Equivalence properties of 3D conformal transformations and their application to reverse transformations

Article


Ruffhead, A. 2021. Equivalence properties of 3D conformal transformations and their application to reverse transformations. Survey Review. 53 (377), pp. 158-168. https://doi.org/10.1080/00396265.2019.1708604
AuthorsRuffhead, A.
Abstract

Seven-parameter conformal coordinate transformations, also known as Helmert transformations, can be constructed in more than one way. Two possible orderings of the rotations are in common use, giving rise to Helmert versions 1 and 2. It is demonstrated how the rotation parameters of either version can be converted into the rotation parameters of the other. This is useful when software is designed for the other version. It also enables computation of the same-formula inverse transformation by changing the sign of the equivalent ‘other version’ parameters. These results were primarily intended for conformal transformations between geodetic datums. They can, however, be extended to coordinate transformations in disciplines such as photogrammetry where rotations sometimes exceed 90 degrees.

JournalSurvey Review
Journal citation53 (377), pp. 158-168
ISSN0039-6265
Year2021
PublisherTaylor & Francis
Accepted author manuscript
License
File Access Level
Anyone
Digital Object Identifier (DOI)https://doi.org/10.1080/00396265.2019.1708604
Publication dates
Online08 Jan 2020
Publication process dates
Accepted19 Dec 2019
Deposited02 Mar 2023
Copyright holder© 2020 Survey Review Ltd
Additional information

This is an Accepted Manuscript of an article published by Taylor & Francis in Survey Review on 8 January 2020, available at: http://www.tandfonline.com/10.1080/00396265.2019.1708604

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File access level: Anyone

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