commit 4ea5f3f2f9643e43f22e8240f52bf740bf417a30 Author: Laureηt Date: Sun Jun 25 16:42:57 2023 +0200 init diff --git a/TP_mosaique.m b/TP_mosaique.m new file mode 100644 index 0000000..5f84ab8 --- /dev/null +++ b/TP_mosaique.m @@ -0,0 +1,88 @@ +clear all; +close all; + +% Lecture des images +Im1 = imread('sweet1.pgm'); +Im2 = imread('sweet2.pgm'); + +Im1_coul = imread('sweet_couleur1.jpg'); +Im2_coul = imread('sweet_couleur2.jpg'); +Im3_coul = imread('sweet_couleur3.jpg'); +% Im1_coul = imread('rescaled_local_1.jpg'); +% Im2_coul = imread('rescaled_local_2.jpg'); +% Im3_coul = imread('rescaled_local_3.jpg'); +% Im4_coul = imread('rescaled_local_4.jpg'); +% Im5_coul = imread('rescaled_local_5.jpg'); +% Im6_coul = imread('rescaled_local_6.jpg'); +% Im7_coul = imread('rescaled_local_7.jpg'); +% Im8_coul = imread('rescaled_local_8.jpg'); +% Im1_coul = imread('im1.jpg'); +% Im2_coul = imread('im2.jpg'); +% Im3_coul = imread('im3.jpg'); +% Im4_coul = imread('im4.jpg'); + +% Affichage des deux premières images en niveaux de gris +% figure; +% affichage_image(Im1,'Image 1',1,2,1); +% affichage_image(Im2,'Image 2',1,2,2); + +% Choix des parametres +TailleFenetre = 17; +NbPoints = 100; +k = 0.05; +seuil = 0.80; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Detection des points d'interet avec Harris % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% [XY_1,Res_1] = harris(Im1,TailleFenetre,NbPoints,k); +% [XY_2,Res_2] = harris(Im2,TailleFenetre,NbPoints,k); +% figure; +% affichage_POI(Im1,XY_1,'POI Image 1',1,2,1); +% affichage_POI(Im2,XY_2,'POI Image 2',1,2,2); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Appariement des points d'interet % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% [XY_C1,XY_C2] = apparier_POI(Im1,XY_1,Im2,XY_2,TailleFenetre,seuil); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Estimation (et verification) de l'homographie % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% H = homographie(XY_C1,XY_C2); + +%%%%%%%%%%%%%%%%%%%%%%%%% +% Calcul de la mosaique % +%%%%%%%%%%%%%%%%%%%%%%%%% +% Imos = mosaique(Im1,Im2,H); +% figure; +% affichage_image(uint8(Imos),'Mosaique obtenue a partir des 2 images initiales',1,1,1); +% imwrite(uint8(Imos),'mosaique2.pgm'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Version 2 pour la reconstruction % +% A DECOMMENTER QUAND MOSAIQUEBIS AURA ETE ECRITE % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Imosbis = mosaiquebis(Im1,Im2,H); +% figure; +% affichage_image(uint8(Imosbis),'Mosaique obtenue a partir des 2 images initiales (version 2)',1,1,1); +% imwrite(uint8(Imosbis),'mosaique2_bis.pgm'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Version 3 pour la reconstruction avec les couleurs R, G et B % +% A DECOMMENTER QUAND MOSAIQUECOUL AURA ETE ECRITE % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Imoscoul = mosaiquecoul(Im1_coul,Im2_coul,H); +% figure; +% affichage_image(uint8(Imoscoul),'Mosaique obtenue a partir des 2 images couleur initiales (version 2)',1,1,1); +% imwrite(uint8(Imoscoul),'mosaique2_coul.pgm'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Version 4 pour la reconstruction avec 3 images % +% en couleurs et/ou en niveaux de gris % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Imoscoul = mosaiqueN(TailleFenetre, NbPoints, k, seuil, Im1_coul, Im2_coul, Im3_coul); +Imoscoul = mosaiqueNbis(TailleFenetre, NbPoints, k, seuil, 2, Im1_coul, Im2_coul, Im3_coul); +figure; +affichage_image(Imoscoul,'Mosaique obtenue a partir des 3 images couleur initiales (version 2)',1,1,1); +% imwrite(uint8(Imoscoul),'mosaique2_coul.pgm'); diff --git a/affichage_POI.m b/affichage_POI.m new file mode 100644 index 0000000..cb82ee8 --- /dev/null +++ b/affichage_POI.m @@ -0,0 +1,17 @@ +% Fonction permettant d'afficher les images avec les points d'interet +% detectes +% ENTREES +% Im : Image +% points : les points a afficher +% message : le titre de la figure +% l, c, numero : le nombre de lignes et colonnes de la figure et le numero +% dans la sous-figure +% SORTIE : la figure +function [] = affichage_POI(Im,points,message,l,c,numero) +% Affichage de l'image +subplot(l,c,numero); +colormap(gray);imshow(Im); hold on; +plot_points(points,length(points),'o'); +title(message); +hold off; +end diff --git a/affichage_appariement.m b/affichage_appariement.m new file mode 100644 index 0000000..d1e25a6 --- /dev/null +++ b/affichage_appariement.m @@ -0,0 +1,28 @@ +% Fonction permettant d'afficher les images +% avec les points d'interet numerotes +% Les points portant le meme numero sont les correspondants +% ENTREES +% Im : Image +% mesurex1,mesurey1 : les points à afficher +% message : le titre de la figure +% l, c, numero : le nombre de lignes et colonnes de la figure et le numero +% dans la sous-figure +% SORTIE : la figure +function [] = affichage_appariement(Im,mesurex1,mesurey1,message,l,c,numero) +% Affichage de l'image +subplot(l,c,numero); +imshow(Im); +% Affichage des points +hold on; +plot(mesurex1,mesurey1,'r.','MarkerSize',15) +% Affichage des numeros +for i=1:size(mesurex1,1) + if (i<10) + text(mesurex1(i)-15,mesurey1(i),num2str(i),'Color','g','FontSize',12) + else + text(mesurex1(i)-30,mesurey1(i),num2str(i),'Color','g','FontSize',12) + end +end +hold off; + +end \ No newline at end of file diff --git a/affichage_image.m b/affichage_image.m new file mode 100644 index 0000000..8a9b98d --- /dev/null +++ b/affichage_image.m @@ -0,0 +1,13 @@ +% Fonction permettant d'afficher les images +% ENTREES +% Im : Image +% message : le titre de la figure +% l, c, numero : le nombre de lignes et colonnes de la figure et le numero +% dans la sous-figure +% SORTIE : la figure +function [] = affichage_image(Im,message,l,c,numero) + subplot(l,c,numero); + colormap(gray); + imshow(Im); + title(message); +end \ No newline at end of file diff --git a/appa1.png b/appa1.png new file mode 100644 index 0000000..5b76176 Binary files /dev/null and b/appa1.png differ diff --git a/appa2.png b/appa2.png new file mode 100644 index 0000000..9d42b44 Binary files /dev/null and b/appa2.png differ diff --git a/apparier_POI.m b/apparier_POI.m new file mode 100644 index 0000000..5c3b24d --- /dev/null +++ b/apparier_POI.m @@ -0,0 +1,47 @@ +function [XY_C1, XY_C2] = apparier_POI(Im1, XY_1, Im2, XY_2, TailleFenetre, seuil) + % apparierPOI apparie les points d'interet stockes dans XY_1 et XY_2 entre + % les images Im1 et Im2 avec une fenetre de correlation de taille + % TailleFenetre + % seuil correspond au seuil utilise pour eliminer les erreurs d'appariement + % XY_C1 et XY_C2 sont les coordonnees des points de l'image 1 + % apparies avec les points XY_C2 de l'image 2 + + % Nombre de points a mettre en correspondance + NbPoints = size(XY_1, 1); + + % Calcul de ZNCC + C = apparier_Points(Im1, XY_1, Im2, XY_2, TailleFenetre); + C = abs(C); + + % Recherche par methode WTA (Winner Takes All) + % Indices des maxima sur les lignes + [maxI1, ind1_2] = max(C, [], 2); + ind1_2 = ind1_2(:); + + % Indices des maxima sur les colonnes + [~, ind2_1] = max(C, [], 1); + ind2_1 = ind2_1(:); + + % Verification de la contrainte de symetrie + % + seuillage du score de correlation + % Cette premiere ligne doit etre modifiee pour appliquer les contraintes souhaitees + ind2ind = ind2_1(ind1_2); + ind1 = find(maxI1 > seuil & vecnorm(XY_1(ind2ind, :) - XY_1, 2, 2) <= 0); + % ind1(8) = []; + + % Cette deuxieme doit etre gardee telle quelle + ind2 = ind1_2(ind1); + + % Affichage des appariements + mesurex1 = XY_1(ind1, 1); + mesurey1 = XY_1(ind1, 2); + mesurex2 = XY_2(ind2, 1); + mesurey2 = XY_2(ind2, 2); + + figure; + affichage_appariement(Im1, mesurex1, mesurey1, 'Points d''interet Image 1', 1, 2, 1); + affichage_appariement(Im2, mesurex2, mesurey2, 'Points d''interet correspondants Image 2', 1, 2, 2); + + XY_C1 = [mesurex1(:) mesurey1(:)]; + XY_C2 = [mesurex2(:) mesurey2(:)]; +end diff --git a/apparier_Points.m b/apparier_Points.m new file mode 100644 index 0000000..6d04324 --- /dev/null +++ b/apparier_Points.m @@ -0,0 +1,83 @@ +% Fonction calculant pour chaque appariement de points possible +% ZNCC (Zero-mean Normalized Cross Correlation) definie par : +% (P1-/P1).(P2-/P2) Cov(P1,P2) +% ZNCC(P1,P2) = --------------------- = ----------------------- +% ||P1 - /P1||||P2-/P2|| sqrt(Var(P1)*Var(P2)) +% * P1 = l'ensemble des niveaux de gris du voisinage du point p1=(p1x,p1y) +% sur l'image I1 +% * P2 = l'ensemble des niveaux de gris du voisinage du point p2=(p2x,p2y) +% sur l'image I2 +% * Cov(P1,P2) = E[(P1-E[P1])*(P2-E[P2])] +% = Sum_{i=-k}^k Sum_{j=-k}^k (I1(p1x+i,p1y+j)-E[P1]) +% *(I2(p2x+i,p2y+j)-E[P2])/(2*k+1)^2 +% * E[P1] = esperance de P1 +% = Sum_{i=-k}^k Sum_{j=-k}^k I1(p1x+i,p1y+j)/(2*k+1)^2, +% * E[P2] = esperance de P2 +% = Sum_{i=-k}^k Sum_{j=-k}^k I2(p2x+i,p2y+j)/(2*k+1)^2, +% * Var(P1) = variance de P1 +% = Sum_{i=-k}^k Sum_{j=-k}^k (I1(p1x+i,p1y+j)-E[P1])^2/(2*k+1)^2 +% +% * Var(P2) = variance de P2 +function C = apparier_Points(I1, Ptint1, I2, Ptint2, K) + % I1, I2 : les deux images + % Ptint1, Ptint2 : les coordonnees des points detectes sur l'image 1, resp. 2 + % C : matrice contenant, pour chaque paire de points (en ligne : les points + % de l'image 1, en colonne : les points de l'image 2), la valeur de la + % mesure de correlation pour ces paires de points + % K : Taille de la fenetre de correlation utilisee + + % Dimensions des images + [htI1 lgI1] = size(I1); [htI2 lgI2] = size(I2); + % Nombres de points d'interet de l'image 1 et de l'image 2 + nptI1 = size(Ptint1, 1); nptI2 = size(Ptint2, 1); + % Construction de la matrice des mesures de correlation + % Suppression de tous les points pour lesquels la fenêtre de corrélation + % n'est pas appliquable + C = zeros(nptI1, nptI2); + + % Determination des points dont le voisinage est dans l'image + indptI1 = find(Ptint1(:, 1) - K >= 1 & Ptint1(:, 1) + K <= lgI1 ... + & Ptint1(:, 2) - K >= 1 & Ptint1(:, 2) + K <= htI1); + indptI2 = find(Ptint2(:, 1) - K >= 1 & Ptint2(:, 1) + K <= lgI2 ... + & Ptint2(:, 2) - K >= 1 & Ptint2(:, 2) + K <= htI2); + nbptintI1 = size(indptI1, 1); + nbptintI2 = size(indptI2, 1); + + % Determination du voisinage : vois1, vois2 matrices composees + % pour chaque ligne des niveaux