From 2e6e7312eb80872ae95dbd4b6c2b2e2ac27eb2dd Mon Sep 17 00:00:00 2001 From: "Crom (Thibaut CHARLES)" Date: Thu, 19 Mar 2015 17:55:15 +0100 Subject: [PATCH] FUCKING FIRST COMMIT --- Cornee_erodeCercle1_approxContour.PNG | Bin 0 -> 11511 bytes TestConvolve_customkernel.PNG | Bin 0 -> 1745 bytes TestConvolve_orig.PNG | Bin 0 -> 1692 bytes babouin_diffFermeture.PNG | Bin 0 -> 63908 bytes babouin_diffOuverture.PNG | Bin 0 -> 64509 bytes babouin_dilate2cercle.PNG | Bin 0 -> 49403 bytes babouin_erosion2cercle.PNG | Bin 0 -> 49451 bytes babouin_fermeture1.PNG | Bin 0 -> 63398 bytes babouin_gradientmorpho.PNG | Bin 0 -> 63381 bytes babouin_orig.PNG | Bin 0 -> 91546 bytes babouin_ouverture1.PNG | Bin 0 -> 55986 bytes babouin_sobel.PNG | Bin 0 -> 95989 bytes bateau_orig.PNG | Bin 0 -> 72732 bytes bateau_saltandpepper.PNG | Bin 0 -> 73511 bytes bateau_saltandpepper_mean3.PNG | Bin 0 -> 69507 bytes bateau_saltandpepper_median3.PNG | Bin 0 -> 50722 bytes binary_dilate_cercle.PNG | Bin 0 -> 1611 bytes binary_dilate_rectangle.PNG | Bin 0 -> 1055 bytes cafe_binary.PNG | Bin 0 -> 4032 bytes cafe_count.PNG | Bin 0 -> 5563 bytes cafe_dilateCercle2.PNG | Bin 0 -> 3530 bytes cafe_erodeCercle3.PNG | Bin 0 -> 2885 bytes cafe_orig.PNG | Bin 0 -> 50963 bytes cercle_dilate_carre.PNG | Bin 0 -> 1571 bytes cercle_dilate_cercle.PNG | Bin 0 -> 1694 bytes cercle_dilate_hexa.PNG | Bin 0 -> 1692 bytes cercle_erode_carre.PNG | Bin 0 -> 1477 bytes cercle_erode_cercle.PNG | Bin 0 -> 1501 bytes cercle_erode_hexa.PNG | Bin 0 -> 1504 bytes cercle_orig.PNG | Bin 0 -> 1568 bytes circuit_2_binary.PNG | Bin 0 -> 3708 bytes circuit_2_color.PNG | Bin 0 -> 56301 bytes circuit_2_dilate.PNG | Bin 0 -> 4482 bytes circuit_2_erode.PNG | Bin 0 -> 3597 bytes circuit_diff.PNG | Bin 0 -> 4523 bytes circuit_erode.PNG | Bin 0 -> 3031 bytes circuit_horiz1.PNG | Bin 0 -> 1547 bytes circuit_horiz2.PNG | Bin 0 -> 834 bytes circuit_orig.PNG | Bin 0 -> 3383 bytes circuit_pastilles_erodeCercle4.PNG | Bin 0 -> 1732 bytes ...t_pastilles_erodeCercle4_dilateCercle4.PNG | Bin 0 -> 2461 bytes circuit_pistes.PNG | Bin 0 -> 2471 bytes cornee_erosion8hexa.PNG | Bin 0 -> 24740 bytes cornee_mean.PNG | Bin 0 -> 39422 bytes cornee_median.PNG | Bin 0 -> 30521 bytes cornee_orig.PNG | Bin 0 -> 52365 bytes cornee_substractErosion.PNG | Bin 0 -> 58714 bytes cornee_substractbinary.PNG | Bin 0 -> 13706 bytes freq_bateau_orig.PNG | Bin 0 -> 82424 bytes freq_bateau_saltandpepper.PNG | Bin 0 -> 81579 bytes freq_bateau_saltandpepper_mean3.PNG | Bin 0 -> 82294 bytes freq_bateau_saltandpepper_median3.PNG | Bin 0 -> 81707 bytes freq_cornee_mean.PNG | Bin 0 -> 79061 bytes freq_cornee_median.PNG | Bin 0 -> 80220 bytes freq_cornee_orig.PNG | Bin 0 -> 80952 bytes freq_moly_gaussien.PNG | Bin 0 -> 81132 bytes freq_moly_gradientN.PNG | Bin 0 -> 86541 bytes freq_moly_laplacien.PNG | Bin 0 -> 84822 bytes freq_moly_orig.PNG | Bin 0 -> 83482 bytes freq_moly_shadow.PNG | Bin 0 -> 84380 bytes freq_moly_sharpen.PNG | Bin 0 -> 82881 bytes freq_moly_smooth.PNG | Bin 0 -> 82322 bytes meb_binary.PNG | Bin 0 -> 5138 bytes meb_countIs407.PNG | Bin 0 -> 10491 bytes meb_dilate4.PNG | Bin 0 -> 2307 bytes meb_erodeCercle2.PNG | Bin 0 -> 2254 bytes meb_orig.PNG | Bin 0 -> 39474 bytes moly_gaussien.PNG | Bin 0 -> 54143 bytes moly_gradientN.PNG | Bin 0 -> 54216 bytes moly_laplacien.PNG | Bin 0 -> 58127 bytes moly_orig.PNG | Bin 0 -> 67936 bytes moly_shadow.PNG | Bin 0 -> 80059 bytes moly_sharpen.PNG | Bin 0 -> 79873 bytes moly_smooth.PNG | Bin 0 -> 59262 bytes partb_carre.PNG | Bin 0 -> 8605 bytes partb_cercle.PNG | Bin 0 -> 8389 bytes partb_etiquetteRGB.PNG | Bin 0 -> 11071 bytes partb_hexagonal.PNG | Bin 0 -> 8376 bytes partb_orig.PNG | Bin 0 -> 8934 bytes rapport.md | 