Partitions of normalised multiple regression equations for datum transformations

Article


Ruffhead, A. 2022. Partitions of normalised multiple regression equations for datum transformations. Boletim de Ciências Geodésicas. 28 (Art. e2022007). https://doi.org/10.1590/s1982-21702022000100007
AuthorsRuffhead, A.
Abstract

Multiple regression equations (MREs) provide an empirical direct method of transforming coordinates between geodetic datums. Since they offer a means of modelling distortions, they are capable of a more accurate fit to datum-shift datasets than more basic direct methods. MRE models of datum shifts traditionally consist of polynomials based on relative latitude and longitude. However, the limited availability of low-power terms often leads to high-power terms being included, and these are a potential cause of instability. This paper introduces three variations based on simple partitions and 2 or 4 smoothly conjoined polynomials. The new types are North/South, East/West and Four-Quadrant. They increase the availability of low-order terms, enabling distortions to be modelled with fewer side effects. Case studies in Great Britain, Slovenia and Western Australia provide examples of partitioned MREs that are more accurate than conventional MREs with the same number of terms.

JournalBoletim de Ciências Geodésicas
Journal citation28 (Art. e2022007)
ISSN1982-2170
Year2022
PublisherFederal University of Paraná
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Anyone
Digital Object Identifier (DOI)https://doi.org/10.1590/s1982-21702022000100007
Publication dates
Online08 Apr 2022
Publication process dates
Accepted25 Nov 2021
Deposited02 Mar 2023
Copyright holder© 2022 The Author
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