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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