Linear Conform Transformation: Errors in Both Coordinate Systems

Linear Conform Transformation: Errors in Both Coordinate Systems

Linear conform transformation in the case of non-negligible errors in both coordinate systems is investigated. Estimation of transformation parameters and their statistical properties are described. Confidence ellipses of transformed nonidentical points and cross covariance matrices among them and i...

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Veröffentlicht in:Applications of mathematics (Prague) 2002-08, Vol.47 (4), p.361-380
Hauptverfasser: Kubacek, Lubomir, Kubackova, Ludmila, Sevcik, Jan
Format: Artikel
Sprache:eng
Schlagworte:
Studies
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Zusammenfassung:Linear conform transformation in the case of non-negligible errors in both coordinate systems is investigated. Estimation of transformation parameters and their statistical properties are described. Confidence ellipses of transformed nonidentical points and cross covariance matrices among them and identical points are determined. Some simulation for a verification of theoretical results are presented.[PUBLICATION ABSTRACT]
ISSN:0862-7940
1572-9109
DOI:10.1023/A:1021705806841