集的水准网测量来实现。本文在介绍水准测量误差计算和降低的最小二乘法基本思想,并介绍了采用数学模型的来计算水准误差的方法和相关数学模型,对于水准测量误差计算特别是精密水准测量中误差计算,提高测量精度,有着可借鉴的价值。
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| 关 键 词： | 水准测量 误差 数学模型 |
The Calculation of Leveling Errors Based on Mathematical Model |
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| REN Jian-fu.The Calculation of Leveling Errors Based on Mathematical Model[J].Geomatics & Spatial Information Technology,2012(6):193-195. |
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| Authors: | REN Jian-fu |
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| Institution: | REN Jian-fu (The First Academy of Surveying and Mapping of Guangxi,Nanning 530023,China) |
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| Abstract: | Leveling is an important part of engineering survey.The accuracy of leveling depends on factors such as systematic errors and accidental errors.For a long time,we always calculate or eliminate leveling errors through leveling network and closure error,of which the most accurate one is the least square method which is complicated in computing method and labor-intensive and needs the support of denser leveling network.This paper introduces the principle of least square method of leveling errors calculation and reduction,the method of calculating leveling errors using mathematical model and the related model,and provides useful reference to the calculation of leveling errors especially high accuracy leveling errors and improves leveling precision. |
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| Keywords: | leveling errors mathematical model |
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