From d509beab7cc0737a1bdfbd609359733a30882a43 Mon Sep 17 00:00:00 2001
From: zulu <zulu@zuludell.(none)>
Date: Fri, 13 Jun 2014 11:02:03 +0200
Subject: [PATCH] modif finale lnivs + keywords

---
 10.1007_s11265-013-0799-2.pdf                 |   Bin 0 -> 983457 bytes
 "Attestation-rapport-th\303\250se-perrot.pdf" |   Bin 0 -> 1018457 bytes
 THESE/Chapters/chapter2/chapter2d.tex         |     2 +-
 THESE/Chapters/chapter4/chapter4.tex          |    25 +-
 .../chapter4/img/levellines-monasse.png       |   Bin 0 -> 307309 bytes
 THESE/biblio.bib                              |    18 +-
 THESE/resumes.txt                             |    11 +
 THESE/resumes.txt~                            |     0
 THESE/these.aux                               |   497 +-
 THESE/these.bbl                               |     8 +-
 THESE/these.blg                               |    65 +-
 THESE/these.lof                               |   193 +-
 THESE/these.log                               |   458 +-
 THESE/these.lot                               |     6 +-
 THESE/these.pdf                               | 14015 +++++++++-------
 THESE/these.tex                               |     4 +-
 THESE/these.toc                               |    28 +-
 ...niquederniere version septembre 2009-1.odt |   Bin 0 -> 61173 bytes
 charte-electronique-perrot.odt                |   Bin 0 -> 61173 bytes
 ...se_2014 toute derni\303\250re version.doc" |   Bin 0 -> 93696 bytes
 ...se_2014 toute derni\303\250re version.odt" |   Bin 0 -> 53317 bytes
 formulaire_these_perrot.odt                   |   Bin 0 -> 53317 bytes
 22 files changed, 8337 insertions(+), 6993 deletions(-)
 create mode 100644 10.1007_s11265-013-0799-2.pdf
 create mode 100644 "Attestation-rapport-th\303\250se-perrot.pdf"
 create mode 100644 THESE/Chapters/chapter4/img/levellines-monasse.png
 create mode 100644 THESE/resumes.txt
 create mode 100644 THESE/resumes.txt~
 create mode 100644 charte electroniquederniere version septembre 2009-1.odt
 create mode 100644 charte-electronique-perrot.odt
 create mode 100644 "formulaire_these_2014 toute derni\303\250re version.doc"
 create mode 100644 "formulaire_these_2014 toute derni\303\250re version.odt"
 create mode 100644 formulaire_these_perrot.odt

diff --git a/10.1007_s11265-013-0799-2.pdf b/10.1007_s11265-013-0799-2.pdf
new file mode 100644
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diff --git a/THESE/Chapters/chapter2/chapter2d.tex b/THESE/Chapters/chapter2/chapter2d.tex
index a9c8e1e..3394929 100644
--- a/THESE/Chapters/chapter2/chapter2d.tex
+++ b/THESE/Chapters/chapter2/chapter2d.tex
@@ -54,7 +54,7 @@ $\epsilon \leftarrow 1$ \;
 } 
 \end{algorithm}
 
-\subsection{Partitionnement de graphe}
+\subsection{Partitionnement de graphe\label{seggraph}}
 Un autre formalisme qui a généré une vaste classe d'algorithmes de segmentation est celui des graphes. Il repose sur l'idée que les régions de l'image sont représentées par les n\oe uds d'un graphe, alors que les liens traduisent les relations de voisinage existant entre les régions, l'idée de base étant d'initialiser le graphe avec un n\oe ud pour chaque pixel. La segmentation est obtenue par partitionnement itératif du graphe, en évaluant les liens et en déterminant ceux à supprimer, et ce jusqu'à convergence.
 
 L'essentiel de la problématique réside donc dans la métrique retenue pour évaluer les liens ainsi que dans le critère de sélection et, là encore, la littérature regorge d'une grande variété de propositions.
diff --git a/THESE/Chapters/chapter4/chapter4.tex b/THESE/Chapters/chapter4/chapter4.tex
index 22657b8..15580f9 100644
--- a/THESE/Chapters/chapter4/chapter4.tex
+++ b/THESE/Chapters/chapter4/chapter4.tex
@@ -1,11 +1,28 @@
 \section{Introduction}
-Le concept de ligne de niveau dans les images a été introduit dès 1975 par Matheron \cite{matheron75}, puis Caselles \textit{et al.} \cite{caselles97} l'ont exploité et proposé le cadre définissant les  \textit{images naturelles} comme les scènes photographiées, en intérieur ou en extérieur, à l'aide d'un appareil standard. Ces images vérifient alors l'hypothèse de gradient à valeurs bornées et peuvent être décomposées en un ensemble de lignes de niveaux.   
-Bertaux \textit{et al.} ont plus récemment proposé un algorithme de réduction du \textit{speckle} dans les images éclairées en lumière cohérente en introduisant, pour les pixels de l'image observée, une contrainte  d'appartenance aux lignes de niveaux du modèle d'image non bruitée \cite{bertaux2004speckle}. L'image observée étant perturbée, les lignes de niveaux ne sont pas accessibles et il s'agit donc d'en estimer, localement  par morceaux, la valeur et la forme, en se basant sur un modèle de forme pré établi.
+La grande majorité des solutions de débruitage performantes actuelles mettent en \oe{}uvre des représentations basées sur  des transformées décomposant la \textit{fonction} image en une base prédéterminée de fonctions élémentaires ( Fourier, ondelettes...). Elles sont, \textit{a priori}, bien adaptées à ce problème car elles reposent sur le principe même de génération de l'image et des principaux bruits qui la perturbent.
+
+Du point de vue de l'analyse des images, ces techniques ne sont en revanche pas nécessairement les plus pertinentes, en particulier car elles ne conservent pas la propriété d'invariance des structures principales de la scène pour la perception visuelle, vis-à-vis de grandeurs comme par exemple le contraste.   
+
+Une autre famille de modèles tente de représenter les scènes en se basant sur les \textit{contours significatifs} des éléments ou objets présents dans les images. Naturellement, l'extraction et la hiérarchisation conduisant à l'identification ou à la génération des seuls contours \textit{significatifs} sont les deux phases essentielles du problème et concentrent la difficulté.
+
+Dans \cite{haralick1987image}, les auteurs proposent un modèle sans paramètre et indépendant du contraste, basé sur les ensembles de niveaux (\textit{level-sets}) de l'image. Les frontières de ces ensembles sont les \textit{lignes de niveau} ou \textit{level lines}.         
+Ce concept de ligne de niveau dans les images avait été introduit initialement en 1975 par Matheron \cite{matheron75}, puis Caselles \textit{et al.} \cite{caselles97} l'ont exploité et proposé le cadre définissant les  \textit{images naturelles} comme les scènes photographiées, en intérieur ou en extérieur, à l'aide d'un appareil standard. Ces images vérifient alors l'hypothèse de gradient à valeurs bornées et peuvent être décomposées en un ensemble de lignes de niveaux. Connaissant les lignes de niveaux d'une image, on se pose alors le problème inverse de la reconstruction de l'image dont elles sont issues.
