36 lines
1.3 KiB
Mathematica
36 lines
1.3 KiB
Mathematica
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donnees;
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n_tests = 500;
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% Estimation de la position du centre :
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[C_estime,R_moyen] = estimation_1(x_donnees_bruitees,y_donnees_bruitees,n_tests);
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% Affichage du cercle estime :
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n_points_cercle = 100;
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theta_cercle = 2*pi/n_points_cercle:2*pi/n_points_cercle:2*pi;
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x_cercle_estime = C_estime(1)+R_moyen*cos(theta_cercle);
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y_cercle_estime = C_estime(2)+R_moyen*sin(theta_cercle);
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plot(x_cercle_estime([1:end 1]),y_cercle_estime([1:end 1]),'b','LineWidth',3);
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lg = legend(' Cercle initial', ...
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' Donnees bruitees', ...
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' Cercle estime', ...
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'Location','Best');
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function [C_estime, R_moyen] = estimation_1(x_donnees_bruitees, y_donnees_bruitees, n_tests)
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G = mean( [ x_donnees_bruitees.' y_donnees_bruitees.' ] );
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R_moyen = mean( sqrt((x_donnees_bruitees.'-G(1)).^2 + (y_donnees_bruitees.'-G(2)).^2) );
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x = repmat(x_donnees_bruitees.', 1, n_tests);
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y = repmat(y_donnees_bruitees.', 1, n_tests);
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x_rand = repmat((rand(1, n_tests)*R_moyen - R_moyen/2) + G(1), length(x_donnees_bruitees), 1);
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y_rand = repmat((rand(1, n_tests)*R_moyen - R_moyen/2) + G(2), length(y_donnees_bruitees), 1);
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dist = (sqrt((x-x_rand).^2 + (y-y_rand).^2) - R_moyen).^2;
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[min_val, min_index] = min( sum( dist ) );
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C_estime = [ x_rand(1, min_index) y_rand(1, min_index) ];
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end
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