Least squares collocation alternative to Helmert's transformation with Hausbrandt's post-transformation correction

• Autorzy: Ligas M. , Banasik P.

Identyfikatory

DOI

10.2478/rgg-2014-0009

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

least squares collocation; Helmert's transformation; covariance function; post-transformation correction

PL

kolokacja metodą najmniejszych kwadratów; transformacja Helmerta; funkcja kowariancji; kowariancja; korekta posttransformacyjna

• Wydawca: Wydział Geodezji i Kartografii Politechniki Warszawskiej
• Czasopismo: Reports on Geodesy and Geoinformatics
• Rocznik: 2014
• Tom: Vol. 97
• Strony: 23--34
• Opis fizyczny: Bibliogr. 11 poz., rys., tab.

Twórcy

autor

Ligas M.

• AGH University of Science and Technology, Faculty of Mining Surveying and Environmental Engineering, Department of Geomatics, 30 Mickiewicza Av., 30–059 Krakow, Poland

autor

Banasik P.

• AGH University of Science and Technology, Faculty of Mining Surveying and Environmental Engineering, Department of Geomatics, 30 Mickiewicza Av., 30–059 Krakow, Poland

Bibliografia

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