+  
+Dans \cite{Caselles99topographicmaps}, Monasse \textit{et al.} structurent l'ensemble des lignes de niveaux en un arbre traduisant leurs inclusions géométriques et appliquent ensuite des méthodes de segmentation dérivées de celles que nous avons présentées au chapitre \ref{seggraph} pour extraire les structures principales de l'image. Ce modèle permet en particulier les changements d'échelles. La figure \ref{fig-levellines-monasse} montre, sur la ligne du haut, une image originale et sa reconstruction à l'échelle $\times$150 à l'aide de cette méthode, alors que la ligne du bas reproduit les lignes de niveaux identifiées dans l'image originale et celles retenues pour la représentation. Il est à noter que toutes les lignes de niveau sélectionnées appartiennent à l'ensemble original.  
+   
+\begin{figure}[h]
+\center
+\includegraphics[width=10cm]{Chapters/chapter4/img/levellines-monasse.png}
+\caption{\label{fig-levellines-monasse}Exemple d'exploitation des lignes de niveaux. En haut : l'image originale et sa représentation à l'échelle $\times$150. En bas : les lignes de niveaux de l'image originale et celles utilisées pour la mise à l'échelle. Toutes les lignes de niveaux de l'image de droite existent à l'identique dans l'ensemble original. Illustration tirée de \cite{Caselles99topographicmaps}.}
+\end{figure}
+
+   
+Bertaux \textit{et al.} ont plus récemment proposé un algorithme de réduction du \textit{speckle} dans les images éclairées en lumière cohérente en introduisant, pour les pixels de l'image observée, une contrainte  d'appartenance aux lignes de niveaux du modèle d'image non bruitée \cite{bertaux2004speckle}. L'image observée étant perturbée, les lignes de niveaux ne sont pas accessibles et il s'agit donc d'en estimer, localement  et par morceaux, la valeur et la forme, en se basant sur un modèle de forme pré-établi.
 Pour un pixel dont on cherche à estimer la valeur du niveau de gris, la contrainte d'appartenance à une ligne de niveau demeure locale, avec cependant un voisinage de forme et de taille (en nombre de pixels) variables en fonction des propriétés de l'image bruitée dans la zone concernée.
 Ce voisinage, dont la forme, l'étendue et le niveau de gris sont déterminés par maximum de vraisemblance, appelé une \textit{isoline},  est une estimation locale de la ligne de niveau à laquelle appartient le pixel concerné.
 Cette technique a montré qu'elle permettait de réduire très significativement le niveau de bruit tout en préservant les contours des objets. Elle s'est en revanche averée gourmande en ressources, ce qui a initialement conduit les auteurs à réduire la résolution de calcul des \textit{isolines} par application d'un maillage sur l'image bruitée. 
 Malgré cela, les temps de calcul demeuraient prohibitifs, avec une image de 2 millions de pixels traitée en 1 minute par un PIII-1GHz.
-Comme nous l'avons déjà évoqué, l'amélioration des performances des microprocesseurs permet aujourd'hui de réduire assez considérablement ce temps de calcul. Cependant, la résolution des images à traiter à crû dans des proportions comparables, laissant les termes du compromis qualité/performance inchangés.
+Comme nous l'avons déjà évoqué, l'amélioration des performances des processeurs permet aujourd'hui de réduire considérablement ce temps de calcul. Cependant, la résolution des images à traiter à crû dans des proportions comparables, laissant les termes du compromis qualité/performance inchangés.
 
 \section{Présentation de l'algorithme}
 \subsection{Formulation}
@@ -727,4 +744,4 @@ La démarche adoptée pour sa conception a été de se baser sur des opérations
 
 L'algorithme et les résultats que nous avons détaillés dans ce chapitre ont été publiés dans le \textit{Journal of real-time image processing} dans un article intitulé \textit{Fast GPU-based denoising filter using isoline levels} \cite{perrotlniv}.
 
-% LocalWords:  pénalisante estimateurs colorimétriques
+% LocalWords:  pénalisante estimateurs colorimétriques l'invariance
diff --git a/THESE/Chapters/chapter4/img/levellines-monasse.png b/THESE/Chapters/chapter4/img/levellines-monasse.png
new file mode 100644
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diff --git a/THESE/biblio.bib b/THESE/biblio.bib
index 06f2db9..0aabb5f 100755
--- a/THESE/biblio.bib
+++ b/THESE/biblio.bib
@@ -1392,7 +1392,7 @@ title={Fast GPU-based denoising filter using isoline levels},
 url={http://dx.doi.org/10.1007/s11554-013-0381-y},
 publisher={Springer Berlin Heidelberg},
 keywords={GPU; Denoising; Filter; Isoline; Level line},
-author={Perrot, Gilles and Domas, Stéphane and Couturier, Raphaël and Bertaux, Nicolas},
+author={Perrot, Gilles and Domas, St{\'e}phane and Couturier, Rapha{\"e}l and Bertaux, Nicolas},
 pages={1-12},
 language={English}
 }
@@ -1422,4 +1422,20 @@ ISSN={0013-5194},}
   author={Van Trees, Harry L},
   year={2004},
   publisher={Wiley. com}
+}
+@article{meyer1993wavelets,
+  title={Wavelets-algorithms and applications},
+  author={Meyer, Yves},
+  journal={Wavelets-Algorithms and applications Society for Industrial and Applied Mathematics Translation., 142 p.},
+  volume={1},
+  year={1993}
+}
+@article{haralick1987image,
+  title={Image analysis using mathematical morphology},
+  author={Haralick, Robert M and Sternberg, Stanley R and Zhuang, Xinhua},
+  journal={Pattern Analysis and Machine Intelligence, IEEE Transactions on},
+  number={4},
+  pages={532--550},
+  year={1987},
+  publisher={IEEE}
 }
\ No newline at end of file
diff --git a/THESE/resumes.txt b/THESE/resumes.txt
new file mode 100644
index 0000000..f2e913a
--- /dev/null
+++ b/THESE/resumes.txt
@@ -0,0 +1,11 @@
+Résumé français
+
+ Les cartes graphiques modernes (GPU) mettent, en théorie, la programmation parallèle à la portée de tous. Ces facilités ont éveillé l'intérêt des chercheurs et développeurs de toutes disciplines, qui ont tenté de tirer parti des performances élevées de ces matériels. Cependant, d'importants efforts de conception sont souvent nécessaires à l'obtention des vitesses de traitement espérées.
