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Least Squares Collocation Alternative to Helmert’s Transformation with Hausbrandt’s Post – Transformation Correction

Authors
  • Ligas, Marcin
  • Banasik, Piotr
Type
Published Article
Journal
Reports on Geodesy and Geoinformatics
Publisher
De Gruyter Open
Publication Date
Feb 03, 2015
Volume
97
Issue
1
Pages
23–34
Identifiers
DOI: 10.2478/rgg-2014-0009
Source
De Gruyter
Keywords
License
Green

Abstract

The paper presents a least squares collocation - based alternative to Helmert’s transformation with Hausbrandt’s post – transformation correction. The least squares collocation is used as an exact predictor i.e. it honors the data, thus the problem of zero residuals on transformation control points is overcome and zero residuals are assured by the method applied. Despite the fact that the procedure is presented for Helmert’s transformation it may easily be copied to any other form of coordinate transformation. A numerical example is provided within the content of the paper.

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