| 基于线性模型的二维直角坐标变换 |
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| 引用本文： | 李建章,武生荣.基于线性模型的二维直角坐标变换[J].测绘科学,2011,36(6):56-57. |
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| 作者姓名： | 李建章 武生荣 |
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| 作者单位： | 1. 兰州交通大学土木工程学院,兰州,730070
2. 甘肃中医学院,兰州,730000 |
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| 摘 要： | 二维直角坐标变换模型在工程领域中应用非常广泛,该模型是一个非线性模型,对于多公共点的二维直角坐标变换需要进行模型的线性化,计算待求参数的近似值,再利用间接平差原理计算各待求参数最或然值。本文在非线性模型基础上推导出一个线性模型,利用该模型进行二维直角坐标变换,无需计算待求参数近似值,对于涉及到二维直角坐标变换的问题,可以简化其解算过程。
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| 关 键 词： | 二维直角坐标变换 线性模型 测量平差 |
Right-angle coordinate system conversion based on linear model in planar space |
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| LI Jian-zhang,WU Sheng-rong.Right-angle coordinate system conversion based on linear model in planar space[J].Science of Surveying and Mapping,2011,36(6):56-57. |
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| Authors: | LI Jian-zhang WU Sheng-rong |
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| Institution: | ②(①School of Civil Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;②Gansu College of Traditional Chinese Medicine,Lanzhou 730000,China) |
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| Abstract: | Right-angle coordinate system conversion in planar space,a nonlinear model,is popular in engineering.For the problem having many common control points the model need to be linear and the proximate value of parameters need to be earned and then the most probable parameter is got by the theory of least-squares adjustment.On the base of nonlinear model this article provided a linear model that could simplify the calculation process of the problem involving right-angle coordinate system conversion in planar space. |
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| Keywords: | right-angle coordinate system conversion in planar space linear model least-squares adjustment |
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