+Dans cette thèse, nous proposons des méthodes conduisant à des implémentations rapides de plusieurs algorithmes destinés au traitement des images fortement bruitées. La première est une transposition sur GPU d'un algorithme de segmentation dit du snake dont la capacité de traitement a été étendue et les performances améliorées. La seconde décrit un algorithme original, basé sur la recherche des lignes de niveaux et conçu spécifiquement pour les GPUs, qui réduit le bruit gaussien dans les images en niveaux de gris ou en couleur et dont le rapport qualité/vitesse est particulièrement intéressant. En concevant une gestion fine des mémoires du GPU, nous avons également conféré un débit de traitement inégalé au filtre médian, pouvant dépasser les 5 milliards de pixels à la seconde. Enfin nous avons étendu l'application de ces techniques à un opérateur beaucoup plus générique, le filtre de convolution, et montré qu'elles permettaient de surpasser les implémentations les plus rapides connues jusqu'alors, avec un maximum au delà des 7 milliards de pixels à la seconde. Nous mettons aussi à disposition une application en ligne permettant à tout développeur de générer les codes sources opérationnels des filtres que nous avons décrits. 
+
+Absract in English
+
+In theory, modern graphical processing units (GPUs) make parallel programming accessible to all, and have triggered widespread interest  among researchers or developers  of all disciplines, with the hope of dramatically increasing processing speeds. Nevertheless, obtaining such performances cannot be done without considerable designing efforts : as an answer, we propose two GPU-based methods leading to fast implementations of several algorithms targeted to processing noisy images. One of them consists in porting the segmentation algorithm named snake, with the effect of extending  its processing capacity and performance. A second involves a innovative GPU-specific algorithm, based on searching for level lines within gray-level or color images to reduce gaussian noise, whose quality-to-speed ratio is particularly interesting.
+Through extremely fine-tuned management of the different memory types available on GPUs, we have also conferred unprecedent flow rates to the median filter, making it able to process over 5 billion pixels per second. Eventually, we extended the above methods to the more generic convolution filter, and showed they out-perform the fastest implementations known to date, with over 7 billion pixels per second. In addition, we provide an on-line application that enables any developer to automatically generate operational source code of our filters.
+
+Keywords : GPU, filter, image, segmentation, median, convolution, snake
diff --git a/THESE/resumes.txt~ b/THESE/resumes.txt~
new file mode 100644
index 0000000..e69de29
diff --git a/THESE/these.aux b/THESE/these.aux
index b83278a..5d70326 100644
--- a/THESE/these.aux
+++ b/THESE/these.aux
@@ -189,6 +189,7 @@
 \citation{4310076}
 \@writefile{toc}{\contentsline {subsection}{\numberline {5.2.1}Analyse d'histogramme}{36}{subsection.5.2.1}}
 \newlabel{sec-histo}{{5.2.1}{36}{Analyse d'histogramme\relax }{subsection.5.2.1}{}}
+\newlabel{seggraph}{{5.2.2}{36}{Partitionnement de graphe\label {seggraph}\relax }{subsection.5.2.2}{}}
 \@writefile{toc}{\contentsline {subsection}{\numberline {5.2.2}Partitionnement de graphe}{36}{subsection.5.2.2}}
 \newlabel{fig-histo-cochon-a}{{5.1(a)}{37}{Subfigure 5 5.1(a)\relax }{subfigure.5.1.1}{}}
 \newlabel{sub@fig-histo-cochon-a}{{(a)}{37}{Subfigure 5 5.1(a)\relax }{subfigure.5.1.1}{}}
@@ -488,196 +489,202 @@
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 \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {D\IeC {\'e}termination de $i_L$ et $i_H$.}}}{73}{figure.6.12}}
 \@writefile{toc}{\contentsline {subsection}{\numberline {6.3.5}Conclusion}{73}{subsection.6.3.5}}
+\citation{haralick1987image}
 \citation{matheron75}
 \citation{caselles97}
-\citation{bertaux2004speckle}
+\citation{Caselles99topographicmaps}
 \@writefile{toc}{\contentsline {chapter}{\numberline {7}R\IeC {\'e}duction de bruit par recherche des lignes de niveaux}{75}{chapter.7}}
 \@writefile{lof}{\addvspace {10\p@ }}
 \@writefile{lot}{\addvspace {10\p@ }}
 \newlabel{ch-lniv}{{7}{75}{Réduction de bruit par recherche des lignes de niveaux\label {ch-lniv}\relax }{chapter.7}{}}
 \@writefile{toc}{\contentsline {section}{\numberline {7.1}Introduction}{75}{section.7.1}}
-\@writefile{toc}{\contentsline {section}{\numberline {7.2}Pr\IeC {\'e}sentation de l'algorithme}{76}{section.7.2}}
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-\newlabel{fig-lniv-p5q1}{{7.1}{76}{\label {fig-lniv-p5q1}Détail des motifs et de leur représentation interne, pour la taille $a=5$. \relax }{figure.7.1}{}}
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-\newlabel{LL1}{{7.5}{77}{Détermination du premier segment\relax }{equation.7.2.5}{}}
+\citation{Caselles99topographicmaps}
+\citation{Caselles99topographicmaps}
+\citation{bertaux2004speckle}
+\@writefile{lof}{\contentsline {figure}{\numberline {7.1}{\ignorespaces Exemple d'exploitation des lignes de niveaux. En haut : l'image originale et sa repr\IeC {\'e}sentation \IeC {\`a} l'\IeC {\'e}chelle $\times $150. En bas : les lignes de niveaux de l'image originale et celles utilis\IeC {\'e}es pour la mise \IeC {\`a} l'\IeC {\'e}chelle. Toutes les lignes de niveaux de l'image de droite existent \IeC {\`a} l'identique dans l'ensemble original. Illustration tir\IeC {\'e}e de \cite  {Caselles99topographicmaps}.}}{76}{figure.7.1}}
