Derivation of 9-parameter affine 3D geodetic datum transformations

IF 1.2 4区地球科学 Q3 ENGINEERING, CIVIL

Survey Review Pub Date : 2022-11-02 DOI:10.1080/00396265.2022.2137094

A. Ruffhead

引用次数: 0

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.

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九参数仿射三维大地基准变换的推导

本文提出了一种用普通最小二乘法导出9参数仿射三维基准变换的新方法。与以前的方法不同，它涵盖了转换的所有版本。最初，通过距离分析计算“平均”比例因子。去除缩放效果后，应用“RIGOPT”子程序来优化由3个平移和3个旋转组成的刚性变换。使用等效放大假设，通过一系列短的单搜索方向优化，比例因子的数量增加到3。残差的最小化通过封闭区间分析来验证。案例研究涵盖了西澳大利亚、英国和瑞典的数据集。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Survey Review 地学-地球科学综合

CiteScore

3.50

自引率

6.20%

发文量

审稿时长

6 months

期刊介绍： Survey Review is an international journal that has been published since 1931, until recently under the auspices of the Commonwealth Association of Surveying and Land Economy (CASLE). The journal is now published for Survey Review Ltd and brings together research, theory and practice of positioning and measurement, engineering surveying, cadastre and land management, and spatial information management. All papers are peer reviewed and are drawn from an international community, including government, private industry and academia. Survey Review is invaluable to practitioners, academics, researchers and students who are anxious to maintain their currency of knowledge in a rapidly developing field.