File:Lissage sinus bruite spline cubique.svg

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Description
English: Noisy sine function smoothed by a cubic Hermite spline.
Français : Fonction sinus bruitée lissée par une spline cubique de Hermite.
Date
Source Own work
Author Christophe Dang Ngoc Chan (Cdang)
Other versions same data with moving averages smoothing: File:Lissage sinus bruite moyenne glissante.svg

Scilab source

// ***** Génération des données *****

m = 200; // nombre de points mesurés
bruit = 0.2; // amplitude du bruit
x = linspace(0, 2*%pi, m);
y = sin(x) + 0.2*rand(x, "normal"); // valeurs bruitées

// ***** Détermination de la spline *****

n = 6; // nombre de points de contrôle de la spline
xs = linspace(x(1), x($), n); // abscisse des points de contrôle
// répartition uniforme
[ys, d] = lsq_splin(x, y, xs); // détermination de la spline

// ***** Calcul des valeurs lissées de y *****

yliss = interp(x, xs, ys, d); // calcul des données lissées

// ***** Tracé *****

plot(x, y) // données originales
plot(x, yliss, "r") // données lissées

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I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
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Date/TimeThumbnailDimensionsUserComment
current08:19, 26 March 2014Thumbnail for version as of 08:19, 26 March 2014487 × 362 (38 KB)Cdang (talk | contribs){{Information |Description={{en|1=Noisy sine function smoothed by a cubic Hermite spline.}} {{fr|1=Fonction sinus bruitée lissée par une ''spline'' cubique de Hermite.}} |Source={{own}} |Date=2014-03-26 |Author= Christophe Dang Ngoc Chan (~~~) |othe...

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