Geodesic
Modeling of curves with parametric polynomials by the method of least squares
Matematičeskoe modelirovanie, Tome 16 (2004) no. 6, pp. 48-51 
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/
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     author = {E. B. Kuznetsov and A. Yu. Yakimovitch},
     title = {Modeling of curves with parametric polynomials by the method of least squares},
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     pages = {48--51},
     year = {2004},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_6_a10/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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