From 1ad0ccb7c6d8ba5c59407127194beebfb1a51eb9 Mon Sep 17 00:00:00 2001 From: "Crom (Thibaut CHARLES)" Date: Sun, 22 Mar 2015 16:19:31 +0100 Subject: [PATCH] Boulo thomas --- bateau_medianSobel.PNG | Bin 0 -> 87077 bytes bateau_sobel.PNG | Bin 0 -> 95905 bytes bateaux_noise.PNG | Bin 0 -> 96669 bytes detail_315deg.PNG | Bin 0 -> 41737 bytes detail_45deg.PNG | Bin 0 -> 54189 bytes detail_horiz.PNG | Bin 0 -> 53885 bytes detail_orig.PNG | Bin 0 -> 88496 bytes detail_vertical.PNG | Bin 0 -> 52453 bytes rapport.md | 80 +++++++++++++++++++++++++++++++++---- redCoq2_orig.PNG | Bin 0 -> 119628 bytes redCoq2_sobel.PNG | Bin 0 -> 126538 bytes redCoq2_sobelThreshold.PNG | Bin 0 -> 9173 bytes 12 files changed, 72 insertions(+), 8 deletions(-) create mode 100644 bateau_medianSobel.PNG create mode 100644 bateau_sobel.PNG create mode 100644 bateaux_noise.PNG create mode 100644 detail_315deg.PNG create mode 100644 detail_45deg.PNG create mode 100644 detail_horiz.PNG create mode 100644 detail_orig.PNG 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z&mER$!H$wrEc|f;+syfxLI%6_*}m)FLWQ%)#s&Fw7L#JSycK6-NdD^CxEA-#Wkr0m zZTWT+hI0dCXV|+*^3C6D+cq9+6*aq!*`mJ}1LJtiTb~|~^JJgE=Ss;hSIgFdbsMkW z1>4El!;(%^XJd6-wgZ?#H5Xr51Y6ftSOdTlp6zZ`jfpm2J7(h_ZDCL#X_I1 zuJ-9eJLRrj#$=qnWaF(ynp;1L4Liv)wvkq@KE2t;E;6#mI60@y3vwI)Rz`8Yl z*PV1@PT2I?=Ahda!P#}>NQli?VzyXd|BsIkbU6fax{WMwej^_*dF;2bJ6M3PtqEj8 zcL#KO7SONno+XeTHuFWh1y)S-+khc@{1rg+#TwA9Ka<}$-SnZAS1mbc=Ar|7x)m<{ zt#5v9X#Lu-^NXeDH~XT~1;)i8+ZyLjK15%z|B($)JmsI9E*>|;`v~cGp|a`uMIQae zY*FWU&N#m%8>(rx+C%w`u4d`D`8sj=apDjD;1B*E@Sp$w1=)yWa +> L'image est bien "adoucie" (smooth), on note que les fréquences élevées sont filtrées. #### Sharpen ![](moly_orig.PNG)![](moly_sharpen.PNG) ![](freq_moly_orig.PNG)![](freq_moly_sharpen.PNG) +> On a ici rendu l'image plus "affutée" (sharpen), on distingue mieux les contours : en effet, les hautes fréquences sont plus présentes que dans l'image originale. #### Shadows ![](moly_orig.PNG)![](moly_shadow.PNG) ![](freq_moly_orig.PNG)![](freq_moly_shadow.PNG) +> A la manière de la fonction sharpen, des hautes fréquences sont ajoutées. A cela s'ajoute l'apparition d'ombres au niveau des changements de couleur (zones responsables des hautes fréquences de l'image) #### Convolution @@ -183,29 +186,34 @@ Exercice 1 : Filtrage linéaire bidimensionnel non récursif dans le domaine spa ![](TestConvolve_orig.PNG)![](TestConvolve_customkernel.PNG) -> La convolution est correcte +> La convolution est correcte : il s'agit bien d'une détection de contour. ##### Flou Gaussien ![](moly_orig.PNG)![](moly_gaussien.PNG) ![](freq_moly_orig.PNG)![](freq_moly_gaussien.PNG) +> Ce filtre effectue une moyenage de l'intensité avec les intensités environnantes, d'où l'effet de flou : les contours sont adoucis, les hautes fréquences atténuées. ##### Gradient N ![](moly_orig.PNG)![](moly_gradientN.PNG) ![](freq_moly_orig.PNG)![](freq_moly_gradientN.PNG) +> Ce filtre effectue une forme de détection de contour par sa forme (sur la verticale) et in intensification des couleurs (par sa forme sur l'horizontale) : +``` +-1 -2 -1 +0 0 0 +1 2 1 +``` +D'où d'effet d'ombre et les intensités de couleur plus tranchantes. ##### Laplacien ![](moly_orig.PNG)![](moly_laplacien.PNG) ![](freq_moly_orig.PNG)![](freq_moly_laplacien.PNG) - -### Commentaires - -- +> Cette convolution soustrait à chaque pixel les intensités (pondérées) des pixels environnants, d'où l'intensification des intensités (plus sombre ou plus clair que l'original). @@ -218,6 +226,7 @@ Exercice 2 : Filtres non-linéaires bidimensionnels, les filtres médians ### Moyenne ![](cornee_orig.PNG)![](cornee_mean.PNG) +> Les deux filtres, moyenneur et median, ne laissent pas apparaitre de différence entre les deux images. Cependant, les représentations fréquentielles laissent apparaitre des différences : le filtre median semble filtrer plus de fréquences (hautes) que le filtre mean. ### Bateau, Salt and Pepper ![](bateau_orig.PNG)![](bateau_saltandpepper.PNG) @@ -227,13 +236,60 @@ Exercice 2 : Filtres non-linéaires bidimensionnels, les filtres médians #### Moyenne, taille 3 ![](bateau_saltandpepper.PNG)![](bateau_saltandpepper_mean3.PNG) - +> On constate que les filtres moyenneur et median, ont rendu le bruit moins visible. Cependant, le filtre ayant le mieux fait