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The non-linear 2D symmetric helmert transformation : An exact non-linear least-squares solution
Abstract In this paper a particular class of non-linear least-squares problems for which it is possible to take advantage of the special structure of the non-linear model, is discussed. The non-linear models are of the ruled-type (Teunisson, 1985a). The proposed solution strategy is applied to the2D non-linear Symmetric Helmert transformation which is defined in the paper. An exact non-linear least-squares solution, using a rotational invariant covariance structure is given.
The non-linear 2D symmetric helmert transformation : An exact non-linear least-squares solution
Abstract In this paper a particular class of non-linear least-squares problems for which it is possible to take advantage of the special structure of the non-linear model, is discussed. The non-linear models are of the ruled-type (Teunisson, 1985a). The proposed solution strategy is applied to the2D non-linear Symmetric Helmert transformation which is defined in the paper. An exact non-linear least-squares solution, using a rotational invariant covariance structure is given.
The non-linear 2D symmetric helmert transformation : An exact non-linear least-squares solution
Teunissen, Peter J. G. (author)
Bulletin Géodésique ; 62
1988
Article (Journal)
Electronic Resource
English
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