陶本藻. 自由网平差的几个理论问题[J]. 武汉大学学报 ( 信息科学版), 1983, 8(1): 28-36.
引用本文: 陶本藻. 自由网平差的几个理论问题[J]. 武汉大学学报 ( 信息科学版), 1983, 8(1): 28-36.
Tao Benzao. Some Theoretical Problems in the Adjustment of Free Networks[J]. Geomatics and Information Science of Wuhan University, 1983, 8(1): 28-36.
Citation: Tao Benzao. Some Theoretical Problems in the Adjustment of Free Networks[J]. Geomatics and Information Science of Wuhan University, 1983, 8(1): 28-36.

自由网平差的几个理论问题

Some Theoretical Problems in the Adjustment of Free Networks

  • 摘要: 本文运用广义逆理论,分析了自由网平差的各种方法,指出它们之间的差异仅在于取了不同的最小范数逆。论述了自由网平差残差的性质和参考系。本文证明了自由网平差与经典自由网平差可以得到相同的残差,并与附加的最小范数条件无关。还证明了最小范数条件决定了网的定位参考系。藉助于这些参考系,这两类平差的坐标可以互相变换。

     

    Abstract: In this paper various approaches to the adjustment of free networks on the basis of the theory of generalized inverse are analyzed.It has been pointed out that the difference between them lies in the adoption of different least norm inverses.The nature of the residuals of free networks,and of the reference systems is also dealt with.It has been proved that the residuals thus obtained are the same as those obtained by the classical adjustment of free networks and are independent of the additional least norm condition.It was shown that the least norm condition determines the orientation of reference system of the network.The coordinates from these two types of adjustment can be converted with each other by means of these reference systems.

     

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