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Contribution to the Geometry of the Helmert Transformation

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Abstract

Considering the fact that the determination of the Helmert transformation of one point set to another point set is a non-linear problem of adjustment, a geometrical theory for this problem is treated, and as a result of this theory a simple and numerically strong method for the computation of the parameters of the Helmert transformation is presented.

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References

  1. G. H. Golub and C. Reinsch. Singular value decomposition and least squares solutions. Numerische Mathematik, 14:403–420, 1970.

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© 2006 Springer-Verlag Berlin Heidelberg

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(2006). Contribution to the Geometry of the Helmert Transformation. In: Borre, K. (eds) Mathematical Foundation of Geodesy. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-33767-9_25

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