381 ++++++++++++++++++ rectangle_dilate_carre.PNG | Bin 0 -> 1466 bytes rectangle_dilate_cercle.PNG | Bin 0 -> 1262 bytes rectangle_dilate_hexa.PNG | Bin 0 -> 1300 bytes rectangle_erode_carre.PNG | Bin 0 -> 972 bytes rectangle_erode_cercle.PNG | Bin 0 -> 1077 bytes rectangle_erode_hexa.PNG | Bin 0 -> 1061 bytes rectangle_orig.PNG | Bin 0 -> 1170 bytes riz_binary.PNG | Bin 0 -> 4779 bytes riz_count.PNG | Bin 0 -> 1887 bytes riz_dilateHorizontal4.PNG | Bin 0 -> 1281 bytes riz_erodeHorizontal4.PNG | Bin 0 -> 1393 bytes riz_orig.PNG | Bin 0 -> 72973 bytes 92 files changed, 381 insertions(+) create mode 100644 Cornee_erodeCercle1_approxContour.PNG create mode 100644 TestConvolve_customkernel.PNG create mode 100644 TestConvolve_orig.PNG create mode 100644 babouin_diffFermeture.PNG create mode 100644 babouin_diffOuverture.PNG create mode 100644 babouin_dilate2cercle.PNG create mode 100644 babouin_erosion2cercle.PNG create mode 100644 babouin_fermeture1.PNG create mode 100644 babouin_gradientmorpho.PNG create mode 100644 babouin_orig.PNG create mode 100644 babouin_ouverture1.PNG create mode 100644 babouin_sobel.PNG create mode 100644 bateau_orig.PNG create mode 100644 bateau_saltandpepper.PNG create mode 100644 bateau_saltandpepper_mean3.PNG create mode 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tasklist + - codehilite(linenums=true) +--- +<style> +body{ + max-width: 1000px; + width: 95%; + margin-bottom: 60vh; +} +h1 { + counter-reset: countA; + text-align: center; + color: #004335; + background-color: #EDFFFF; + padding-top: 10px; + border-top: 5px solid #EEEEEE !important; + border-bottom: 5px solid #EEEEEE !important; + margin-top: 3em !important; + left: -30px; + width: calc(100% + 60px); +} +.markdown-body>h1:first-of-type{ + margin-top: 0px !important; + padding: 20px; + font-size: 3em; + top: -30px; + border-top: none !important; +} +h1 .headeranchor-link{ + margin-left: 0px !important; +} +h2 { + counter-reset: countB; + color: #004335; + margin-top: 2em !important; + left: -15px; + width: calc(100% + 30px); +} +h2 .headeranchor-link{ + margin-left: -20px !important; +} +h3 { counter-reset: countC; } +h3 { counter-reset: countD; } +h1::before, h1::after {content: " - ";} +h2::before { + content: counter(countA) ". 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"; + counter-increment: countD; +} +info, good, warn, err{ + border-left: 4px solid #000; + padding: 5px; + padding-left: 15px; + display: inline-block; +} + +info { + background-color: #E8FAFF; + border-left-color: #8BE8FF; +} +good { + background-color: #E8FFEA; + border-left-color: #6DFF7B; +} +warn { + background-color: #FFF5EB; + border-left-color: #FFE28B; +} +err { + background-color: #fceded; + border-left-color: #dfb5b4; +} +.toc{ + margin-left: 5%; + padding-left: 5%; + border-left: 5px solid #EEEEEE; +} +.toc>ul:first-child>li:first-child{ + display: none; +} +.linenos{ + color: #BBB; + padding: 0px; + border-right: 4px solid #EEE !important; +} +.linenos pre{ + padding-right: 5px; +} +.suppr{ + display: none; + content: ""; +} +todo::before{ + color: #F00; + content: "TODO"; + background-color: #0FF; + font-weight: bold; + padding: 2px; + margin-right: 5px; +} + +.codehilite pre{ + background-color: #272822; +} +.hidden{ + display: none; +} + +img{ + width: 70%; +} +.dual, .quad{ + text-align: center; +} +.dual img{ + max-width: calc(100% / 2 - 10px); + margin: 5px; +} +.quad img{ + max-width: calc(50% / 2 - 10px); + margin: 5px; +} + +</style> + +# TP 2 ImageJ : Filtrage, Contours, Morphologie Mathématique + +__Thomas ABOT__ +__Thibaut CHARLES__ + + +<div class="hidden"> + katia.charriere@telecom-bretagne.eu +</div> +[TOC] + +Partie I : Filtrage spatial, Contours +=============================================================================== + +Exercice 1 : Filtrage linéaire bidimensionnel non récursif dans le domaine spatial +------------------------------------------------------------------------------- + +### Filtres +#### Smooth +<span class="dual"> +![](moly_orig.PNG)![](moly_smooth.PNG) +![](freq_moly_orig.PNG)![](freq_moly_smooth.PNG) +</span> + +#### Sharpen +<span class="dual"> +![](moly_orig.PNG)![](moly_sharpen.PNG) +![](freq_moly_orig.PNG)![](freq_moly_sharpen.PNG) +</span> + +#### Shadows +<span class="dual"> +![](moly_orig.PNG)![](moly_shadow.PNG) +![](freq_moly_orig.PNG)![](freq_moly_shadow.PNG) +</span> + +#### Convolution + +##### Tests +<span class="dual"> +![](TestConvolve_orig.PNG)![](TestConvolve_customkernel.PNG) +</span> +> La convolution est correcte + +##### Flou Gaussien +<span class="dual"> +![](moly_orig.PNG)![](moly_gaussien.PNG) +![](freq_moly_orig.PNG)![](freq_moly_gaussien.PNG) +</span> + +##### Gradient N +<span class="dual"> +![](moly_orig.PNG)![](moly_gradientN.PNG) +![](freq_moly_orig.PNG)![](freq_moly_gradientN.PNG) +</span> + +##### Laplacien +<span class="dual"> +![](moly_orig.PNG)![](moly_laplacien.PNG) +![](freq_moly_orig.PNG)![](freq_moly_laplacien.PNG) +</span> + +### Commentaires + +- <todo/> + + + +Exercice 2 : Filtres non-linéaires bidimensionnels, les filtres médians +------------------------------------------------------------------------------- + +### Médian +<span class="dual">![](cornee_orig.PNG)![](cornee_median.PNG)</span> + +### Moyenne +<span class="dual">![](cornee_orig.PNG)![](cornee_mean.PNG)</span> + + +### Bateau, Salt and Pepper +<span class="dual">![](bateau_orig.PNG)![](bateau_saltandpepper.PNG)</span> + +#### Médian, taille 3 +<span class="dual">![](bateau_saltandpepper.PNG)![](bateau_saltandpepper_median3.PNG)</span> +#### Moyenne, taille 3 +<span class="dual">![](bateau_saltandpepper.PNG)![](bateau_saltandpepper_mean3.PNG)</span> + + + +Exercice 3 : Introduction à la détection de contours +------------------------------------------------------------------------------- + + + + + +Partie II : Morphologie Mathématique +=============================================================================== + +Traitement d'images binaires +------------------------------------------------------------------------------- + +### Importance du choix de l'élément structurant (voisinage) + +#### Érosion de taille 3 sur l'image partB + +##### Érosion carrée +<span class="quad">![](partb_orig.PNG)![](partb_carre.PNG)</span> +##### Érosion héxagonale +<span class="quad">![](partb_orig.PNG)![](partb_hexagonal.PNG)</span> +##### Érosion Circulaire +<span class="quad">![](partb_orig.PNG)![](partb_cercle.PNG)</span> + +#### Cercle1 +<span class="quad">![](cercle_orig.PNG)</span> + +##### Érosion carrée/hexagonale/circulaire +<span class="quad">![](cercle_erode_carre.PNG)![](cercle_erode_hexa.PNG)![](cercle_erode_cercle.PNG)</span> +##### Dilatation carrée/hexagonale/circulaire +<span class="quad">![](cercle_dilate_carre.PNG)![](cercle_dilate_hexa.PNG)![](cercle_dilate_cercle.PNG)</span> + +#### Cercle2 +- Idem que pour Cercle1 +- Disparition du cercle quand l'érosion est trop forte + +#### Rectangles +<span class="quad">![](rectangle_orig.PNG)</span> + + +##### Érosion carrée/hexagonale/circulaire +<span class="quad">![](rectangle_erode_carre.PNG)![](rectangle_erode_hexa.PNG)![](rectangle_erode_cercle.PNG)</span> +##### Dilatation carrée/hexagonale/circulaire +<span class="quad">![](rectangle_dilate_carre.PNG)![](rectangle_dilate_hexa.PNG)![](rectangle_dilate_cercle.PNG)</span> + + +#### Deviner le type de voisinage + +On prend une forme de base, puis on le dilate beaucoup. + +> Dilatation