ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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Parametrization of surfaces by a method of continuation of solution on parameter

E. B. Kuznetsov1, P. A. Filatov2

AnnotationIn work theoretical aspects are considered of a method of continuation of solution on parameter. The special attention is given application of this method in tasks of parametrical approach of surfaces splines. The shown results of computational investigation confirm requisite and sufficient conditions to get the best parameters for surfaces parametrization.
Keywordsparametrization, best parameter, main curvatures, interpolation, cubic spline.

1Professor of the Moscow Aviation Institute, Moscow city; kuznetsov@mai.ru

2The post-graduate student of the Moscow Aviation Institute, Moscow city.

Citation: E. B. Kuznetsov, P. A. Filatov, "[Parametrization of surfaces by a method of continuation of solution on parameter]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:2 (2010) 14–25 (In Russian)