TP-traitement-audio-visuel/TP5/exercice_3.m

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2023-06-22 18:47:16 +00:00
clear;
close all;
taille_ecran = get(0, 'ScreenSize');
L = taille_ecran(3);
H = taille_ecran(4);
delete("saves/exercice3.gif");
% Paramètres :
N = 0; % Nombre de disques d'une configuration
R = 10; % Rayon des disques
nb_points_affichage_disque = 30;
increment_angulaire = 2 * pi / nb_points_affichage_disque;
theta = 0:increment_angulaire:2 * pi;
rose = [253 108 158] / 255;
q_max = 1000;
nb_affichages = 20;
pas_entre_affichages = floor(q_max / nb_affichages);
temps_pause = 0.001;
alpha = 0.99;
beta = 1;
lambda = 100;
T = 0.1;
gamma = 5;
S = 130;
a1 = 10;
a2 = 7;
e1 = 0.8;
% Lecture et affichage de l'image :
I = imread('colonie.png');
I = rgb2gray(I);
I = double(I);
I = I(1:400, 100:450);
[nb_lignes, nb_colonnes] = size(I);
poog = figure('Name', ['Detection de ' num2str(N) ' flamants roses'], 'Position', [0.25 * L, 0, 0.4 * L, 0.5 * H]);
pause
% Tirage aléatoire d'une configuration initiale et calcul des niveaux de gris moyens :
c = zeros(N, 2);
a = zeros(N, 1);
e = zeros(N, 1);
teta = zeros(N, 1);
I_moyen = zeros(N, 1);
for i = 1:N
c(i, :) = [nb_colonnes * rand nb_lignes * rand];
a(i) = a1 + a2 * rand();
e(i) = e1 * rand();
teta(i) = 2 * pi * rand();
I_moyen(i) = calcul_I_moyen_elli(I, c(i), a(i), e(i), teta(i));
end
liste_q = 0;
liste_U = 0;
liste_N = N;
liste_I_moyen_config = 0;
% Recherche de la configuration optimale :
q = 1;
qq = 1;
while 1
c_ancien = c;
a_ancien = a;
e_ancien = e;
teta_ancien = teta;
% 1 Naissances
N_til = poissrnd(lambda);
N = length(c);
c = [c; zeros(N_til, 2)];
a = [a; zeros(N_til, 1)];
e = [e; zeros(N_til, 1)];
teta = [teta; zeros(N_til, 1)];
I_moyen = [I_moyen; zeros(N_til, 1)];
for i = N + 1:N + N_til
c(i, :) = [nb_colonnes * rand nb_lignes * rand];
a(i) = a1 + a2 * rand();
e(i) = e1 * rand();
teta(i) = 2 * pi * rand();
I_moyen(i) = calcul_I_moyen_elli(I, c(i, :), a(i), e(i), teta(i));
end
% 2 Tri des disques
N = length(c);
U = 1 - 2 ./ (1 + exp(-gamma * (I_moyen / S - 1)));
[U, ordre] = sort(U, 1, "descend");
I_moyen = I_moyen(ordre);
c = c(ordre, :);
a = a(ordre);
e = e(ordre);
teta = teta(ordre);
% 3 Morts
i = 1;
calcul_U = 1;
while i < length(c)
N = length(c);
if calcul_U
diffX = c(:, 1) - c(:, 1)';
diffY = c(:, 2) - c(:, 2)';
dist = sqrt(diffX.^2 + diffY.^2);
delta = sum(dist < sqrt(2) * (a1 + a2 / 2), "all") - N;
U_tot = sum(U) + beta * delta;
end
diffX = c([1:i - 1 i + 1:N], 1) - c([1:i - 1 i + 1:N], 1)';
diffY = c([1:i - 1 i + 1:N], 2) - c([1:i - 1 i + 1:N], 2)';
dist = sqrt(diffX.^2 + diffY.^2);
delta = sum(dist < sqrt(2) * (a1 + a2 / 2), "all") - (N - 1);
U_c = sum(U([1:i - 1 i + 1:N])) + beta * delta;
proba = lambda / (lambda + exp((U_c - U_tot) / T));
if proba > rand()
c(i, :) = [];
a(i) = [];
e(i) = [];
teta(i) = [];
I_moyen(i) = [];
U(i) = [];
calcul_U = 1;
else
i = i + 1;
calcul_U = 0;
end
end
N = length(c);
% 4 Test de convergence
if q > q_max
break
end
T = alpha * T;
lambda = alpha * lambda;
% Si le disque proposé est "meilleur", mises à jour :
hold off;
subplot(2, 2, 1);
imagesc(I);
axis image;
axis off;
colormap gray;
hold on;
for j = 1:N
AZE = a(j) * [cos(theta); sqrt(1 - e(j)^2) * sin(theta)];
AZE = c(j, :)' + [cos(teta(j)) (-sin(teta(j))); sin(teta(j)) cos(teta(j))] * AZE;
x_affich = AZE(1, :);
y_affich = AZE(2, :);
indices = find(x_affich > 0 & x_affich < nb_colonnes & y_affich > 0 & y_affich < nb_lignes);
subplot(2, 2, 1);
plot(x_affich(indices), y_affich(indices), 'Color', rose, 'LineWidth', 3);
end
pause(temps_pause);
% Courbe d'évolution du niveau d'énergie :
diffX = c(:, 1) - c(:, 1)';
diffY = c(:, 2) - c(:, 2)';
dist = sqrt(diffX.^2 + diffY.^2);
delta = sum(dist < sqrt(2) * (a1 + a2 / 2), "all") - N;
U_tot = sum(U) + beta * delta;
if rem(q, pas_entre_affichages) == 0 || q == 1
liste_q = [liste_q q];
liste_U = [liste_U U_tot];
liste_N = [liste_N N];
I_moyen_config = mean(I_moyen);
liste_I_moyen_config = [liste_I_moyen_config I_moyen_config];
subplot(2, 2, 2);
plot(liste_q, liste_I_moyen_config, '.-', 'Color', rose, 'LineWidth', 3);
axis([0 q_max 0 255]);
xlabel('Nombre d''iterations');
ylabel('Niveau de gris moyen');
subplot(2, 2, 3);
plot(liste_q, liste_U, '.-', 'Color', rose, 'LineWidth', 3);
xlabel('Nombre d''iterations');
ylabel('Energie');
xlim([0, q_max]);
subplot(2, 2, 4);
plot(liste_q, liste_N, '.-', 'Color', rose, 'LineWidth', 3);
xlim([0, q_max]);
xlabel('Nombre de''iteration');
ylabel('Nombre de point');
export_fig(poog, "saves/exercice3.gif", '-png', '-painters', '-m2', '-append');
end
q = q + 1;
end