Modeling of curves with parametric polynomials by the method of least squares
Matematičeskoe modelirovanie, Tome 16 (2004) no. 6, pp. 48-51
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We consider the problem of the approximation of discrete functions with parametric polynomials by method of least squares (MLS). The problem of the choice of the best parameter is studied. The problem of the determination of coefficients of approximation polynomials is solved by the traditional method – solving the normal system of MLS, and by method of orthogonal polynomials. The presented algorithms can be applied to both space and plane curves.
@article{MM_2004_16_6_a10,
author = {E. B. Kuznetsov and A. Yu. Yakimovitch},
title = {Modeling of curves with parametric polynomials by the method of least squares},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {48--51},
year = {2004},
volume = {16},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_2004_16_6_a10/}
}
TY - JOUR AU - E. B. Kuznetsov AU - A. Yu. Yakimovitch TI - Modeling of curves with parametric polynomials by the method of least squares JO - Matematičeskoe modelirovanie PY - 2004 SP - 48 EP - 51 VL - 16 IS - 6 UR - http://geodesic.mathdoc.fr/item/MM_2004_16_6_a10/ LA - ru ID - MM_2004_16_6_a10 ER -
E. B. Kuznetsov; A. Yu. Yakimovitch. Modeling of curves with parametric polynomials by the method of least squares. Matematičeskoe modelirovanie, Tome 16 (2004) no. 6, pp. 48-51. http://geodesic.mathdoc.fr/item/MM_2004_16_6_a10/
[1] Samarskii A. A., Gulin A. V., Chislennye metody, Nauka, M., 1989 | MR
[2] Bakhvalov N. S., Zhidkov N. P., Kobelkov G. M., Chislennye metody, Nauka, M., 1987 | MR | Zbl
[3] Kuznetsov E. B., Shalashilin V. I., Metod prodolzheniya resheniya po parametru i nailuchshaya parametrizatsiya v prikladnoi matematike i mekhanike, Editoreal URSS, M., 1999 | MR
[4] Foks A., Pratt M., Vychislitelnaya geometriya, Mir, M., 1982 | MR
[5] Khemming R. V., Chislennye metody, Nauka, M., 1972 | MR
[6] Seber Dzh., Lineinyi regressionnyi analiz, Mir, M., 1980 | Zbl
[7] Nosach V. V., Reshenie zadach approksimatsii s pomoschyu personalnykh kompyuterov, MIKAP, M., 1994
[8] Verzhbitskii V. M., Osnovy chislennykh metodov, Vyssh. shk., M., 2002