Linear conform transformation: Errors in both coordinate systems
Applications of Mathematics, Tome 47 (2002) no. 4, pp. 361-380
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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.
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.
DOI :
10.1023/A:1021705806841
Classification :
62H99, 62J05, 62J99
Keywords: linear conform transformation; regression model with constraints
Keywords: linear conform transformation; regression model with constraints
@article{10_1023_A:1021705806841,
author = {Kub\'a\v{c}ek, Lubom{\'\i}r and Kub\'a\v{c}kov\'a, Ludmila and \v{S}ev\v{c}{\'\i}k, Jan},
title = {Linear conform transformation: {Errors} in both coordinate systems},
journal = {Applications of Mathematics},
pages = {361--380},
year = {2002},
volume = {47},
number = {4},
doi = {10.1023/A:1021705806841},
mrnumber = {1914119},
zbl = {1091.62520},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1021705806841/}
}
TY - JOUR AU - Kubáček, Lubomír AU - Kubáčková, Ludmila AU - Ševčík, Jan TI - Linear conform transformation: Errors in both coordinate systems JO - Applications of Mathematics PY - 2002 SP - 361 EP - 380 VL - 47 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.1023/A:1021705806841/ DO - 10.1023/A:1021705806841 LA - en ID - 10_1023_A:1021705806841 ER -
%0 Journal Article %A Kubáček, Lubomír %A Kubáčková, Ludmila %A Ševčík, Jan %T Linear conform transformation: Errors in both coordinate systems %J Applications of Mathematics %D 2002 %P 361-380 %V 47 %N 4 %U http://geodesic.mathdoc.fr/articles/10.1023/A:1021705806841/ %R 10.1023/A:1021705806841 %G en %F 10_1023_A:1021705806841
Kubáček, Lubomír; Kubáčková, Ludmila; Ševčík, Jan. Linear conform transformation: Errors in both coordinate systems. Applications of Mathematics, Tome 47 (2002) no. 4, pp. 361-380. doi: 10.1023/A:1021705806841
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