File:Regression circulaire dist alg gander.svg
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Size of this PNG preview of this SVG file: 468 × 364 pixels. Other resolutions: 309 × 240 pixels | 617 × 480 pixels | 988 × 768 pixels | 1,280 × 996 pixels | 2,560 × 1,991 pixels.
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Summary[edit]
| Description |
English: Circle fitting by minimizing the algebraic distance. Created with Scilab, modified with Inkscape.
Français : Régression circulaire en minimisant la distance algébrique. Créé avec Scilab, modifié avec Inkscape. |
| Date | |
| Source | Own work, from Gander, W., Golub, G. H. and Strebel, R., Fitting of Circles and Ellipses. Least Squares Solution, Eidgenössische Technische Hochschule (ETH, Zürich), june 1994, report 217, [1] |
| Author | Cdang |
Scilab source
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This media was created with Scilab, a free open-source software. Here is a listing of the Scilab source used to create this file. |
// **********
// Initialisation
// **********
clear;
// données (Gander et coll.)
X0 = [1, 2, 5, 7, 9, 3];
Y0 = [7, 6, 8, 7, 5, 7];
function [A] = regression_circulaire(X, Y)
B = [X.^2 + Y.^2, X, Y, ones(X)];
[U, S, V]= svd(B);
u = V(:,4); a = u(1); b =[u(2); u(3)]; c = u(4);
z = -b/2/a; r = sqrt(norm(z)^2 - c/a);
A = [z', r];
endfunction
// **********
// programme principal
// **********
// lecture des données
// Xdef, Ydef : vecteurs ligne
Xdef = X0';
Ydef = Y0';
fenetre = scf(0); // création de la fenêtre graphique
// regression
[Aopt] = regression_circulaire(Xdef, Ydef)
centre = Aopt(1:2);
rayon = Aopt(3);
diam = 2*rayon;
print(%io(2), centre)
print(%io(2), rayon)
plot(Xdef, Ydef, 'b+');
plot(centre(1), centre(2), 'r+');
xarc(centre(1)-rayon, centre(2)+rayon, diam, diam, 0, 360*64)
xmin = min(centre(1)-rayon, min(Xdef));
xmax = max(centre(1)+rayon, max(Xdef));
ymin = min(centre(2)-rayon, min(Ydef));
ymax = max(centre(2)+rayon, max(Ydef));
isoview(xmin, xmax, ymin, ymax);
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following licenses:
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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. |
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported, 2.5 Generic, 2.0 Generic and 1.0 Generic 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.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:19, 3 January 2013 | | 468 × 364 (21 KB) | Cdang (talk | contribs) | {{Information |Description ={{en|1=Circle -> red}} |Source ={{own}} |Author =Cdang |Date = |Permission = |other_versions = }} |
| 16:54, 3 January 2013 |  | 468 × 364 (21 KB) | Cdang (talk | contribs) | {{Information |Description ={{en|1=Circle fitting by minimizing the algebraic distance. Created with Scilab, modified with Inkscape.}} {{fr|1=Régression circulaire en minimisant la distance algébrique. Créé avec Scilab, modifié avec Inkscape.}}... |
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