82 lines
2.2 KiB
Matlab
Executable file
82 lines
2.2 KiB
Matlab
Executable file
clear;
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close all;
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taille_ecran = get(0,'ScreenSize');
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L = taille_ecran(3);
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H = taille_ecran(4);
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load exercice_0;
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% Estimation du point de fuite :
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[rho_F,theta_F] = estimation_F(rho,theta);
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% Coordonnees cartesiennes du point de fuite :
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x_F = rho_F*cos(theta_F);
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y_F = rho_F*sin(theta_F);
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figure('Name','Estimation du point de fuite','Position',[0.7*L,0,0.3*L,H]);
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% Affichage des points de coordonnees (rho,theta) :
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subplot(2,1,1);
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plot(theta,rho,'k+','MarkerSize',10,'LineWidth',2);
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axis([-pi pi -1.2*rho_F 1.2*rho_F]);
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set(gca,'FontSize',20);
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hx = xlabel('$\theta$','FontSize',30);
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set(hx,'Interpreter','Latex');
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hy = ylabel('$\rho$','FontSize',30);
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set(hy,'Interpreter','Latex');
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grid;
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hold on;
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% Affichage de la sinusoide correspondant au point de fuite :
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pas = 0.01;
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theta_affichage = -pi:pas:pi;
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rho_affichage = rho_F*cos(theta_affichage-theta_F);
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plot(theta_affichage,rho_affichage,'b-','LineWidth',3);
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% Affichage des points de coordonnees (rho,theta) :
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plot(theta,rho,'r+','MarkerSize',10,'LineWidth',2);
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title('Sinusoide estimee');
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% Affichage de l'image :
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subplot(2,1,2);
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imagesc(I);
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set(gca,'FontSize',20);
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axis ij equal off;
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colormap gray;
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hold on;
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% Limites des affichages :
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marge = round(min(n_lignes,n_colonnes)/10);
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x_min = min(1,x_F)-marge;
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x_max = max(n_colonnes,x_F)+marge;
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y_min = min(1,y_F)-marge;
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y_max = max(n_lignes,y_F)+marge;
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limites_affichages = [x_min x_max y_min y_max];
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axis(limites_affichages);
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% Affichage d'une selection des droites formant le premier faisceau :
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taille_selection = min(length(rho),10);
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longueurs_segments_au_carre = (extremites(1,1,:)-extremites(1,2,:)).^2 ...
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+(extremites(2,1,:)-extremites(2,2,:)).^2;
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[~,indices_tries] = sort(longueurs_segments_au_carre,'descend');
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selection = indices_tries(1:taille_selection);
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affichage_faisceau(rho(selection),theta(selection),limites_affichages,'r');
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% Affichage du point de fuite :
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plot(x_F,y_F,'bx','MarkerSize',20,'LineWidth',5);
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title('Point de fuite');
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function [rho_F, theta_F] = estimation_F(rho, theta)
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B = rho;
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A = [cos(theta.') ; sin(theta.')].';
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X = (A.'*A)\(A.'*B);
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rho_F = sqrt( X(1)^2 + X(2)^2 );
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theta_F = atan2(X(2), X(1));
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end
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