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Performing 3D Similarity Transformation Using the Weighted Total Least-Squares Method
2014The 3D similarity transformation models, e.g. Bursa model is usually applied in geodesy and photogrammetry. In general, they are suitable in small angle 3D transformation. However, a lot of large 3D transformations need to be performed. This contribution describes a 3D similarity transformation model suitable for any angle rotation, where the nine ...
J. Lu, Y. Chen, X. Fang, B. Zheng
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Weighted Total Least Squares, Rank Deficiency and Linear Matrix Structures
2002In this contribution we explain how the rank deficiency of a given data matrix, its linear matrix structure and its interpretation in terms of discrete-time dynamical systems, are intimately connected. This relation permits to formulate least squares dynamical system identification problems, the solution of which leads to structured total least squares.
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Low frequency load identification under high noise level using weighted total least squares
MeasurementDakuan Xin +3 more
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Homotopy nonlinear weighted total least squares adjustment
Acta Geodaetica et GeophysicaChongyang Zhang +3 more
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