File:Detection pic derivee seconde.png

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Detection_pic_derivee_seconde.png ‎(610 × 461 pixels, file size: 6 KB, MIME type: image/png)

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Summary[edit]

Description
English: Detection of a peak on a curve using the second derivative. Made with Scilab.
Français : Détection d'un pic d'une courbe par le minimum de la dérivée seconde. Réalisé avec Scilab.
Date
Source Own work
Author Christophe Dang Ngoc Chan (cdang)

Scilab source

Scilab source
Scilab source
 This media was created with Scilab, a free open-source software.

Here is a listing of the Scilab source used to create this file. 

clear;clf;

// Domaine de tracé et largeur de pic

pas=0.05
X = [0:pas:10]';
X1 = [pas:pas:10-pas]';
X2 = [2*pas:pas:10-2*pas]';
s = 0.1;

// Fonction de Gauss

function [y]=gauss(x)
   y=1/(sqrt(2*%pi*s))*exp(-x^2/(2*s))
endfunction

// fonction totale

function [y]=f(x)
   y=gauss(x-2) + 0.5*gauss(x-6.2) + gauss(x-7)
endfunction

// Dérivées empirique

function [y]=f1(x)
   y=(f(x+0.1)-f(x-0.1))/0.2;
endfunction

function [y]=f2(x)
   y=(f1(x+0.1)-f1(x-0.1))/0.2;
endfunction

// Affichage courbe initiale

subplot(3,1,1)

plot2d(X,f(X),style=2,rect=[0,0,10,1.5]) // courbe
xtitle('Courbe initiale','x','y')

xpoly([2,2],[0,1.3],'lines',0) // position pic 1
set('line_style',2)

xpoly([6.2,6.2],[0,0.7],'lines',0) // position pic 2
set('line_style',2)

xpoly([7,7],[0,1.3],'lines',0) // position pic 3
set('line_style',2)

// Affichage dérivée

subplot(3,1,2)

xpoly([0,10],[0,0],'lines',0) // axe y'=0

plot2d(X1,f1(X1),style=2) // courbe
xtitle('Courbe dérivée','x','y '' ')

xpoly([2,2],[-1,1],'lines',0) // position pic 1
xpoly([6.2,6.2],[-1,1],'lines',0) // position pic 2
xpoly([7,7],[-1,1],'lines',0) // position pic 3

// Affichage dérivée seconde

subplot(3,1,3)

xpoly([0,10],[0,0],'lines',0) // axe y''= 0

plot2d(X2,f2(X2),style=2)
xtitle('Courbe dérivée seconde','x','y '' '' ')

xpoly([2,2],[0,-11.5],'lines',0) // position pic 1
set('line_style',2)

xpoly([6.2,6.2],[0,-3],'lines',0) // position pic 2
set('line_style',2)

xpoly([7,7],[0,-10],'lines',0) // position pic 3
set('line_style',2)

Licensing[edit]

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.
w:en:Creative Commons
attribution share alike 		This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
This licensing tag was added to this file as part of the GFDL licensing update.
You may select the license of your choice.

File history

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Date/TimeThumbnailDimensionsUserComment
current14:01, 5 December 2005Thumbnail for version as of 14:01, 5 December 2005610 × 461 (6 KB)Cdang (talk | contribs)traits pointillés
11:43, 5 December 2005Thumbnail for version as of 11:43, 5 December 2005610 × 461 (6 KB)Cdang (talk | contribs)Détection d'un pic d'une courbe par le minimum de la dérivée seconde ---- Detection of a peak on a curve using the second derivative Auteur/author : Christophe Dang Ngoc Chan (user:cdang) Réalisé avec/made with [http://www.scilab.org/ Scilab]

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