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Index Geophysics

Rekonstrukcija meridijanske elipse na bazi eksperimentalnih mjerenja

Item

Title (Dublin Core)

hrv Rekonstrukcija meridijanske elipse na bazi eksperimentalnih mjerenja
eng Reconstruction of the Earth's Meridian Ellipse on the Basis of Experimental Measurements

Description (Dublin Core)

hrv Na bazi novih metoda matematičke optimizacije analizira se stari problem rekonstrukcije Zemljina rotacijskog elipsoida na bazi podataka mjerenja, koji je već početkom 18. stoljeća promatrao francuski matematičar i astronom markiz Pierre-Simon de Laplace. Posebno je analizirana, ilustrirana i modificirana efikasna metoda iz rada (Sabo i Scitovski 2009) za traženje optimalnih parametara najbolje l1 linearne aproksimacije. U znanstvenoj literaturi problem procjene najbolje l1 aproksimacije obično se povezuje s imenom hrvatskog znanstvenika J. R. Boškovića. Metode za traženje najbolje l1 aproksimacije u posljednje vrijeme dobivaju novi zamah u različitim tehničkim primjenama zbog svojstva robusnosti i mogućnosti implementacije u realnom vremenu na suvremenim računalima.
eng On the basis of new mathematical optimization methods this paper analyzes an old problem of reconstructing the Earth's ellipsoid of rotation on the basis of measurement data, which was considered by the French mathematician and astronomer marquis Pierre-Simon de Laplace as early as the beginning of the 18th century. An efficient method from the paper (Sabo and Scitovski 2009) for searching optimal parameters of the best least absolute deviations linear approximation is especially analyzed, illustrated and modified. In the scientific literature the best l1 approximation is usually associated with the name of Croatian scientist J. R. Bošković. The least absolute deviations methods have recently started to be extensively applied in different technical applications due to their property of robustness and the possibility of implementation in real time on modern computers.

Creator (Dublin Core)

Scitovski, Klaudija
Scitovski, Rudolf

Subject (Dublin Core)

hrv pozicioniranje; l1 aproksimacija; fitovanje krivulja; Zemljina meridijanska elipsa
eng Positioning; Least Absolute Deviations; Curve fitting; Earth's Meridian Ellipse

Publisher (Dublin Core)

Croatian geodetic society

Date (Dublin Core)

2009

Type (Dublin Core)

text
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

Format (Dublin Core)

application/pdf

Identifier (Dublin Core)

https://hrcak.srce.hr/35859
hrv https://hrcak.srce.hr/file/56658

Source (Dublin Core)

Geodetski list
ISSN 0016-710X (Print)
ISSN 1849-0611 (Online)
Volume 63 (86)
Issue 1

Language (Dublin Core)

hrv

Rights (Dublin Core)

info:eu-repo/semantics/openAccess
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