+\newlabel{fig-levellines-monasse}{{7.1}{76}{\label {fig-levellines-monasse}Exemple d'exploitation des lignes de niveaux. En haut : l'image originale et sa représentation à l'échelle $\times $150. En bas : les lignes de niveaux de l'image originale et celles utilisées pour la mise à l'échelle. Toutes les lignes de niveaux de l'image de droite existent à l'identique dans l'ensemble original. Illustration tirée de \cite {Caselles99topographicmaps}}{figure.7.1}{}}
+\@writefile{toc}{\contentsline {section}{\numberline {7.2}Pr\IeC {\'e}sentation de l'algorithme}{77}{section.7.2}}
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+\@writefile{toc}{\contentsline {subsubsection}{\numberline {7.2.1.1}D\IeC {\'e}termination du premier segment}{77}{subsubsection.7.2.1.1}}
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+\newlabel{LL2}{{7.1}{78}{Détermination du premier segment\relax }{equation.7.2.1}{}}
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@@ -811,74 +818,75 @@
 \bibcite{galland2005minimal}{43}
 \bibcite{GermainR01}{44}
 \bibcite{nlmeansgpubelge}{45}
-\bibcite{snakegvf06}{46}
-\bibcite{healey1994radiometric}{47}
-\bibcite{hochbaum2013simplifications}{48}
-\bibcite{5170921}{49}
-\bibcite{humphrey1924psychology}{50}
-\bibcite{jeong2009scalable}{51}
-\bibcite{5402362}{52}
-\bibcite{KassWT88}{53}
-\bibcite{keselman1998extraction}{54}
-\bibcite{cmla2009Kes}{55}
-\bibcite{kohli2007dynamic}{56}
-\bibcite{lefohn2003inter}{57}
-\bibcite{lefohn2003interactive}{58}
-\bibcite{lefohn2005streaming}{59}
-\bibcite{li2009mean}{60}
-\bibcite{li2011robust}{61}
-\bibcite{macqueen1967some}{62}
-\bibcite{Mallat:2008:WTS:1525499}{63}
-\bibcite{mancuso2001introduction}{64}
-\bibcite{martin2001database}{65}
-\bibcite{matheron75}{66}
-\bibcite{coil}{67}
-\bibcite{CUDAPG}{68}
-\bibcite{osher1988fronts}{69}
-\bibcite{4310076}{70}
-\bibcite{medianggems5}{71}
-\bibcite{PALHANOXAVIERDEFONTES}{72}
-\bibcite{pelleg2000x}{73}
-\bibcite{4287006}{74}
-\bibcite{6036776}{75}
-\bibcite{perrotbookgpu}{76}
-\bibcite{perrot2013fine}{77}
-\bibcite{perrotlniv}{78}
-\bibcite{1521458}{79}
-\bibcite{tid2008a}{80}
-\bibcite{psnrhvsm}{81}
-\bibcite{4587843}{82}
-\bibcite{Roberts:2010:WGA:1921479.1921499}{83}
-\bibcite{ronfard1994region}{84}
-\bibcite{rumpf2001level}{85}
-\bibcite{sanchezICASSP12}{86}
-\bibcite{6288187}{87}
-\bibcite{sethian1996fast}{88}
-\bibcite{kmeansgpuopengl}{89}
-\bibcite{shi2000normalized}{90}
-\bibcite{snakegvfopencl12}{91}
-\bibcite{convolutionsoup}{92}
-\bibcite{graphcutscuda}{93}
-\bibcite{strang1999discrete}{94}
-\bibcite{sanchez2013highly}{95}
-\bibcite{theuwissen2001ccd}{96}
-\bibcite{710815}{97}
-\bibcite{tukey77}{98}
-\bibcite{van2004detection}{99}
-\bibcite{vedaldi2008quick}{100}
-\bibcite{4563095}{101}
-\bibcite{Vineet:2009:FMS:1572769.1572796}{102}
-\bibcite{volkov2010better}{103}
-\bibcite{wang2001image}{104}
-\bibcite{wang2003image}{105}
-\bibcite{Wang04imagequality}{106}
-\bibcite{wong2010demystifying}{107}
-\bibcite{wu1993optimal}{108}
-\bibcite{xiao2010efficient}{109}
-\bibcite{5206542}{110}
-\bibcite{Zahn:1971:GMD:1309266.1309359}{111}
-\bibcite{zheng2011performance}{112}
-\bibcite{zheng2012fast}{113}
+\bibcite{haralick1987image}{46}
+\bibcite{snakegvf06}{47}
+\bibcite{healey1994radiometric}{48}
+\bibcite{hochbaum2013simplifications}{49}
+\bibcite{5170921}{50}
+\bibcite{humphrey1924psychology}{51}
+\bibcite{jeong2009scalable}{52}
+\bibcite{5402362}{53}
+\bibcite{KassWT88}{54}
+\bibcite{keselman1998extraction}{55}
+\bibcite{cmla2009Kes}{56}
+\bibcite{kohli2007dynamic}{57}
+\bibcite{lefohn2003inter}{58}
+\bibcite{lefohn2003interactive}{59}
+\bibcite{lefohn2005streaming}{60}
+\bibcite{li2009mean}{61}
+\bibcite{li2011robust}{62}
+\bibcite{macqueen1967some}{63}
+\bibcite{Mallat:2008:WTS:1525499}{64}
+\bibcite{mancuso2001introduction}{65}
+\bibcite{martin2001database}{66}
+\bibcite{matheron75}{67}
+\bibcite{coil}{68}
+\bibcite{CUDAPG}{69}
+\bibcite{osher1988fronts}{70}
+\bibcite{4310076}{71}
+\bibcite{medianggems5}{72}
+\bibcite{PALHANOXAVIERDEFONTES}{73}
+\bibcite{pelleg2000x}{74}
+\bibcite{4287006}{75}
+\bibcite{6036776}{76}
+\bibcite{perrotbookgpu}{77}
+\bibcite{perrot2013fine}{78}
+\bibcite{perrotlniv}{79}
+\bibcite{1521458}{80}
+\bibcite{tid2008a}{81}
+\bibcite{psnrhvsm}{82}
+\bibcite{4587843}{83}
+\bibcite{Roberts:2010:WGA:1921479.1921499}{84}
+\bibcite{ronfard1994region}{85}
+\bibcite{rumpf2001level}{86}
+\bibcite{sanchezICASSP12}{87}
+\bibcite{6288187}{88}
+\bibcite{sethian1996fast}{89}
+\bibcite{kmeansgpuopengl}{90}
+\bibcite{shi2000normalized}{91}
+\bibcite{snakegvfopencl12}{92}
+\bibcite{convolutionsoup}{93}
+\bibcite{graphcutscuda}{94}
+\bibcite{strang1999discrete}{95}
+\bibcite{sanchez2013highly}{96}
+\bibcite{theuwissen2001ccd}{97}
+\bibcite{710815}{98}
+\bibcite{tukey77}{99}
+\bibcite{van2004detection}{100}
+\bibcite{vedaldi2008quick}{101}
+\bibcite{4563095}{102}
+\bibcite{Vineet:2009:FMS:1572769.1572796}{103}
+\bibcite{volkov2010better}{104}
+\bibcite{wang2001image}{105}
+\bibcite{wang2003image}{106}
+\bibcite{Wang04imagequality}{107}
+\bibcite{wong2010demystifying}{108}
+\bibcite{wu1993optimal}{109}
+\bibcite{xiao2010efficient}{110}
+\bibcite{5206542}{111}
+\bibcite{Zahn:1971:GMD:1309266.1309359}{112}
+\bibcite{zheng2011performance}{113}
+\bibcite{zheng2012fast}{114}
 \citation{CUDAPG}
 \citation{CUDAPG}
 \citation{zheng2011performance}
@@ -887,5 +895,6 @@
 \citation{xiao2010efficient}
 \citation{snakegvf06}
 \citation{martin2001database}
+\citation{Caselles99topographicmaps}
 \citation{wong2010demystifying}
 \citation{GallandBR03}
diff --git a/THESE/these.bbl b/THESE/these.bbl
index 6abdf9b..4c1cf09 100644
--- a/THESE/these.bbl
+++ b/THESE/these.bbl
@@ -265,6 +265,12 @@ Bart Goossens, Hiêp Luong, Jan Aelterman, Aleksandra Pižurica, and Wilfried
   Systems}, volume 6475 of {\em Lecture Notes in Computer Science}, pages
   46--57. Springer Berlin Heidelberg, 2010.
