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根据条带拼接网的误差特点,构建了以ping为单位的条带网交叉点差值误差模型,导出了条带拼接网的秩亏网平差模型,并分析了秩亏的原因。根据条带拼接网ping的相交情况,推导了基于ping的阶段平差公式,给出了条带拼接网的系统误差改正模型。实例计算表明,条带拼接秩亏网平差模型可有效地探测ping、条带以及整个测区的系统参数。 相似文献
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本文从秩亏高斯—马尔柯夫模型出发,讨论了秩亏网平差中的几个理论问题,如参数估值的有偏和无偏,秩亏网平差与S—变换的关系,伪逆在秩亏网平差中的作用等问题。 相似文献
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引用能量力学理论,说明了最小势能原理与秩亏网平差中极小方差原则的一致性,并对具有普遍意义的加权秩亏网平差基准的实质作了物理解释,使这一平差方法的含意更为明确、直观。本文的结果不仅适用于普通秩亏网平差,也适用于加权与拟稳平差。从物理角度说明秩亏网平差基准的含意,可加深人们对平差结果性质的认识,因而更有利于工程技术人员选择合适的方法解决实际问题。 相似文献
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加权广义逆与秩亏网平差 总被引:1,自引:0,他引:1
本文叙述了加权广义逆矩阵的概念。由加权广义逆与线性方程组的解之间的关系,说明了三种秩亏网平差(普通秩亏网平差、拟稳平差、加权秩亏网平差)同属于加权秩亏网平差,只是它们各自选取了不同的权阵P_x,因此均可用加权广义逆来解释它。 相似文献
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秩亏网平差各种解向量间的变换 总被引:1,自引:0,他引:1
本文依据附加条件法进行秩亏网平差的原理,导出秩亏网平差各种解向量及其权逆阵间的变换通式,它适用于经典平差、秩亏自由网平差、拟稳平差三者间的相互交换,也适用于经典平差中固定数据不同的两个解向量间的变换,还适用于拟稳平差中拟稳点不同的两个解向量间的变换。 相似文献
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引用能量力学理论,说明了最小势能原理与秩亏网平差中极小方差原则的一致性,并对具有普遍意义的加权秩亏网平差基准的实质作了物理解释,使这一平差方法的含意更为明确、直观。本文的结果不仅适用于普通秩亏网平差,也适用于加权与拟稳平差。从物理角度说明秩亏网平差基准的含意,可加深人们对平差结果性质的认识,因而更有利于工程技术人员选择合适的方法解决实际问题。 相似文献
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In this paper,the structure of systematic and random errors in marine survey net are discussed in detail and the adjustment method for observations of marine survey net is studied,in which the rank-defect haracteristic is discovered first up to now.On the basis of the survey-line systematic error model,the formulae of the rank-defect adjustment model are deduced according to modern adjustment theory.An examle of calculations with really observed data is carried out to demonstrate the efficiency of this adjustment model.Moreover,it is proved that the semi-systematic error correction method used at present in marine gravimetry in China is a special case of the adjustment model presented in this paper. 相似文献
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In this paper, the structure of systematic and random errors in marine survey net are discussed in detail and the adjustment method for observations of marine survey net is studied, in which the rank-defect characteristic is discovered first up to now. On the basis of the survey-line systematic error model, the formulae of the rank-defect adjustment model are deduced according to modern adjustment theory. An example of calculations with really observed data is carried out to demonstrate the efficiency of this adjustment model. Moreover, it is proved that the semi-systematic error correction method used at present in marine gravimetry in China is a special case of the adjustment model presented in this paper. 相似文献
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海洋测线网系统误差确定的3种模型 总被引:5,自引:1,他引:5
为探测系统误差和数据调整的需要,文中将误差模型分为两种基本形式,在此基础上给出了确定测线系统误差的3种模型:模型A、模型B和极大调整模型。在这3种模型中,模型A、B确定参数的差异主要体现在模型B将系统整体性影响按照平差空间结构分配至测线系统误差,极大调整模型原理的理论基础是模型A基准权的特例。实例计算验证,模型A能够较好地探测系统误差,模型B则适合于数据调整。 相似文献
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许才军 《武汉大学学报(信息科学版)》1989,(3)
本文讨论了卫星网与地面网联合平差中随机模型误差及其对联合平差结果的影响,应用方差分量估计方法对卫星网和地面网的随机模型进行了估计,并对模拟网与实测网的计算结果进行了分析。 相似文献
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海洋磁力测量误差补偿技术研究 总被引:2,自引:1,他引:2
在分析海洋磁力测量主要误差来源的基础上,分阶段建立了能够反映海洋磁力测量误差变化规律的误差模型及相应的误差补偿模型,提出了误差补偿模型的解算方法,讨论了求解过程的稳定性和误差补偿效果的显著性检验等一系列应用中的具体问题,并使用一个实际观测网数据验证了各种补偿方法的有效性和可靠性。 相似文献
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文中在平面网平差中应用整体最小二乘理念.在最小二乘模型中,为了消除观测方程系数误差和未知参数系统误差,加入系数改正数和参数改正数,并提出三原则整体最小二乘模型.研究平差两大步骤,用最小二乘多次改用"参考点组"而选出w个稳定点;用最小二乘多次改用"近似坐标"而消除系数误差和参数系统误差.三原则整体最小二乘适用于平面自由网... 相似文献
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《测量评论》2013,45(78):353-366
AbstractIT has been assumed in the past that because angles for triangulation are usually observed by the direction method, therefore it must be more correct theoretically to perform the least-square adjustments by directions rather than by angles. It is fairly obvious that an adjustment of the same figure by directions will not give the same result as an adjustment by angles: the unknowns in each case are different and the number of directions is usually about 25 per cent. greater than the number of angles for the same figure. Strictly, the least square method is only applicable to observations from which all systematic errors have been eliminated, and in which the remaining errors are truly accidental. It is generally safe to assume that most survey errOlS consist of a random and a systematic part. Rarely, if ever, is it possible to state that all systematic error has been eliminated, strive how we may to take all precautions against it. 相似文献