Nonlinear analysis of the three-dimensional datum transformation [conformal group \(\mathbb{C}_7(3)\)]

DOI10.1007/S00190-002-0299-9zbMath1054.86008OpenAlexW1985821004MaRDI QIDQ704993

Erik W. Grafarend, Joseph Awange

Publication date: 25 January 2005

Published in: Journal of Geodesy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00190-002-0299-9

zbMATH Keywords

Singular value decompositionOrthonomal matrixProcrustes algorithmSeven-parameter datum transformation

Mathematics Subject Classification ID

Geodesy, mapping problems (86A30)

Related Items (5)

Operator-theoretic and regularization approaches to ill-posed problems ⋮ Optimal computation of 3-D similarity: Gauss-Newton vs. Gauss-Helmert ⋮ Nonlinear geospatial frame transformations in the presence of noisy data ⋮ Computing Helmert transformations ⋮ An integrated solution for reducing ill-conditioning and testing the results in non-linear 3D similarity transformations

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