 
+\bibitem{haralick1987image}
+Robert~M Haralick, Stanley~R Sternberg, and Xinhua Zhuang.
+\newblock Image analysis using mathematical morphology.
+\newblock {\em Pattern Analysis and Machine Intelligence, IEEE Transactions
+  on}, (4):532--550, 1987.
+
 \bibitem{snakegvf06}
 Zhiyu He and Falko Kuester.
 \newblock Gpu-based active contour segmentation using gradient vector flow.
@@ -459,7 +465,7 @@ Gilles Perrot, St{\'e}phane Domas, and Rapha{\"e}l Couturier.
 \newblock {\em Journal of Signal Processing Systems}, pages 1--6, 2013.
 
 \bibitem{perrotlniv}
-Gilles Perrot, Stéphane Domas, Raphaël Couturier, and Nicolas Bertaux.
+Gilles Perrot, St{\'e}phane Domas, Rapha{\"e}l Couturier, and Nicolas Bertaux.
 \newblock Fast gpu-based denoising filter using isoline levels.
 \newblock {\em Journal of Real-Time Image Processing}, pages 1--12, 2013.
 
diff --git a/THESE/these.blg b/THESE/these.blg
index 9d923cc..af8fd72 100644
--- a/THESE/these.blg
+++ b/THESE/these.blg
@@ -9,47 +9,48 @@ Warning--empty journal in aldinucci2012parallel
 Warning--empty booktitle in caselles97
 Warning--empty journal in cohen1993surface
 Warning--empty journal in dixit2005gpu
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diff --git a/THESE/these.lof b/THESE/these.lof
index 8692c79..897820c 100644
--- a/THESE/these.lof
+++ b/THESE/these.lof
@@ -132,102 +132,103 @@
 \contentsline {subfigure}{\numberline {(a)}{\ignorespaces {D\IeC {\'e}termination de $j_L$ et $j_H$.}}}{73}{figure.6.12}
 \contentsline {subfigure}{\numberline {(b)}{\ignorespaces {D\IeC {\'e}termination de $i_L$ et $i_H$.}}}{73}{figure.6.12}
 \addvspace {10\p@ }
-\contentsline {figure}{\numberline {7.1}{\ignorespaces D\IeC {\'e}tail des motifs et de leur repr\IeC {\'e}sentation interne, pour la taille $a=5$. }}{76}{figure.7.1}
-\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Les 8 premi\IeC {\`e}res lignes de la table $P_5$. Les \IeC {\'e}l\IeC {\'e}ments sont les positions relatives des pixels de chaque motif par rapport au pixel central.}}}{76}{figure.7.1}
-\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Motifs des 8 premiers segments associ\IeC {\'e}s aux 8 premi\IeC {\`e}res lignes de $P_5$. Les pixels noirs repr\IeC {\'e}sentent le pixel trait\IeC {\'e} (ou pixel central), qui n'appartient pas au motif. Les pixels gris sont ceux qui constituent le motif.}}}{76}{figure.7.1}
-\contentsline {figure}{\numberline {7.2}{\ignorespaces Exemple de la r\IeC {\'e}partition des pixels dans la r\IeC {\'e}gion $\omega $ pour le calcul de la vraisemblance, pour $n=6$ ($a=5$).}}{77}{figure.7.2}
-\contentsline {figure}{\numberline {7.3}{\ignorespaces Allongement du segment $S^n$. Deux candidats $S^{p'}$ et $S^{p''}$ sont \IeC {\'e}valu\IeC {\'e}s au travers du test GLRT de l'\IeC {\'e}quation \textsuperscript {\hbox {\mathsurround \z@ \normalfont (\ignorespaces \ref {GLRT}\unskip \@@italiccorr )}}\xspace que seul $S^{p''}$ s'av\IeC {\`e}re satisfaire. a) Repr\IeC {\'e}sentation dans le plan de l'image. b) \IeC {\'E}volution des niveaux de gris en fonction de la position des pixels dans les lignes bris\IeC {\'e}es ainsi form\IeC {\'e}es.}}{78}{figure.7.3}
-\contentsline {figure}{\numberline {7.4}{\ignorespaces Processus de s\IeC {\'e}lection lors de l'allongement d'une isoline comportant initialement deux segments $s_1$ et $s_2$. Dans cet exemple $a=5$ et $\Delta d_{max}=2$. Chaque segment \IeC {\'e}valu\IeC {\'e} est soumis au test GLRT. Si au moins un des segments pr\IeC {\'e}sente un test GLRT positif, alors l'allongement est r\IeC {\'e}alis\IeC {\'e} avec le segment qui forme l'isoline la plus vraisemblable.}}{80}{figure.7.4}
-\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Isoline comprenant deux segments $s_1$ et $s_2$.}}}{80}{figure.7.4}
-\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Premier segment \IeC {\'e}valu\IeC {\'e}, associ\IeC {\'e} au motif $p_{5,0}$.}}}{80}{figure.7.4}
-\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {Deuxi\IeC {\`e}me segment \IeC {\'e}valu\IeC {\'e}, associ\IeC {\'e} au motif $p_{5,1}$.}}}{80}{figure.7.4}
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-\contentsline {subfigure}{\numberline {(e)}{\ignorespaces {Quatri\IeC {\`e}me segment \IeC {\'e}valu\IeC {\'e}, associ\IeC {\'e} au motif $p_{5,3}$.}}}{80}{figure.7.4}
-\contentsline {subfigure}{\numberline {(f)}{\ignorespaces {Cinqui\IeC {\`e}me segment \IeC {\'e}valu\IeC {\'e}, associ\IeC {\'e} au motif $p_{5,4}$.}}}{80}{figure.7.4}
-\contentsline {figure}{\numberline {7.5}{\ignorespaces Images non bruit\IeC {\'e}es de la base d'images en niveaux de gris de S. Lansel.}}{81}{figure.7.5}
-\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {airplane}}}{81}{figure.7.5}
-\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {boat}}}{81}{figure.7.5}
-\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {barbara}}}{81}{figure.7.5}
-\contentsline {subfigure}{\numberline {(d)}{\ignorespaces {couple}}}{81}{figure.7.5}
-\contentsline {subfigure}{\numberline {(e)}{\ignorespaces {elaine}}}{81}{figure.7.5}
-\contentsline {subfigure}{\numberline {(f)}{\ignorespaces {fingerprint}}}{81}{figure.7.5}
-\contentsline {subfigure}{\numberline {(g)}{\ignorespaces {goldhill}}}{81}{figure.7.5}
-\contentsline {subfigure}{\numberline {(h)}{\ignorespaces {lena}}}{81}{figure.7.5}
-\contentsline {subfigure}{\numberline {(i)}{\ignorespaces {man}}}{81}{figure.7.5}
-\contentsline {subfigure}{\numberline {(j)}{\ignorespaces {mandrill}}}{81}{figure.7.5}
-\contentsline {subfigure}{\numberline {(k)}{\ignorespaces {peppers}}}{81}{figure.7.5}
-\contentsline {subfigure}{\numberline {(l)}{\ignorespaces {stream}}}{81}{figure.7.5}
-\contentsline {subfigure}{\numberline {(m)}{\ignorespaces {zelda}}}{81}{figure.7.5}
