测绘学报

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准则带参数的平差准则及其统一与解算

朱建军1,田玉淼2,陶肖静2   

  1. 1. 中南大学地球科学与信息物理学院
    2. 中南大学
  • 收稿日期:2010-05-31 修回日期:2011-07-11 出版日期:2012-02-25 发布日期:2012-02-25
  • 通讯作者: 朱建军

A Study on Adjustment Theory and Methods with Criterion Containing Parameters

  • Received:2010-05-31 Revised:2011-07-11 Online:2012-02-25 Published:2012-02-25
  • Contact: Jianjun Zhu

摘要: 摘要: 准则带参数的平差模型主要包括半参数模型,正则化模型,Vondrak滤波模型等,他们可以看作是对最小二乘模型的补充和发展。这些模型的核心问题是确定准则参数并进行解算,如何解决这个问题,目前没有统一的理论。本文利用虚拟观测,提出了一种广泛适用的解算方法。每种带参数的准则模型都可以通过这种方法来确定准则参数和解算结果。最后用正则化方法举例,对比最小二乘和其他解法表明这种方法的可行性和优点。

Abstract: Abstract: The adjustment models with criterion containing parameters include the semi-parametric model, the regularization model and the Vondrak filtering model, etc, which can be considered as supplements and extends of the Least Squares (LS) model. The key problem of these models is how to choose the parameters in the criterion. Many methods have been suggested by now, but united theory still not be formed. In this paper, a new method with virtual observations is proposed to solve all the models here, which can be used to choose the proper parameters of all the models and get the solutions of them. To compare with the LS model and other models, an example is presented to illustrate the feasibility and advantages of this method.