de gris du voisinage du point + % Appel a la fonction voisinage + vois1 = voisinage(I1, Ptint1(indptI1, :), K); + vois2 = voisinage(I2, Ptint2(indptI2, :), K); + + % Nb Pixels par fenetre de correlation + NbPix = K * K; + % Calcul de tous les appariements possibles + [i1, i2] = meshgrid(1:nbptintI1, 1:nbptintI2); + i1 = i1(:); i2 = i2(:); + + % Pour les images I1 et I2 + % Moyenne des niveaux de gris du voisinage de chaque point + % Utilisation de mean + moy1 = mean(vois1, 2); + moy2 = mean(vois2, 2); + + % % Variance des niveaux de gris du voisinage de chaque point + % % Utilisation de var + var1 = var(vois1, 0, 2); + var2 = var(vois2, 0, 2); + + % Pour chaque combinaison de paires de points, la covariance + % entre les deux voisinages : le numerateur dans la formule ZNCC + cov = (vois1 - moy1) * (vois2 - moy2)' / NbPix; + + % Calcul du score de correlation : + % ajouter le denominateur dans la formule ZNCC + % (le produit des variances) + cor = cov ./ sqrt(var1 * var2'); + + % cor = 1 ./ pdist2(vois1, vois2); + + % Affectation a la matrice C + C(indptI1(i1) + (indptI2(i2) - 1) * nptI1) = cor'; + +end diff --git a/appliquerHomographie.m b/appliquerHomographie.m new file mode 100644 index 0000000..e117f25 --- /dev/null +++ b/appliquerHomographie.m @@ -0,0 +1,30 @@ +% Calcul des coordonnees (xy2) des points (xy1) +% apres application d'une homographique H + +function [xy2] = appliquerHomographie(H, xy1) + + % Entrees : + % + % H : matrice (3x3) de l'homographie + % xy1 : matrice (nbPoints x 2) representant les coordonnees + % (colonne 1 : les x, colonne 2 : les y) + % des nbPoints points auxquels H est appliquee + % + % Sortie : + % xy2 : coordonnees des points apres application de l'homographie + + % Nombre de points + N = size(xy1, 1); + + % Construction des coordonnees homogenes pour appliquer l'homographie + xy1_tild = [xy1, ones(N, 1)]; + + % Application de l'homographie + xy1_homo = H * xy1_tild'; + + % On retourne les coordonnees homogenes (x,y,1) + % Pour cela, il faut diviser par z + % Attention il ne faut garder que les deux premieres coordonnees + xy1_homo = xy1_homo ./ xy1_homo(3, :); + xy2 = xy1_homo(1:2, :)'; +end diff --git a/distance_homographie.m b/distance_homographie.m new file mode 100644 index 0000000..1519089 --- /dev/null +++ b/distance_homographie.m @@ -0,0 +1,14 @@ +function d = distance_homographie(XY1, XY2, H) + + Hinv = inv(H); + Hinv = Hinv ./ Hinv(3, 3); + + XY1_ = appliquerHomographie(H, XY1); + XY2_ = appliquerHomographie(Hinv, XY2); + + d1 = sum((XY1_ - XY2).^2, 2); + d2 = sum((XY2_ - XY1).^2, 2); + + d = d1 + d2; + +end diff --git a/harris.m b/harris.m new file mode 100644 index 0000000..e6ffdf2 --- /dev/null +++ b/harris.m @@ -0,0 +1,76 @@ +function [XY, R] = harris(Im, TailleFenetre, NbPoints, k) + %[XY,Res]=harris(Im,TailleFenetre,NbPoints,k); + % + % Im -> image + % TailleFenetre -> taille (impaire) de la fenetre du voisinage + % valeurs conseillees : entre 9 et 25 + % NbPoints -> nombre de points desires + % k -> poids utilise dans le calcul de la reponse R, k dans [0.04,0.06] + % XY -> Matrice de taille NbPointsx2 contenant + % respectivement les abscisses et les oordonnees des points + % d'interets extraits + % ATTENTION : La fonction de Harris ne doit pas retourner des points sur les bords + % R -> Image des reponses par le detecteur de Harris + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Nota bene : les coordonnees utilisees sont x=j (numero de colonne) et y=i (numero de ligne). % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + % Verification et correction eventuelle des parametres donnes + if nargin < 4, k = 0.05; end; + if nargin < 3, NbPoints = 50; end; + if nargin < 2, TailleFenetre = 9; end; + + % (1.1) Calcul des dérivées images suivant les lignes et les colonnes + % en utilisant la fonction gradient + Im = double(Im); + [Ii, Ij] = gradient(Im); + + % (1.2) Calcul du filtre de lissage gaussien + % Calcul de sigma en fonction de la taille de la fenetre + sig = (TailleFenetre - 1) / 4; + L = fspecial('gaussian', TailleFenetre, sig); + + % (1.3) Calcul de la reponse R + % Calcul des elements A, B et C puis calcul de la reponse suivant l'equation (1) + % Utiliser conv2 avec l'option 'same' pour appliquer le filtre de lissage L + A = conv2(Ii.^2, L, 'same'); + B = conv2(Ij.^2, L, 'same'); + C = conv2(Ii .* Ij, L, 'same'); + R = A .* B - C.^2 - k * (A + B).