-\contentsline {figure}{\numberline {7.6}{\ignorespaces Histogramme des \IeC {\'e}carts angulaires entre la direction primaire de l'isoline optimale et celle du segment s\IeC {\'e}lectionn\IeC {\'e} par PI-LD avec $q=1$ (sans allongement), pour l'image du singe (Mandrill). Pour la tr\IeC {\`e}s grande majorit\IeC {\'e} des pixels, l'\IeC {\'e}cart est nul.}}{82}{figure.7.6}
-\contentsline {figure}{\numberline {7.7}{\ignorespaces Histogrammes des \IeC {\'e}carts angulaires entre la direction primaire de l'isoline optimale et celle de l'isoline s\IeC {\'e}lectionn\IeC {\'e}e, pour les images de l'ensemble de test de S. Lansel. La r\IeC {\'e}partition des erreurs est semblable dans toutes ces images, mais \IeC {\'e}galement dans toute image naturelle.}}{82}{figure.7.7}
-\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Airplane}}}{82}{figure.7.7}
-\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Barbara}}}{82}{figure.7.7}
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-\contentsline {subfigure}{\numberline {(l)}{\ignorespaces {Zelda}}}{82}{figure.7.7}
-\contentsline {figure}{\numberline {7.8}{\ignorespaces Exemple d'application du proc\IeC {\'e}d\IeC {\'e} d'allongement \IeC {\`a} une isoline comprenant initialement 2 segments. la longueur des segments est $a=5$. Le proc\IeC {\'e}d\IeC {\'e} se r\IeC {\'e}p\IeC {\`e}te jusqu'\IeC {\`a} ce que le test GLRT \IeC {\'e}choue.}}{84}{figure.7.8}
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-\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {Le motif de $s_3$ est lu dans $p_5$ et appliqu\IeC {\'e} en $(i_2,j_2)$. $C_x$ et $C_{x^2}$ sont donn\IeC {\'e}es par $I_{\Sigma }(i_2,j_2)$ et le test GLRT est effectu\IeC {\'e}.}}}{84}{figure.7.8}
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-\contentsline {figure}{\numberline {7.10}{\ignorespaces Comportement du mod\IeC {\`e}le PI-PD dans les zones de faible et \IeC {\`a} forte pente. On constate un manque de robustesse dans les zones \IeC {\`a} faible pente : les directions ne sont pas reproduites d'un tirage \IeC {\`a} l'autre, contrairement \IeC {\`a} celles de la zone de transition.}}{88}{figure.7.10}
-\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Image de r\IeC {\'e}f\IeC {\'e}rence.}}}{88}{figure.7.10}
-\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Image corrompue par le tirage de bruit $n^{\circ }1$}}}{88}{figure.7.10}
-\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {Image corrompue par le tirage de bruit $n^{\circ }2$}}}{88}{figure.7.10}
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-\contentsline {figure}{\numberline {7.13}{\ignorespaces Comparaison des rendus des traitements compar\IeC {\'e}s. Rang\IeC {\'e}e du haut : les images compl\IeC {\`e}tes. Rang\IeC {\'e}e du bas : Zooms sur une zone de l'\IeC {\'\i }mage au dessus.}}{90}{figure.7.13}
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-\contentsline {figure}{\numberline {7.15}{\ignorespaces Exemples de r\IeC {\'e}sultat de traitement par PI-PD RVB et par CBM3D pour deux images de la base tid2008 (une image naturelle et l'image de synth\IeC {\`e}se). Il peut \IeC {\^e}tre n\IeC {\'e}cessaire de zoomer sur le document num\IeC {\'e}rique pour visualiser les d\IeC {\'e}tails.}}{93}{figure.7.15}
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+\contentsline {figure}{\numberline {7.1}{\ignorespaces Exemple d'exploitation des lignes de niveaux. En haut : l'image originale et sa repr\IeC {\'e}sentation \IeC {\`a} l'\IeC {\'e}chelle $\times $150. En bas : les lignes de niveaux de l'image originale et celles utilis\IeC {\'e}es pour la mise \IeC {\`a} l'\IeC {\'e}chelle. Toutes les lignes de niveaux de l'image de droite existent \IeC {\`a} l'identique dans l'ensemble original. Illustration tir\IeC {\'e}e de \cite {Caselles99topographicmaps}.}}{76}{figure.7.1}
+\contentsline {figure}{\numberline {7.2}{\ignorespaces D\IeC {\'e}tail des motifs et de leur repr\IeC {\'e}sentation interne, pour la taille $a=5$. }}{77}{figure.7.2}
+\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Les 8 premi\IeC {\`e}res lignes de la table $P_5$. Les \IeC {\'e}l\IeC {\'e}ments sont les positions relatives des pixels de chaque motif par rapport au pixel central.}}}{77}{figure.7.2}
+\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Motifs des 8 premiers segments associ\IeC {\'e}s aux 8 premi\IeC {\`e}res lignes de $P_5$. Les pixels noirs repr\IeC {\'e}sentent le pixel trait\IeC {\'e} (ou pixel central), qui n'appartient pas au motif. Les pixels gris sont ceux qui constituent le motif.}}}{77}{figure.7.2}
+\contentsline {figure}{\numberline {7.3}{\ignorespaces Exemple de la r\IeC {\'e}partition des pixels dans la r\IeC {\'e}gion $\omega $ pour le calcul de la vraisemblance, pour $n=6$ ($a=5$).}}{78}{figure.7.3}
+\contentsline {figure}{\numberline {7.4}{\ignorespaces Allongement du segment $S^n$. Deux candidats $S^{p'}$ et $S^{p''}$ sont \IeC {\'e}valu\IeC {\'e}s au travers du test GLRT de l'\IeC {\'e}quation \textsuperscript {\hbox {\mathsurround \z@ \normalfont (\ignorespaces \ref {GLRT}\unskip \@@italiccorr )}}\xspace que seul $S^{p''}$ s'av\IeC {\`e}re satisfaire. a) Repr\IeC {\'e}sentation dans le plan de l'image. b) \IeC {\'E}volution des niveaux de gris en fonction de la position des pixels dans les lignes bris\IeC {\'e}es ainsi form\IeC {\'e}es.}}{79}{figure.7.4}
+\contentsline {figure}{\numberline {7.5}{\ignorespaces Processus de s\IeC {\'e}lection lors de l'allongement d'une isoline comportant initialement deux segments $s_1$ et $s_2$. Dans cet exemple $a=5$ et $\Delta d_{max}=2$. Chaque segment \IeC {\'e}valu\IeC {\'e} est soumis au test GLRT. Si au moins un des segments pr\IeC {\'e}sente un test GLRT positif, alors l'allongement est r\IeC {\'e}alis\IeC {\'e} avec le segment qui forme l'isoline la plus vraisemblable.}}{81}{figure.7.5}
