Geodesic
On one approach to local surface smoothing
Kybernetika, Tome 43 (2007) no. 4, pp. 533-546

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A bicubic model for local smoothing of surfaces is constructed on the base of pivot points. Such an approach allows reducing the dimension of matrix of normal equations more than twice. The model enables to increase essentially the speed and stability of calculations. The algorithms, constructed by the aid of the offered model, can be used both in applications and the development of global methods for smoothing and approximation of surfaces.
Classification : 41A10, 62J05, 65D17, 93E14, 93E24
Keywords: data smoothing; least squares and related methods; linear regression; approximation by polynomials; interpolation; computer aided design (modeling of curves and surfaces); surface approximation 
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     author = {Dikoussar, Nikolay and T\"or\"ok, Csaba},
     title = {On one approach to local surface smoothing},
     journal = {Kybernetika},
     pages = {533--546},
     publisher = {mathdoc},
     volume = {43},
     number = {4},
     year = {2007},
     mrnumber = {2377931},
     zbl = {1139.65009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2007__43_4_a13/}
}
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Dikoussar, Nikolay; Török, Csaba. On one approach to local surface smoothing. Kybernetika, Tome 43 (2007) no. 4, pp. 533-546. http://geodesic.mathdoc.fr/item/KYB_2007__43_4_a13/