Geodesic
Optimal parametrization in approximation of curves and surfaces
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 5, pp. 760-774 Cet article a éte moissonné depuis la source Math-Net.Ru

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Interpolation and smoothing of curves and surfaces by parametric functions are considered. Necessary and sufficient conditions for the optimal choice of the parameters for the approximation of curves and surfaces are formulated and proved. Various parametrization methods are compared. Numerical examples of solving test problems are presented. 
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E. B. Kuznetsov; A. Yu. Yakimovitch. Optimal parametrization in approximation of curves and surfaces. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 5, pp. 760-774. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_5_a1/

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