Total Least-Squares Estimation for 2D Affine Coordinate Transformation with Constraints on Physical Parameters
作者： Songlin Zhang , Kun Zhang , Pengcheng Liu
DOI: 10.1061/(ASCE)SU.1943-5428.0000180
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摘要: AbstractThe error-in-variable (EIV) model takes the error of all variables into account and has been widely applied to many practical problems arising in environmental study, geology, geographic information science (GIS), geodesy. Coordinate transformations are among most frequently encountered spatial data processing, EIV can be built based on two sets coordinates. In some applications, physical parameters—such as shift, rotation angle, scale factor—have constraints. Current implementations constrained (CEIV) do not consider constraints explicitly. The purpose this paper is convert mathematical forms use total least squares (CTLS) solve CEIV problem two-dimensional (2D) affine transformation. effectiveness method illustrated through a numerical example.
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