Linear conform transformation: Errors in both coordinate systems
Applications of Mathematics, Tome 47 (2002) no. 4, pp. 361-380.
Voir la notice de l'article dans 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.
DOI :
10.1023/A:1021705806841
Classification :
62H99, 62J05, 62J99
Mots-clés : linear conform transformation; regression model with constraints
Mots-clés : 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}, publisher = {mathdoc}, volume = {47}, number = {4}, year = {2002}, doi = {10.1023/A:1021705806841}, mrnumber = {1914119}, zbl = {1091.62520}, language = {en}, url = {https://geodesic-test.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 PB - mathdoc UR - https://geodesic-test.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 %I mathdoc %U https://geodesic-test.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. https://geodesic-test.mathdoc.fr/articles/10.1023/A:1021705806841/
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