circulaire / rectangulaire +<span class="quad">![](binary_dilate_cercle.PNG)![](binary_dilate_rectangle.PNG)</span> + + +#### Choix du voisinage + +Il dépend de l'image source: +- On préférera un voisinage carré pour conserver les angles de l'image +- Le voisinage circulaire est plus adapté pour les images avec des formes courbes + +### Utilisation des transformations élémentaires + +#### Circuit + +Obtention des frontières par différence entre l'image érodée/dilatée et l'image originale + +> Image originale/érodée/différence entre les deux +<span class="quad">![](circuit_orig.PNG)![](circuit_erode.PNG)![](circuit_diff.PNG)</span> + +#### Grains de café +On érode les grains de café pour faire disparaître les plus petits, puis on dilate puis compte les grains restants. + +> Image originale/érodée/dilatée/comptage +<span class="quad">![](cafe_orig.PNG)![](cafe_erodeCercle3.PNG)![](cafe_dilateCercle2.PNG)![](cafe_count.PNG)</span> + +#### Circuit (bis) +On érode le circuit afin de faire disparaître les pistes puis dilate autant qu'on a érodé afin de retrouver la taille originale des pastilles. +Une fois qu'on a les pastilles, on fait la différence entre l'originale et les pastilles. + +> Image originale/érodée/re-dilatée/différence +<span class="quad">![](circuit_orig.PNG)![](circuit_pastilles_erodeCercle4.PNG)![](circuit_pastilles_erodeCercle4_dilateCercle4.PNG)![](circuit_pistes.PNG)</span> + +Pour isoler les pistes obliques, il faut éroder l'image suivant une ligne oblique. + +### Transformations utiles + +#### Remplissage des trous + +On peut boucher les trous en dilatant puis érodant l'image. +> Image originale/binarisée/érodée/re-dilatée +<span class="quad">![](circuit_2_color.PNG)![](circuit_2_binary.PNG)![](circuit_2_erode.PNG)![](circuit_2_dilate.PNG)</span> + +#### Étiquetage + +> Image originale/étiquetée +<span class="quad">![](partb_orig.PNG)![](partb_etiquetteRGB.PNG)</span> + +### Exercice + +> Image originale/binarisée/érodée/re-dilatée/Comptage +<span class="quad">![](riz_orig.PNG)![](riz_binary.PNG)![](riz_erodeHorizontal4.PNG)![](riz_dilateHorizontal4.PNG)![](riz_count.PNG)</span> + +Morphologie décimale +------------------------------------------------------------------------------- + +### Cornée + +> Originale / érosion / soustraction & binarisation +<span class="quad">![](cornee_orig.PNG)![](cornee_erosion8hexa.PNG)![](cornee_substractbinary.PNG)</span> + + +> Approximation des contours via érosion +<span class="quad">![](Cornee_erodeCercle1_approxContour.PNG)</span> + +### Gradient morphologique + +> Originale / Gradient de Sobel +<span class="quad">![](babouin_orig.PNG)![](babouin_sobel.PNG)</span> + +> Originale / Dilatée / Érodée / Gradient morphologique +<span class="quad">![](babouin_orig.PNG)![](babouin_dilate2cercle.PNG)![](babouin_erosion2cercle.PNG)![](babouin_sobel.PNG)</span> + + +### Filtrage morphologique + +#### Fermeture +> Originale / ... / Fermeture +<span class="quad">![](babouin_orig.PNG)![](babouin_fermeture1.PNG)![](babouin_diffFermeture.PNG)</span> + +#### Ouverture +> Originale / ... / Ouverture +<span class="quad">![](babouin_orig.PNG)![](babouin_ouverture1.PNG)![](babouin_diffOuverture.PNG)</span> + + +Exercices d'application +------------------------------------------------------------------------------- + +### Image partB + +<todo/> + +### Image meb + +> Originale / Binarisation / Érosion / Dilatation / Comptage +<span class="quad">![](meb_orig.PNG)![](meb_binary.PNG)![](meb_erodeCercle2.PNG)![](meb_dilate4.PNG)![](meb_countIs407.PNG)</span> + + +### Image circuit "binarisée" + +<todo/> \ No newline at end of file diff --git a/rectangle_dilate_carre.PNG 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