APPLICATIONS OF MATHEMATICS, Vol. 47, No. 4, pp. 361-380, 2002

Linear conform transformation:
Errors in both coordinate systems

Lubomir Kubacek, Ludmila Kubackova, Jan Sevcik

L. Kubacek, L. Kubackova and J. Sevcik, Department of Mathematical Analysis and Applied Mathematics, Faculty of Sciences, Palacky University, Tomkova 40, 779 00 Olomouc, Czech Republic, e-mail: kubacek@aix.upol.cz

Abstract: 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.

Keywords: linear conform transformation, regression model with constraints

Classification (MSC 2000): 62J05


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