disparaitre le bruit, à savoir le filtre median, à également été le plus destructif : l'image originale est moins reconnaissable qu'avec le filtre moyenneur. Exercice 3 : Introduction à la détection de contours ------------------------------------------------------------------------------- +Pour détecter un contour avec un masque 1x3, un masque (-x, 0, x) peut être utilisé, avec x l'intensité du contour en fonction de la différence d'intensité des pixels environnant : une zone homogène donnera un résultat nul alors qu'un changement d'intensité donnera une valeur positive ou nulle en fonction de la transition et de la valeur de x : +* si x>=1, un passage de clair à gauche vers sombre à droite donnera une valeur non nulle, les autres changements donnant une valeur nulle. +* si x<=-1, un passage de sombre à gauche vers clair à droite donnera une valeur non nulle, les autres changements donnant une valeur nulle. +* Si l'on suit cette logique, le filtre 1x3 proposé précement peut être transformé en filtre 3x3 suivant : +``` +0 0 0 +x 0 -x +0 0 0 +``` +Ce filtre détecte toujours les discontinuités horisontales. +![](detail_horiz.PNG) +* Pour une discontinuité verticale : +``` +0 x 0 +0 0 0 +0 -x 0 +``` +![](detail_vertical.PNG) +> Pour une discontinuité oblique, deux solution, suivant l'angle de la discontinuité : + +* 45° : +``` +x 0 0 +0 0 0 +0 0 -x +``` +![](detail_45deg.PNG) + +* 315° (-45°) : +``` +0 0 -x +0 0 0 +x 0 0 +``` +![](detail_315deg.PNG) + +#### Sobel + médian +![](bateau_noise.PNG)![](bateau_sobel.PNG)[](bateau_medianSobel.PNG) + +#### Médian, taille 3 +![](bateau_saltandpepper.PNG)![](bateau_saltandpepper_median3.PNG) + +> L'image traitée aven un filtre médian est contient moins de bruit, même l'image avec le traitement du filtre de Sobel. Le traitement du filtre de Sobel fait bien, avec au filtre médian, une détection des contours (sans orientation comme dans les premiers exemples de cet exercice). + +#### Red_COQ2 +![](redCoq2_orig.PNG)![](redCoq2_sobel.PNG)![](redCoq2_redCoq2_sobelThreshold.PNG) +> Le filtre de sobel a fait ressortir les contours des cellules, et le seuillage a éliminé les parties trop claires. Il ne reste alors que les cellules et les impuretés (leur contour est lui aussi ressorti). Partie II : Morphologie Mathématique @@ -279,7 +335,7 @@ Traitement d'images binaires On prend une forme de base, puis on le dilate beaucoup. -> Dilatation circulaire / rectangulaire +> On remarque que la dilatation se fait en utilisant un élément carré ![](binary_dilate_cercle.PNG)![](binary_dilate_rectangle.PNG) @@ -343,13 +399,17 @@ Morphologie décimale > Approximation des contours via érosion ![](Cornee_erodeCercle1_approxContour.PNG) +> On constate que l'on peut détecter les contour des cellules, cependant le centre des celules (noyaux) ressort lui aussi par cette technique. + ### Gradient morphologique > Originale / Gradient de Sobel ![](babouin_orig.PNG)![](babouin_sobel.PNG) > Originale / Dilatée / Érodée / Gradient morphologique -![](babouin_orig.PNG)![](babouin_dilate2cercle.PNG)![](babouin_erosion2cercle.PNG)![](babouin_sobel.PNG) +![](babouin_orig.PNG)![](babouin_dilate2cercle.PNG)![](babouin_erosion2cercle.PNG)![](babouin_gradientmorpho.PNG) + +> Le filtre de sobel effectue une meilleur détection des contours que le gradient morphologiue (contours plus flous). ### Filtrage morphologique @@ -362,6 +422,8 @@ Morphologie décimale > Originale / ... / Ouverture ![](babouin_orig.PNG)![](babouin_ouverture1.PNG)![](babouin_diffOuverture.PNG) +> Faire la différence entre la fermeture/ouverture et l'originale donne des détecions de contours avec moins d'intensité que le filtre de sobel, mais semblent avoir plus de détails dans les zones ayant beaucoup de contours (zones de poils par exemple) et moins de détails dans les zones avec moins de sontours à détecter (yeux par exemple) qu'avec Sobel. + Exercices d'application ------------------------------------------------------------------------------- @@ -375,6 +437,8 @@ Exercices d'application > Originale / Binarisation / Érosion / Dilatation / Comptage ![](meb_orig.PNG)![](meb_binary.PNG)![](meb_erodeCercle2.PNG)![](meb_dilate4.PNG)![](meb_countIs407.PNG) +> On supprime bien els grosses billes, mais il reste 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