Abstract
Abstract
When the important components of the particle accelerator
are installed, it is required to locate the instrument in the global
coordinate system by measuring the control points of the surrounding
tunnels, which involves the datumn transformation between the global
coordinate system and the station coordinate system, and the
selection of the transformation model has gradually become a
potential breakthrough in solving the problem. Four different models
euler angle, Rodrigues matrix, dual quaternion and twelve parameters
are used to analyze and compare the solution parameters, accuracy
index, iteration efficiency, and the number of selected common
points of the four models with the measured data of 2022 Hefei Light
Source summer. The results show that the deviation of the four model
parameters from the SpatialAnalyzer commercial software is no more
than 3 μm for the translation parameters, and no more than
0.6” for the rotation angle. Among them, the twelve-parameters
and dual quaternion two models are theoretically rigorous, with high
and stable accuracy indexes, and the twelve parameters posteriori
unit weight mean error shows obvious advantages. The twelve
parameters and Rodrigues models have fewer iterations and higher
efficiency. In summary, the dual quaternion model and twelve
parameters method are preferred in the absence of better initial
values. In addition, in the process of datumn transformation, along
with the increase of the number of common points, the accuracies of
all four model solutions show an increasing trend of first fast and
then slow.