A Mixed Additive and Multiplicative Error Solution for the Seven-Parameter Transformation Model
In the past,the calculation of seven-parameter was based on the additive nature of errors.This paper proposes a mixed additive and multiplicative error solution for the seven-parameter transformation model,which optimizes the calcula-tion steps based on the properties of the original mixed addi-tive and multiplicative error model and the correlation be-tween the seven parameters and adds the mixed additive and multiplicative error model into the seven-parameter calcula-tion due to the consideration of the multiplicative relationship between rotation parameters and scale parameters in the sev-en-parameter transformation model.The accuracy of the solu-tion is superior to traditional algorithms in multiple coordinate system coordinate conversion random sampling repeated ex-periments,which prove its effectiveness and stability.
coordinate transformationseven-parametermixed additive and multiplicative error
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