^2; + + % (2.1) Suppression des non-maxima locaux suivant l'equation (2) + % ATTENTION : il faut gérer le cas particulier des bords + % 1) Il est impossible de calculer le maximum local car une partie du voisinage n'existe pas + % 2) Il faut leur attribuer la valeur minimale afin qu'il ne soit pas selectionne par la suite + n2 = floor(TailleFenetre / 2); + [l, c] = size(Im); + Res = zeros(l, c); + + for i = (n2 + 1):(l - n2) + + for j = (n2 + 1):(c - n2) + + Res(i, j) = max(max(R(i - n2:i + n2, j - n2:j + n2))); + + if R(i, j) ~= Res(i, j) + Res(i, j) = 0; + end + + end + + end + + % (2.2) Selection des NbPoints en fonction de "NbPoints" reponses les plus fortes + % Tri des reponses : utiliser sort en LINEARISANT Res au préalable + [~, is] = sort(Res(:), 'descend'); + + % Selection des indices de NbPoints de plus fortes reponses + is = is(1:NbPoints); + + % Calcul des indices dans l'image + % Utiliser ind2sub, attention a l'ordre pour recuperer les coordonnees + [Y, X] = ind2sub([l, c], is); + XY = [X, Y]; + +end diff --git a/homographie.m b/homographie.m new file mode 100644 index 0000000..946ce5f --- /dev/null +++ b/homographie.m @@ -0,0 +1,49 @@ +% Estimation d'une matrice d'homographie H qui permet de passer d'une +% image I1 a une autre image I2 a partir de paires de points (homologues) +% +% H = [ h11 h12 h13 ; h21 h22 h23 ; h31 h32 h33 ] +% H possede 8 parametres independants. +% Chaque correspondance donne 2 equations. +% Ainsi pour estimer H, il faut au moins 4 paires de points. +% +% Il existe differentes manieres d'estimer H. +% Nous choisissons la resolution sous la contrainte ||h33|| = 1, +% au sens des moindres carres. + +function [H] = homographie(XY_C1, XY_C2) + % Entrees : + % + % XY_C1 : matrice (NbPointsx2) contenant les coordonnees des Nbpoints dans l'image I1 + % XY_C2 : matrice (NbPointsx2) contenant les coordonnees des Nbpoints HOMOLOGUES dans l'image I2 + % (colonne 1 : les x, colonne 2 : les y) + % + % Sortie : + % H : la matrice d'homographie estimee + + % Les parametres hij de la matrice d'homographie H sont ranges dans + % un vecteur : H = [ h11 ... h33 ]' tel que + % A * H = 0 + % avec A qui depend des coordonnees de paires homologues, cf. equation (2) + % A = ( XY_C1(1,1) XY_C1(1,2) 1 0 0 0 -XY_C1(1,1)*XY_C2(1,1) -XY_C1(1,2)*XY_C2(1,1) -XY_C2(1,1) + % 0 0 0 XY_C1(1,1) XY_C1(1,2) 1 -XY_C1(1,1)*XY_C2(1,2) -XY_C1(1,2)*XY_C2(1,2) -XY_C2(1,2) + % ... etc ... ) + + % Stocker dans une variable le nombre de points apparies + N = size(XY_C1, 1); + + % Construction des matrices/vecteurs utiles pour construire la matrice A + A = [ + XY_C1(:, 1:2), ones(N, 1), zeros(N, 3), -XY_C2(:, 1) .* XY_C1(:, 1), -XY_C2(:, 1) .* XY_C1(:, 2), -XY_C2(:, 1); + zeros(N, 3), XY_C1(:, 1:2), ones(N, 1), -XY_C2(:, 2) .* XY_C1(:, 1), -XY_C2(:, 2) .* XY_C1(:, 2), -XY_C2(:, 2) + ]; + + % Estimation des parametres de H par decomposition en valeurs singulieres + % Utiliser la fonction matlab svd : + % H est le vecteur propre associee a la plus petite valeur propre de A^TA + [~, ~, V] = svd(A' * A); + H = V(:, end); + + % Former la matrice H de taille 3x3 + H = reshape(H, 3, 3)'; + +end \ No newline at end of file diff --git a/im1.jpg b/im1.jpg new file mode 100644 index 0000000..a093794 Binary files /dev/null and b/im1.jpg differ diff --git a/im1.pgm b/im1.pgm new file mode 100644 index 0000000..54d722d --- /dev/null +++ b/im1.pgm @@ -0,0 +1,87 @@ +P5 +428 428 +255 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\ No newline at end of file diff --git a/mosaique.m b/mosaique.m new file mode 100644 index 0000000..2bc8479 --- /dev/null +++ b/mosaique.m @@ -0,0 +1,99 @@ +% Calcul d'une mosaique d'image à partir de 2 images : I1 et I2 +% connaissant l'homographie H entre les 2. +% L'image resultat est stockee dans Res. +% On choisit de projeter I2 dans I1 pour construire la mosaique. +% Attention !!! +% On suppose un axe de rotation parallèle aux colonnes. +% C'est la raison pour laquelle on inverse les lignes et les colonnes +% dans la reconstruction de la mosaique. + +function [Imos] = mosaique(I1, I2, H) + + % On recupere la taille des deux images. + [nblI1 nbcI1] = size(I1); + [nblI2 nbcI2] = size(I2); + + % On calcule l'homographie inverse, normalisee, + % pour nous permettre d'effectuer la transformation de I2 vers I1. + Hinv = inv(H); + Hinv = Hinv ./ Hinv(3, 3); + + % Calcul des dimensions de la mosaique. + % Calcul des quatre coins dans l'image 2. + % les coins de l'image 2 sont ranges en ligne selon : + % haut_gauche, haut_droit, bas_droit, bas gauche. + % Lignes et colonnes sont inversees. + xy_coinsI2_R2 = [1 1; nbcI2 1; nbcI2 nblI2; 1 nblI2]; + + % Application de l'homographie Hinv sur ces coins. + % Calcul des images des coins dans I1. + xy_coinsI2_R1 = appliquerHomographie(Hinv, xy_coinsI2_R2); + + % Determination des dimensions de l'image mosaique, + % les xmin ymin xmax ymax, ou : + % - xmin represente la plus petite abscisse parmi les abscisses des images + % des coins de I2 projetes dans I1 et les coins dans I1, + % - etc + % Lignes et colonnes sont inversees. + + xmin = min([xy_coinsI2_R1(:, 1)' 1]); + ymin = min([xy_coinsI2_R1(:, 2)' 1]); + xmax = max([xy_coinsI2_R1(:, 1)' nbcI1]); + ymax = max([xy_coinsI2_R1(:, 2)' nblI1]); + + % On arrondit de maniere a etre certain d'avoir les coordonnees initiales + % bien comprises dans l'image. + xmin = floor(xmin); + ymin = floor(ymin); + xmax = ceil(xmax); + ymax = ceil(ymax); + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % CONTRUCTION DE LA MOSAIQUE % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + % Calcul de la taille de la mosaique. + % Lignes et colonnes sont inversees. + nblImos = ymax - ymin + 1; + nbcImos = xmax - xmin + 1; + + Imos = zeros(nblImos, nbcImos); + + % Calcul de l'origine de l'image I1 dans le repere