共查询到19条相似文献,搜索用时 125 毫秒
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借助MathCAD软件的强大计算功能,简化学生的矩阵计算,提高学生学习测量平差课程的效率,以及帮助学生在学习过程中培养思考问题,发现问题,分析问题和解决问题的能力. 相似文献
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本文给出了平差概括模型以及其它平差函数模型之间的关系,并根据概括平差模型编制了测量平差软件,该软件能完成,间接平差,条件平差,附有参数的条件平差,附有限制条件的间接平差,通过算例,证明该具有一定的实用性。 相似文献
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条件平差、混合平差模型的抗差最小二乘解 总被引:1,自引:0,他引:1
条件平差、混合平差模型的抗差最小二乘解杨元喜条件平差模型、具有参数的条件平差模型和附有条件的参数平差模型与参数平差模型不同,它们均涉及条件极值问题。相应地,观测值受异常污染的抗差估计也涉及抗差条件极值问题。本讲座仍基于等价权原理介绍这三种模型的抗差最... 相似文献
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抗差估计在粗差探测及平差计算中的应用 总被引:2,自引:0,他引:2
常规的粗差深测技术,不仅辅助计算工作量大,而且将粗差探测与平差计算分两步进行。本文根据抗差估计原理,通过对观测值附加粗差的办法,制订不同的方案,分别进行抗差估计和LS估计。 相似文献
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马凌会 《测绘与空间地理信息》2009,32(3):205-207
提出了利用普通间接平差和相关间接平差两种平差方法相结合,进行以坐标差作为观测值进行导线网相关平差的方法.在该平差方法中,利用普通的简介平差原理推求出坐标差观测值的相关协因数阵,并以此作为已知数据进行以坐标差观测值作为观测值的导线网的相关平差. 相似文献
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以三维坐标转换为例解算稳健总体最小二乘方法 总被引:3,自引:2,他引:1
稳健最小二乘方法能够有效解决平差计算中观测值存在粗差的情况,因此广泛应用于各种实际问题中。在最小二乘方法中,系数矩阵被认为是不含有误差的。然而在实际情况中,系数矩阵中的变量往往也包含观测值,因此不可避免地会被误差污染。为同时考虑系数矩阵和观测向量中的误差,同时对粗差进行探测和定位,本文提出基于选权迭代的稳健总体最小二乘方法,并以三维相似坐标变换为例展示解算过程。通过模拟计算,证明了采用本文提出的稳健总体最小二乘方法,能够较好地达到粗差探测和定位的目的,获得稳健的参数解。 相似文献
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Rolf König 《Journal of Geodesy》1990,64(2):111-125
In the adjustment of inertial position surveys the additional parameters describing the systematic errors of individual traverses
can be considered as deterministic or stochastic. The paper deals with various aspects of the deterministic or stochastic
approach by way of a standard functional model. If purely deterministic parameters are set up, the solvability of the least
squares problem depends on redundant observations like coordinate discrepancies of forward and backward runs or coordinate
differences at cross-over points of traverse networks. Inequalities are presented to handle the configuration problem for
any net and for several ways of introducing parameter sets. Also condition equations being geometrically explainable are developed
solving the datum problem in free adjustment applications.
Based on the Ebersberger Forst campaigns with a large amount of Ferranti, Honeywell and Litton data, numerical investigations
into the stochastic properties of the additional parameters and the observations follow. It turns out that additional parameters
for Honeywell and Litton data can be considered as stochastic parameters while for Ferranti data significant azimuth and time
dependent effects can be found. The investigations of true errors show that in case of the deterministic adjustment approach
a diagonal covariance matrix can be introduced and in case of stochastic additional parameters a first order Gauss-Markov
process serves as a good approximation for the stochastic behaviour of the observations. 相似文献
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半参数回归与模型精化 总被引:31,自引:4,他引:31
就一般情况给出了半参数平差的算法,并结合一种特定的情况,讨论了正规化矩阵半正定时的计算方法,给出了相应的公式,最后构造了一个模拟的平差问题,对半参数法和最小二乘法的计算结果进行了比较,计算表明,半参数法能够发现并识别模型误差或观测值中的系统误差。 相似文献
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地图数字化的坐标转换及数据的精度与相关性 总被引:14,自引:2,他引:14
在分析地图数字化坐标数据的误差性质时,通常将经过坐标转换后的坐标值作为相互独立的数字化观测值,而将它们与相应的已知坐标之差值当作相互独立的随机误差进行分析,为了对数字化坐标数据及其误差进行更严贩分析,本文将来求转换参数的已知的地面坐标和数字化坐标都视为观测值,并用附有参数的条件平差法来求转换参数,再进一步对转换后的数字坐标的精度和基相关性进行讨论。 相似文献
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《International Journal of Digital Earth》2013,6(1):72-82
Abstract Digital elevation model (DEM) matching techniques have been extended to DEM deformation detection by substituting a robust estimator for the least squares estimator, in which terrain changes are treated as gross errors. However, all existing methods only emphasise their deformation detecting ability, and neglect another important aspect: only when the gross error can be detected and located, can this system be useful. This paper employs the gross error judgement matrix as a tool to make an in-depth analysis of this problem. The theoretical analyses and experimental results show that observations in the DEM matching algorithm in real applications have the ability to detect and locate gross errors. Therefore, treating the terrain changes as gross errors is theoretically feasible, allowing real DEM deformations to be detected by employing a surface matching technique. 相似文献