application of multivariate total least square in three-dimensional coordinate transformation
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Graphical Abstract
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Abstract
for avoiding loss of accurac y caused by the linearization of rotation matrix in three-dimen-sional coordinate transformation by the total least squaretlsmethodthe multivariate total leastsquaremtlsmodel is advanced.in order to evaluate the effect of mtls on coordinate transformation various experiment schemes set compared with the tls al gorithm.he impacts of rotation angleand scale factor on solution precision are anal yzedand conclusions based on the experimentresults asfollowingin the condition of coordinate transformation with a bi gger rotation angle or under independent equal precision observationthe solution precision of mtls is better than the one of tlses peciall y the mtls method does not need iterative calculation and can be used for coordinate transformation with any scale factor
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