经典平差模型解算方法统一性研究

Research on the Calculating Uniformity for Classical Survey Adjustment Model

针对5种经典平差模型公式繁多、易于混淆的问题,本文通过设置参数的系数矩阵、等式转换、参数向量的分组消元等方法分别实现了附有参数的条件平差与其余平差模型之间的转换。同时,在等式转换过程中打破了附有参数的条件平差与间接平差模型之间参数选择的约束,完成了二者的转换,为实现附有参数的条件平差对附有限制条件的间接平差的统一奠定了基础。最后通过实例验证了上述方法的正确性。

The formulas of five classical survey adjustment models were various and easy to confuse.The transformation between them was realized respectively by setting the coefficient matrix of parameters,transforming the equations,grouping and eliminating the parameter vectors.Meanwhile,it broke the constraint on selecting parameters between condition adjustment with parameter and indirect adjustment during the process of transformation equation,and completed the transformation of them,which laid a foundation for achieving the unity of condition adjustment with parameter and indirect adjustment with constraint condition.Finally,the validity of the above methods was proved by an example.