Derivation of 9-parameter affine 3D geodetic datum transformations

Article


Ruffhead, A. 2022. Derivation of 9-parameter affine 3D geodetic datum transformations. Survey Review. 55 (392), pp. 441-450. https://doi.org/10.1080/00396265.2022.2137094
AuthorsRuffhead, A.
Abstract

This paper proposes a new method of deriving 9-parameter affine 3D datum transformations by ordinary least-squares. Unlike previous methods, it covers all versions of the transformation. Initially, an ‘average’ scale factor is computed by distance analysis. Removing the scaling effect, the ‘RIGOPT’ subroutine is applied to optimise the rigid transformation that consists of 3 translations and 3 rotations. Using an equivalent enlargement hypothesis, the number of scale factors is increased to 3 by a short series of single-search-direction optimisations. The minimisation of residuals is verified by enclosing-interval analysis. The case studies cover datasets in Western Australia, Great Britain and Sweden.

JournalSurvey Review
Journal citation55 (392), pp. 441-450
ISSN0039-6265
Year2022
PublisherTaylor & Francis
Accepted author manuscript
License
File Access Level
Anyone
Digital Object Identifier (DOI)https://doi.org/10.1080/00396265.2022.2137094
Publication dates
Online02 Nov 2022
Publication process dates
Accepted13 Oct 2022
Deposited14 Dec 2023
Copyright holder© 2022 Survey Review Ltd
Additional information

This is an Accepted Manuscript of an article published by Taylor & Francis in Survey Review on 02 Nov 2022, available at: http://www.tandfonline.com/10.1080/00396265.2022.2137094

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File access level: Anyone

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