Naslov
Approximating surfaces by moving total least squares method

Autori
Scitovski, Rudolf ; Ungar, Šime ; Jukić, Dragan

Izvornik
Applied mathematics and computations (0096-3003) 93 (1998); 219-232

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
surface generating; moving least squares

Sažetak
We suggest a method for generating a surface approximating the given data $(x_i,y_i,z_i)inR^3$, $i=1,ldots,m$,assuming that the errors can occur both in the independent variables $x$ and $y$, as well as in the dependent variable $z$. Our approach is based on the moving total least squares method,where the local approximants (local planes) are determined in the sense of total least squares. The parameters of the local approximants are obtained by finding the eigenvector, corresponding to the smallest eigenvalue of a certain symmetric matrix. For this we develop a procedure based on the inverse power method. The method is tested on several examples.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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