+\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Isoline comprenant deux segments $s_1$ et $s_2$.}}}{81}{figure.7.5}
+\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Premier segment \IeC {\'e}valu\IeC {\'e}, associ\IeC {\'e} au motif $p_{5,0}$.}}}{81}{figure.7.5}
+\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {Deuxi\IeC {\`e}me segment \IeC {\'e}valu\IeC {\'e}, associ\IeC {\'e} au motif $p_{5,1}$.}}}{81}{figure.7.5}
+\contentsline {subfigure}{\numberline {(d)}{\ignorespaces {Troisi\IeC {\`e}me segment \IeC {\'e}valu\IeC {\'e}, associ\IeC {\'e} au motif $p_{5,2}$.}}}{81}{figure.7.5}
+\contentsline {subfigure}{\numberline {(e)}{\ignorespaces {Quatri\IeC {\`e}me segment \IeC {\'e}valu\IeC {\'e}, associ\IeC {\'e} au motif $p_{5,3}$.}}}{81}{figure.7.5}
+\contentsline {subfigure}{\numberline {(f)}{\ignorespaces {Cinqui\IeC {\`e}me segment \IeC {\'e}valu\IeC {\'e}, associ\IeC {\'e} au motif $p_{5,4}$.}}}{81}{figure.7.5}
+\contentsline {figure}{\numberline {7.6}{\ignorespaces Images non bruit\IeC {\'e}es de la base d'images en niveaux de gris de S. Lansel.}}{82}{figure.7.6}
+\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {airplane}}}{82}{figure.7.6}
+\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {boat}}}{82}{figure.7.6}
+\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {barbara}}}{82}{figure.7.6}
+\contentsline {subfigure}{\numberline {(d)}{\ignorespaces {couple}}}{82}{figure.7.6}
+\contentsline {subfigure}{\numberline {(e)}{\ignorespaces {elaine}}}{82}{figure.7.6}
+\contentsline {subfigure}{\numberline {(f)}{\ignorespaces {fingerprint}}}{82}{figure.7.6}
+\contentsline {subfigure}{\numberline {(g)}{\ignorespaces {goldhill}}}{82}{figure.7.6}
+\contentsline {subfigure}{\numberline {(h)}{\ignorespaces {lena}}}{82}{figure.7.6}
+\contentsline {subfigure}{\numberline {(i)}{\ignorespaces {man}}}{82}{figure.7.6}
+\contentsline {subfigure}{\numberline {(j)}{\ignorespaces {mandrill}}}{82}{figure.7.6}
+\contentsline {subfigure}{\numberline {(k)}{\ignorespaces {peppers}}}{82}{figure.7.6}
+\contentsline {subfigure}{\numberline {(l)}{\ignorespaces {stream}}}{82}{figure.7.6}
+\contentsline {subfigure}{\numberline {(m)}{\ignorespaces {zelda}}}{82}{figure.7.6}
+\contentsline {figure}{\numberline {7.7}{\ignorespaces Histogramme des \IeC {\'e}carts angulaires entre la direction primaire de l'isoline optimale et celle du segment s\IeC {\'e}lectionn\IeC {\'e} par PI-LD avec $q=1$ (sans allongement), pour l'image du singe (Mandrill). Pour la tr\IeC {\`e}s grande majorit\IeC {\'e} des pixels, l'\IeC {\'e}cart est nul.}}{83}{figure.7.7}
+\contentsline {figure}{\numberline {7.8}{\ignorespaces Histogrammes des \IeC {\'e}carts angulaires entre la direction primaire de l'isoline optimale et celle de l'isoline s\IeC {\'e}lectionn\IeC {\'e}e, pour les images de l'ensemble de test de S. Lansel. La r\IeC {\'e}partition des erreurs est semblable dans toutes ces images, mais \IeC {\'e}galement dans toute image naturelle.}}{83}{figure.7.8}
+\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Airplane}}}{83}{figure.7.8}
+\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Barbara}}}{83}{figure.7.8}
+\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {Boat}}}{83}{figure.7.8}
+\contentsline {subfigure}{\numberline {(d)}{\ignorespaces {Couple}}}{83}{figure.7.8}
+\contentsline {subfigure}{\numberline {(e)}{\ignorespaces {Elaine}}}{83}{figure.7.8}
+\contentsline {subfigure}{\numberline {(f)}{\ignorespaces {Finger}}}{83}{figure.7.8}
+\contentsline {subfigure}{\numberline {(g)}{\ignorespaces {Goldhill}}}{83}{figure.7.8}
+\contentsline {subfigure}{\numberline {(h)}{\ignorespaces {Lena}}}{83}{figure.7.8}
+\contentsline {subfigure}{\numberline {(i)}{\ignorespaces {Man}}}{83}{figure.7.8}
+\contentsline {subfigure}{\numberline {(j)}{\ignorespaces {Peppers}}}{83}{figure.7.8}
+\contentsline {subfigure}{\numberline {(k)}{\ignorespaces {Stream}}}{83}{figure.7.8}
+\contentsline {subfigure}{\numberline {(l)}{\ignorespaces {Zelda}}}{83}{figure.7.8}
+\contentsline {figure}{\numberline {7.9}{\ignorespaces Exemple d'application du proc\IeC {\'e}d\IeC {\'e} d'allongement \IeC {\`a} une isoline comprenant initialement 2 segments. la longueur des segments est $a=5$. Le proc\IeC {\'e}d\IeC {\'e} se r\IeC {\'e}p\IeC {\`e}te jusqu'\IeC {\`a} ce que le test GLRT \IeC {\'e}choue.}}{85}{figure.7.9}
+\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Isoline avec 2 segments $s_1$ et $s_2$ d\IeC {\'e}j\IeC {\`a} valid\IeC {\'e}s.}}}{85}{figure.7.9}
+\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {La direction de $s_3$ est l'\IeC {\'e}l\IeC {\'e}ment $(i_2,j_2)$ de $I_{\Theta }$.}}}{85}{figure.7.9}
+\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {Le motif de $s_3$ est lu dans $p_5$ et appliqu\IeC {\'e} en $(i_2,j_2)$. $C_x$ et $C_{x^2}$ sont donn\IeC {\'e}es par $I_{\Sigma }(i_2,j_2)$ et le test GLRT est effectu\IeC {\'e}.}}}{85}{figure.7.9}
+\contentsline {subfigure}{\numberline {(d)}{\ignorespaces {Si l'allongement est valid\IeC {\'e}, $s_3$ est d\IeC {\'e}finitivement int\IeC {\'e}gr\IeC {\'e}.}}}{85}{figure.7.9}
+\contentsline {figure}{\numberline {7.10}{\ignorespaces Situation de la r\IeC {\'e}gion servant \IeC {\`a} illustrer le comportant du mod\IeC {\`e}le PI-PD dans les zones \IeC {\`a} faible pente (LSR).}}{88}{figure.7.10}
+\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Image de r\IeC {\'e}f\IeC {\'e}rence non bruit\IeC {\'e}e.}}}{88}{figure.7.10}
+\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {La r\IeC {\'e}gion de 11$\times $11 pixels \IeC {\'e}tudi\IeC {\'e}e.}}}{88}{figure.7.10}
+\contentsline {figure}{\numberline {7.11}{\ignorespaces Comportement du mod\IeC {\`e}le PI-PD dans les zones de faible et \IeC {\`a} forte pente. On constate un manque de robustesse dans les zones \IeC {\`a} faible pente : les directions ne sont pas reproduites d'un tirage \IeC {\`a} l'autre, contrairement \IeC {\`a} celles de la zone de transition.}}{89}{figure.7.11}
