2023
DOI: 10.1088/1361-6501/acdd89
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Robust solution of coordinate transformation parameters with a high breakdown point

Abstract: Because the M estimation method may lead to poor robustness or even failure owing to excessive outliers, a robust algorithm with a high breakdown point was proposed and applied to the estimation of coordinate transformation parameters. Firstly, the sampling method was used to calculate multiple sets of model parameters, and some sampling results were sifted according to posterior information. Then, the samples were sorted according to their number in the sampling results, and the F-test was adopted to screen a… Show more

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“…The ρ and φ in the M estimation are arbitrarily chosen functions, and by choosing different ρ and φ , there will be different equivalent weight functions, and there will be different M estimations with different robustness. The equivalent weight function selected in this paper is the IGG III weight function [31][32][33]:…”
Section: Selection Of the Weight Functionmentioning
confidence: 99%
“…The ρ and φ in the M estimation are arbitrarily chosen functions, and by choosing different ρ and φ , there will be different equivalent weight functions, and there will be different M estimations with different robustness. The equivalent weight function selected in this paper is the IGG III weight function [31][32][33]:…”
Section: Selection Of the Weight Functionmentioning
confidence: 99%