de la mosaique Imos. + O1x_Rmos = 1 - (xmin - 1); + O1y_Rmos = 1 - (ymin - 1); + + % Copie de l'image I1. + % Lignes et colonnes sont inversees. + Imos(O1y_Rmos:O1y_Rmos + nblI1 - 1, O1x_Rmos:O1x_Rmos + nbcI1 - 1) = I1; + + % Copie de l'image I2 transformee par l'homographie H. + for x = 1:nbcImos, + + for y = 1:nblImos, + % Calcul des coordonnees dans I1 connaissant les coordonnees du point origine de I1 dans Imos. + y_R1 = y - O1y_Rmos; + x_R1 = x - O1x_Rmos; + % Dans le repere attache a l'image I1, + % nous estimons les coordonnees du point image de (y_R1,x_R1) + % par l'homographie H : (xy_R2). + xy_R2 = appliquerHomographie(H, [x_R1 y_R1]); + + % Il existe plusieurs strategies, mais, ici, + % pour estimer les coordonnees (entieres) , + % on choisit : sans interpolation, le plus proche voisin. + x_R2 = round(xy_R2(1)); + y_R2 = round(xy_R2(2)); + + % On verifie que xy_R2 appartient bien a l'image I2 + % avant d'affecter cette valeur a Imos + % Lignes et colonnes sont inversees. + if (x_R2 >= 1 & x_R2 <= nbcI2 & y_R2 >= 1 & y_R2 <= nblI2) + Imos(y, x) = I2(y_R2, x_R2); + end + + end + + end + +end diff --git a/mosaiqueN.m b/mosaiqueN.m new file mode 100644 index 0000000..f5d2a72 --- /dev/null +++ b/mosaiqueN.m @@ -0,0 +1,57 @@ +% Calcul d'une mosaique d'image à partir de 2 images : I1 et I2 +% connaissant l'homographie H entre les 2. +% L'image resultat est stockee dans Res. +% On choisit de projeter I2 dans I1 pour construire la mosaique. +% Attention !!! +% On suppose un axe de rotation parallèle aux colonnes. +% C'est la raison pour laquelle on inverse les lignes et les colonnes +% dans la reconstruction de la mosaique. + +function [Imos] = mosaiqueN(TailleFenetre, NbPoints, k, seuil, varargin) + Imos = im2double(varargin{1}); + for i = 2:nargin - 4 + Im1 = Imos; + Im2 = im2double(varargin{i}); + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Detection des points d'interet avec Harris % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + Im1_gray = rgb2gray(Im1); + Im2_gray = rgb2gray(Im2); + XY_1 = harris(Im1_gray, TailleFenetre, NbPoints, k); + XY_2 = harris(Im2_gray, TailleFenetre, NbPoints, k); + + % affichage temporaire + figure; + affichage_POI(Im1,XY_1,'POI Image 1',1,2,1); + affichage_POI(Im2,XY_2,'POI Image 2',1,2,2); + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Appariement des points d'interet % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + [XY_C1, XY_C2] = apparier_POI(Im1_gray, XY_1, Im2_gray, XY_2, TailleFenetre, seuil); + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Estimation (et verification) de l'homographie % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + s = 4; + t = 0.999; + fitFuncHomo = @(XY) homographie(XY(:, 1:2), XY(:, 3:4)); + disFuncHomo = @(H, XY) distance_homographie(XY(:, 1:2), XY(:, 3:4), H); + [H, idx] = ransac([XY_C1, XY_C2], fitFuncHomo, disFuncHomo, s, t); + + figure('Name', 'Appariement des points d''interet RANSAC'); + affichage_appariement(Im1, XY_C1(idx, 1), XY_C1(idx, 2), 'Points d''interet Image 1', 1, 2, 1); + affichage_appariement(Im2, XY_C2(idx, 1), XY_C2(idx, 2), 'Points d''interet correspondants Image 2', 1, 2, 2); + + % https://github.com/hero9968/Multiple-View-Geometry-in-Computer-Vision/blob/master/vgg_examples/ransacfithomography_vgg.m + + %%%%%%%%%%%%%%%%%%%%%%%%%%% + % Collage des deux images % + %%%%%%%%%%%%%%%%%%%%%%%%%%% + Imos = mosaiquecoul(Im1, Im2, H); + figure; + affichage_image(Imos,'Mosaique obtenue a partir des 2 images initiales',1,1,1); + end + +end diff --git a/mosaiqueNbis.m b/mosaiqueNbis.m new file mode 100644 index 0000000..2349bb3 --- /dev/null +++ b/mosaiqueNbis.m @@ -0,0 +1,71 @@ +% Calcul d'une mosaique d'image à partir de 2 images : I1 et I2 +% connaissant l'homographie H entre les 2. +% L'image resultat est stockee dans Res. +% On choisit de projeter I2 dans I1 pour construire la mosaique. +% Attention !!! +% On suppose un axe de rotation parallèle aux colonnes. +% C'est la raison pour laquelle on inverse les lignes et les colonnes +% dans la reconstruction de la mosaique. + +function [Imos] = mosaiqueNbis(TailleFenetre, NbPoints, k, seuil, imref, varargin) + homos = cell(1, length(varargin)); + homos(1) = {eye(3)}; + for i = 1:length(varargin) - 1 + Im1 = im2double(varargin{i}); + Im2 = im2double(varargin{i+1}); + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Detection des points d'interet avec Harris % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + Im1_gray = rgb2gray(Im1); + Im2_gray = rgb2gray(Im2); + XY_1 = harris(Im1_gray, TailleFenetre, NbPoints, k); + XY_2 = harris(Im2_gray, TailleFenetre, NbPoints, k); + + % affichage temporaire + figure; + affichage_POI(Im1,XY_1,'POI Image 1',1,2,1); + affichage_POI(Im2,XY_2,'POI Image 2',1,2,2); + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Appariement des points d'interet % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + [XY_C1, XY_C2] = apparier_POI(Im1_gray, XY_1, Im2_gray, XY_2, TailleFenetre, seuil); + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Estimation (et verification) de l'homographie % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % https://github.com/hero9968/Multiple-View-Geometry-in-Computer-Vision/blob/master/vgg_examples/ransacfithomography_vgg.m + s = 4; + t = 0.999; + fitFuncHomo = @(XY) homographie(XY(:, 1:2), XY(:, 3:4)); + disFuncHomo = @(H, XY) distance_homographie(XY(:, 1:2), XY(:, 3:4), H); + [H, idx] = ransac([XY_C1, XY_C2], fitFuncHomo, disFuncHomo, s, t); + % XY = [XY_C1, XY_C2]; + % H = homographie(XY(:, 1:2), XY(:, 3:4)); + homos(i + 1) = {H}; + + figure('Name', 'Appariement des points d''interet RANSAC'); + affichage_appariement(Im1, XY_C1(idx, 1), XY_C1(idx, 2), 'Points d''interet Image 1', 1, 2, 1); + affichage_appariement(Im2, XY_C2(idx, 1), XY_C2(idx, 2), 'Points d''interet correspondants Image 2', 1, 2, 2); + + end + + homos_to_ref = cell(1, length(varargin)); + homos_to_ref(imref) = {eye(3)}; + homos_tmp = eye(3); + for i = imref-1:-1:1 + homos_tmp = homos_tmp / homos{i + 1}; + homos_to_ref(i) = {homos_tmp}; + end + homos_tmp = eye(3); + for i = imref+1:length(varargin) + homos_tmp = homos_tmp * homos{i}; + homos_to_ref(i) = {homos_tmp}; + end + + %%%%%%%%%%%%%%%%%%%%%% + % Collage des images % + %%%%%%%%%%%%%%%%%%%%%% + Imos = mosaiqueter2(homos_to_ref, varargin); + imwrite(Imos, "test.png"); \ No newline at end of file diff --git a/mosaiquebis.m b/mosaiquebis.m new file mode 100644 index 0000000..aa416b8 --- /dev/null +++ b/mosaiquebis.m @@ -0,0 +1,125 @@ +% Calcul d'une mosaique d'image à partir de 2 images : I1 et I2 +% connaissant l'homographie H entre les 2. +% L'image resultat est stockee dans Res. +% On choisit de projeter I2 dans I1 pour construire la mosaique. +% Attention !!! +% On suppose un axe de rotation parallèle aux colonnes. +% C'est la raison pour laquelle on inverse les lignes et les colonnes +% dans la reconstruction de la mosaique. + +function [Imos] = mosaiquebis(I1, I2, H) + + % On recupere la taille des deux images. + [nblI1 nbcI1] = size(I1); + [nblI2 nbcI2] = size(I2); + + % On calcule l'homographie inverse, normalisee, + % pour nous permettre d'effectuer la transformation de I2 vers I1. + Hinv = inv(H); + Hinv = Hinv ./ Hinv(3, 3); + + % Calcul des dimensions de la mosaique. + % Calcul des quatre coins dans l'image 2. + % les coins de l'image 2 sont ranges en ligne selon : + % haut_gauche, haut_droit, bas_droit, bas gauche. + % Lignes et colonnes sont inversees. + xy_coinsI2_R2 = [1 1; nbcI2 1; nbcI2 nblI2; 1 nblI2]; + + % Application de l'homographie Hinv sur ces coins. + % Calcul des images des coins dans I1. + xy_coinsI2_R1 = appliquerHomographie(Hinv, xy_coinsI2_R2); + + % Determination des dimensions de l'image mosaique, + % les xmin ymin xmax ymax, ou : + % - xmin represente la plus petite abscisse parmi les abscisses des images + % des coins de I2 projetes dans I1 et les coins dans I1, + % - etc + % Lignes et colonnes sont inversees. + + xmin = min([xy_coinsI2_R1(:, 1)' 1]); + ymin = min([xy_coinsI2_R1(:, 2)' 1]); + xmax = max([xy_coinsI2_R1(:, 1)' nbcI1]); + ymax = max([xy_coinsI2_R1(:, 2)' nblI1]); + + % On arrondit de maniere a etre certain d'avoir les coordonnees initiales + % bien comprises dans l'image. + xmin = floor(xmin); + ymin = floor(ymin); + xmax = ceil(xmax); + ymax = ceil(ymax); + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % CONTRUCTION DE LA MOSAIQUE % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + % Calcul de la taille de la mosaique. + % Lignes et colonnes sont inversees. + nblImos = ymax - ymin + 1; + nbcImos = xmax - xmin + 1; + + Imos = zeros(nblImos, nbcImos); + + % Calcul de l'origine de l'image I1 dans le repere de la mosaique Imos. + O1x_Rmos = 1 - (xmin - 1); + O1y_Rmos = 1 - (ymin - 1); + + % Copie de l'image I1. + % Lignes et colonnes sont inversees. + Imos(O1y_Rmos:O1y_Rmos + nblI1 - 1, O1x_Rmos:O1x_Rmos + nbcI1 - 1) = I1; + + % Copie de l'image I2 transformee par l'homographie H. + for x = 1:nbcImos + + for y = 1:nblImos + % Calcul des coordonnees dans I1 connaissant les coordonnees du point origine de I1 dans Imos. + y_R1 = y - O1y_Rmos; + x_R1 = x - O1x_Rmos; + d1 = min([nbcI1 - x_R1, nblI1 - y_R1, x_R1, y_R1]); + + % Dans le repere attache a l'image I1, + % nous estimons les coordonnees du point image de (y_R1,x_R1) + % par l'homographie H : (xy_R2). + xy_R2 = appliquerHomographie(H, [x_R1 y_R1]); + + % Il existe plusieurs strategies, mais, ici, + % pour estimer les coordonnees (entieres) , + % on choisit : sans interpolation, le plus proche voisin. + x_R2 = round(xy_R2(1)); + y_R2 = round(xy_R2(2)); + d2 = min([nbcI2 - x_R2, nblI2 - y_R2, x_R2, y_R2]); + + % calcul des poids de l'interpolation. + if d1 <= 0 || all(I1(y_R1, x_R1) == 0) + d1 = 0; + end + if d2 <= 0 || all(I2(y_R2, x_R2) == 0) + d2 = 0; + end + if d1 == 0 && d2 == 0 + p1 = 0; + p2 = 0; + else + p1 = d1 / (d1 + d2); + p2 = d2 / (d1 + d2); + end + + % On verifie que xy_R2 appartient bien a l'image I2 + % avant d'affecter cette valeur a Imos + % Lignes et colonnes sont inversees. + if p1 ~= 0 + t1 = p1 * I1(y_R1, x_R1); + else + t1 = 0; + end + if p2 ~= 0 + t2 = p2 * I2(y_R2, x_R2); + else + t2 = 0; + end + Imos(y, x) = t1 + t2; + + end + + end + +end diff --git a/mosaiquecoul.m b/mosaiquecoul.m new file mode 100644 index 0000000..f00c49c --- /dev/null +++ b/mosaiquecoul.m @@ -0,0 +1,19 @@ +% Calcul d'une mosaique d'image à partir de 2 images : I1 et I2 +% connaissant l'homographie H entre les 2. +% L'image resultat est stockee dans Res. +% On choisit de projeter I2 dans I1 pour construire la mosaique. +% Attention !!! +% On suppose un axe de rotation parallèle aux colonnes. +% C'est la raison pour laquelle on inverse les lignes et les colonnes +% dans la reconstruction de la mosaique. + +function [Imos] = mosaiquecoul(I1, I2, H) + + c = size(I1, 3); + + Imos = []; + for i = 1:c + Imos = cat(3, Imos, mosaiquebis(I1(:,:,i), I2(:,:,i), H)); + end + +end \ No newline at end of file diff --git a/mosaiqueter.m b/mosaiqueter.m new file mode 100644 index 0000000..1c845d8 --- /dev/null +++ b/mosaiqueter.m @@ -0,0 +1,138 @@ +% Calcul d'une mosaique d'image à partir de 2 images : I1 et I2 +% connaissant l'homographie H entre les 2. +% L'image resultat est stockee dans Res. +% On choisit de projeter I2 dans I1 pour construire la mosaique. +% Attention !!! +% On suppose un axe de rotation parallèle aux colonnes. +% C'est la raison pour laquelle on inverse les lignes et les colonnes +% dans la reconstruction de la mosaique. + +function [Imos] = mosaiqueter(homos, imgs) + + % On recupere la taille des deux images. + Iref = im2double(imgs{1}); + [nblIref, nbcIref, nc] = size(Iref); + + xmin = Inf; + ymin = Inf; + xmax = -Inf; + ymax = -Inf; + + for k=1:length(imgs) + [nblIk, nbcIk, ~] = size(imgs{k}); + + % On calcule l'homographie inverse, normalisee, + % pour nous permettre d'effectuer la transformation de I2 vers I1. + Hinv = inv(homos{k}); + Hinv = Hinv ./ Hinv(3, 3); + + % On calcule les coordonnees des 4 coins de I2 dans I1. + xy_coinsIk_Rk = [1 1; nbcIk 1; nbcIk nblIk; 1 nblIk]; + + % Application de l'homographie Hinv sur ces coins. + % Calcul des images des coins dans I1. + xy_coinsIk_Rref = appliquerHomographie(Hinv, xy_coinsIk_Rk); + + % Determination des dimensions de l'image mosaique, + % les xmin ymin xmax ymax, ou : + % - xmin represente la plus petite abscisse parmi les abscisses des images + % des coins de I2 projetes dans I1 et les coins dans I1, + % - etc + % Lignes et colonnes sont inversees. + xmin = min([xy_coinsIk_Rref(:, 1)' xmin]); + ymin = min([xy_coinsIk_Rref(:, 2)' ymin]); + xmax = max([xy_coinsIk_Rref(:, 1)' xmax]); + ymax = max([xy_coinsIk_Rref(:, 2)' ymax]); + end + + % On arrondit de maniere a etre certain d'avoir les coordonnees initiales + % bien comprises dans l'image. + xmin = floor(xmin); + ymin = floor(ymin); + xmax = ceil(xmax); + ymax = ceil(ymax); + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % CONTRUCTION DE LA MOSAIQUE % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + % Calcul de la taille de la mosaique. + % Lignes et colonnes sont inversees. + nblImos = ymax - ymin + 1; + nbcImos = xmax - xmin + 1; + + Imos = zeros(nblImos, nbcImos, nc); + + % Calcul de l'origine de l'image I1 dans le repere de la mosaique Imos. + O1x_Rmos = 1 - (xmin - 1); + O1y_Rmos = 1 - (ymin - 1); + + % Copie de l'image I1. + % Lignes et colonnes sont inversees. + Imos(O1y_Rmos:O1y_Rmos + nblIref - 1, O1x_Rmos:O1x_Rmos + nbcIref - 1, :) = Iref; + + % Copie de l'image I2 transformee par l'homographie H. + for x = 1:nbcImos + fprintf('%d/%d\r', x, nbcImos); + for y = 1:nblImos + % Calcul des coordonnees dans I1 connaissant les coordonnees du point origine de I1 dans Imos. + y_Rref = y - O1y_Rmos; + x_Rref = x - O1x_Rmos; + + distances = zeros(1, length(imgs)); + + dref = min([nbcIref - x_Rref, nblIref - y_Rref, x_Rref, y_Rref]); + if dref <= 0 || all(Iref(y_Rref, x_Rref, :) == 0) + dref = 0; + end + distances(1) = dref; + + % Dans le repere attache a l'image I1, + % nous estimons les coordonnees du point image de (y_R1,x_R1) + % par l'homographie H : (xy_R2). + xy_Rs = zeros(length(imgs), 2); + xy_Rs(1,:) = [x_Rref y_Rref]; + for k = 1:length(imgs) + + xy_Rk = appliquerHomographie(homos{k}, [x_Rref y_Rref]); + xy_Rs(k,:) = round(xy_Rk); + % Il existe plusieurs strategies, mais, ici, + % pour estimer les coordonnees (entieres) , + % on choisit : sans interpolation, le plus proche voisin. + x_Rk = round(xy_Rk(1)); + y_Rk = round(xy_Rk(2)); + [nblIk, nbcIk, ~] = size(imgs{k}); + dk = min([nbcIk - x_Rk, nblIk - y_Rk, x_Rk, y_Rk]); + + if dk <= 0 || all(imgs{k}(y_Rk, x_Rk, :) == 0) + dk = 0; + end + + distances(k) = dk; + end + + poids = zeros(1, length(imgs)); + if sum(distances) ~= 0 + poids = distances / sum(distances); + poids = max(poids, 0); + end + + % On verifie que xy_R2 appartient bien a l'image I2 + % avant d'affecter cette valeur a Imos + % Lignes et colonnes sont inversees. + ts = zeros(length(imgs), 3); + for k = 1:length(imgs) + if poids(k) ~= 0 + ts(k, :) = poids(k) * double(imgs{k}(xy_Rs(k,2), xy_Rs(k,1), :)) / 255; + else + ts(k, :) = [0 0 0]; + end + end + Imos(y, x, :) = sum(ts, 1); + + end + + end + fprintf('\n'); + +end diff --git a/mosaiqueter2.m b/mosaiqueter2.m new file mode 100644 index 0000000..ddbdb7d --- /dev/null +++ b/mosaiqueter2.m @@ -0,0 +1,123 @@ +% Calcul d'une mosaique d'image à partir de 2 images : I1 et I2 +% connaissant l'homographie H entre les 2. +% L'image resultat est stockee dans Res. +% On choisit de projeter I2 dans I1 pour construire la mosaique. +% Attention !!! +% On suppose un axe de rotation parallèle aux colonnes. +% C'est la raison pour laquelle on inverse les lignes et les colonnes +% dans la reconstruction de la mosaique. + +function [Imos] = mosaiqueter2(homos, imgs) + + xmin = Inf; + ymin = Inf; + xmax = -Inf; + ymax = -Inf; + + for k=1:length(imgs) + [nblIk, nbcIk, ~] = size(imgs{k}); + + % On calcule l'homographie inverse, normalisee, + % pour nous permettre d'effectuer la transformation de I2 vers I1. + Hinv = inv(homos{k}); + Hinv = Hinv ./ Hinv(3, 3); + + % On calcule les coordonnees des 4 coins de I2 dans I1. + xy_coinsIk_Rk = [1 1; nbcIk 1; nbcIk nblIk; 1 nblIk]; + + % Application de l'homographie Hinv sur ces coins. + % Calcul des images des coins dans I1. + xy_coinsIk_Rref = appliquerHomographie(Hinv, xy_coinsIk_Rk); + + % Determination des dimensions de l'image mosaique, + % les xmin ymin xmax ymax, ou : + % - xmin represente la plus petite abscisse parmi les abscisses des images + % des coins de I2 projetes dans I1 et les coins dans I1, + % - etc + % Lignes et colonnes sont inversees. + xmin = min([xy_coinsIk_Rref(:, 1)' xmin]); + ymin = min([xy_coinsIk_Rref(:, 2)' ymin]); + xmax = max([xy_coinsIk_Rref(:, 1)' xmax]); + ymax = max([xy_coinsIk_Rref(:, 2)' ymax]); + end + + % On arrondit de maniere a etre certain d'avoir les coordonnees initiales + % bien comprises dans l'image. + xmin = floor(xmin); + ymin = floor(ymin); + xmax = ceil(xmax); + ymax = ceil(ymax); + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % CONTRUCTION DE LA MOSAIQUE % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + % Calcul de la taille de la mosaique. + % Lignes et colonnes sont inversees. + nblImos = ymax - ymin + 1; + nbcImos = xmax - xmin + 1; + + % Calcul de l'origine de l'image I1 dans le repere de la mosaique Imos. + O1x_Rmos = 1 - (xmin - 1); + O1y_Rmos = 1 - (ymin - 1); + + % Copie de l'image I2 transformee par l'homographie H. + Imos = []; + n_bloc = 4; + bloc_size = floor(nblImos*nbcImos/n_bloc); + for i = 1:n_bloc + fprintf('%d/%d\r', i, n_bloc); + [y, x] = ind2sub([nblImos, nbcImos], i*bloc_size+1:bloc_size*(i+1)); + y = y'; + x = x'; + + distances = zeros(bloc_size, length(imgs)); + + % Calcul des coordonnees dans I1 connaissant les coordonnees du point origine de I1 dans Imos. + y_Rref = y - O1y_Rmos; + x_Rref = x - O1x_Rmos; + + % Dans le repere attache a l'image I1, + % nous estimons les coordonnees du point image de (y_R1,x_R1) + % par l'homographie H : (xy_R2). + xy_Rs = zeros(bloc_size, length(imgs), 2); + xy_Rs(:, 1, :) = [x_Rref y_Rref]; + for k = 1:length(imgs) + + xy_Rk = appliquerHomographie(homos{k}, [x_Rref y_Rref]); + xy_Rs(:,k,:) = round(xy_Rk); + % Il existe plusieurs strategies, mais, ici, + % pour estimer les coordonnees (entieres) , + % on choisit : sans interpolation, le plus proche voisin. + x_Rk = round(xy_Rk(:,1)); + y_Rk = round(xy_Rk(:,2)); + [nblIk, nbcIk, ~] = size(imgs{k}); + + dk = min([nbcIk - x_Rk, nblIk - y_Rk, x_Rk, y_Rk], [], 2); + dk(dk < 0) = 0; + + distances(:,k) = dk; + end + + poids = distances ./ sum(distances, 2); + poids(isnan(poids)) = 0; + poids(:) = max(poids(:), 0); + + % On verifie que xy_R2 appartient bien a l'image I2 + % avant d'affecter cette valeur a Imos + % Lignes et colonnes sont inversees. + ts = zeros(bloc_size, length(imgs), 3); + for k = 1:length(imgs) + imgk = im2double(imgs{k}); + [nblIk, nbcIk, ~] = size(imgk); + imgk = reshape(imgk, nblIk*nbcIk, 3); + + valid_pixels = (xy_Rs(:,k,1) >= 1) & (xy_Rs(:,k,1) <= nbcIk) & (xy_Rs(:,k,2) >= 1) & (xy_Rs(:,k,2) <= nblIk); + ts(valid_pixels, k, :) = poids(valid_pixels,k) .* imgk(sub2ind([nblIk, nbcIk], xy_Rs(valid_pixels,k,2), xy_Rs(valid_pixels,k,1)), :); + end + Imos = cat(1, Imos, sum(ts, 2)); + end + Imos = cat(1, Imos, zeros(nblImos*nbcImos - size(Imos, 1), 1, 3)); + Imos = reshape(Imos, nblImos, nbcImos, 3); + fprintf('\n'); +end diff --git a/plot_points.m b/plot_points.m new file mode 100644 index 0000000..5f1eff9 --- /dev/null +++ b/plot_points.m @@ -0,0 +1,16 @@ +function plot_points(XY,NbPoints,motif); +% Affichage de points numerotes sur une image. +% Cet affichage est superpose a la fenetre courante. +% I-> vecteur colonne des numeros de lignes des points +% J-> vecteur colonne des numeros de colonnes des points +% NbPoints -> nombre de points a afficher +% si ce parametre est absent, tous les points seront affiches +% motif -> motif utilise pour l'affichage + +if nargin < 3, NbPoints=length(I); end; + +hold on; +for p=1:NbPoints + plot(XY(p,1),XY(p,2),motif,'MarkerEdgeColor','r','MarkerFaceColor','r','MarkerSize',10); +end +hold off; diff --git a/sweet1.pgm b/sweet1.pgm new file mode 100644 index 0000000..fa897b8 --- /dev/null +++ b/sweet1.pgm @@ -0,0 +1,494 @@ +P5 +800 600 +255 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