+\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Image de r\IeC {\'e}f\IeC {\'e}rence.}}}{89}{figure.7.11}
+\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Image corrompue par le tirage de bruit $n^{\circ }1$}}}{89}{figure.7.11}
+\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {Image corrompue par le tirage de bruit $n^{\circ }2$}}}{89}{figure.7.11}
+\contentsline {subfigure}{\numberline {(d)}{\ignorespaces {Directions d\IeC {\'e}termin\IeC {\'e}es par le PI-PD pour le tirage $n^{\circ }1$}}}{89}{figure.7.11}
+\contentsline {subfigure}{\numberline {(e)}{\ignorespaces {Directions d\IeC {\'e}termin\IeC {\'e}e par le PI-PD pour le tirage $n^{\circ }2$}}}{89}{figure.7.11}
+\contentsline {figure}{\numberline {7.12}{\ignorespaces Motif de d\IeC {\'e}tection des zones \IeC {\`a} faible pente, pour le cas $\Theta =\Theta _4=45^{\circ }$. L'\IeC {\'e}l\IeC {\'e}vation des pixels permet juste de les distinguer selon 3 classes : l'\IeC {\'e}l\IeC {\'e}vation 1 est associ\IeC {\'e}e aux pixels de la r\IeC {\'e}gion $T$, l'\IeC {\'e}l\IeC {\'e}vation 0.5 est associ\IeC {\'e}e \IeC {\`a} ceux de la r\IeC {\'e}gion $B$ et l'\IeC {\'e}l\IeC {\'e}vation 0 d\IeC {\'e}signe les pixels n'intervenant pas dans la d\IeC {\'e}tection.}}{90}{figure.7.12}
+\contentsline {figure}{\numberline {7.13}{\ignorespaces Classification des pixels d'une image bruit\IeC {\'e}e, pour une valeur de seuil $T2=2$ du d\IeC {\'e}tecteur. (b) Les pixels en noir sont ceux \IeC {\`a} qui le PI-PD sera appliqu\IeC {\'e}. Les pixels gris se verront appliquer une moyenne sur tout ou partie du voisinage.}}{90}{figure.7.13}
+\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Image bruit\IeC {\'e}e}}}{90}{figure.7.13}
+\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Classification des pixels. }}}{90}{figure.7.13}
+\contentsline {figure}{\numberline {7.14}{\ignorespaces Comparaison des rendus des traitements compar\IeC {\'e}s. Rang\IeC {\'e}e du haut : les images compl\IeC {\`e}tes. Rang\IeC {\'e}e du bas : Zooms sur une zone de l'\IeC {\'\i }mage au dessus.}}{91}{figure.7.14}
+\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Image \textit {airplane} bruit\IeC {\'e}e.}}}{91}{figure.7.14}
+\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Image \textit {airplane} filtr\IeC {\'e}e par moyenneur 5$\times $5.}}}{91}{figure.7.14}
+\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {Image \textit {airplane} filtr\IeC {\'e}e par PI-PD hybride avec $a=5$, $q=5$, $T_{max}=2$ et $T2_{max}=2$.}}}{91}{figure.7.14}
+\contentsline {subfigure}{\numberline {(d)}{\ignorespaces {Image \textit {airplane} filtr\IeC {\'e}e par BM3D.}}}{91}{figure.7.14}
+\contentsline {figure}{\numberline {7.15}{\ignorespaces Images non bruit\IeC {\'e}es de la base tid2008.}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {I01}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {I02}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {I03}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(d)}{\ignorespaces {I04}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(e)}{\ignorespaces {I05}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(f)}{\ignorespaces {I06}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(g)}{\ignorespaces {I07}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(h)}{\ignorespaces {I08}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(i)}{\ignorespaces {I09}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(j)}{\ignorespaces {I10}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(k)}{\ignorespaces {I11}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(l)}{\ignorespaces {I12}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(m)}{\ignorespaces {I13}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(n)}{\ignorespaces {I14}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(o)}{\ignorespaces {I15}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(p)}{\ignorespaces {I16}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(q)}{\ignorespaces {I17}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(r)}{\ignorespaces {I18}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(s)}{\ignorespaces {I19}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(t)}{\ignorespaces {I20}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(u)}{\ignorespaces {I21}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(v)}{\ignorespaces {I22}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(w)}{\ignorespaces {I23}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(x)}{\ignorespaces {I24}}}{93}{figure.7.15}
+\contentsline {subfigure}{\numberline {(y)}{\ignorespaces {I25}}}{93}{figure.7.15}
+\contentsline {figure}{\numberline {7.16}{\ignorespaces Exemples de r\IeC {\'e}sultat de traitement par PI-PD RVB et par CBM3D pour deux images de la base tid2008 (une image naturelle et l'image de synth\IeC {\`e}se). Il peut \IeC {\^e}tre n\IeC {\'e}cessaire de zoomer sur le document num\IeC {\'e}rique pour visualiser les d\IeC {\'e}tails.}}{94}{figure.7.16}
+\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Image I09 bruit\IeC {\'e}e, PSNR-HVS-M=23,70~dB.}}}{94}{figure.7.16}
+\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Image I09 filtr\IeC {\'e}e par PI-PD, PSNR-HVS-M=27,62~dB.}}}{94}{figure.7.16}
+\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {Image I09 filtr\IeC {\'e}e par CBM3D, PSNR-HVS-M=33,26~dB.}}}{94}{figure.7.16}
+\contentsline {subfigure}{\numberline {(d)}{\ignorespaces {Image I25 bruit\IeC {\'e}e, PSNR-HVS-M=24,46~dB.}}}{94}{figure.7.16}
+\contentsline {subfigure}{\numberline {(e)}{\ignorespaces {Image I25 filtr\IeC {\'e}e par PI-PD, PSNR-HVS-M=24,62~dB.}}}{94}{figure.7.16}
+\contentsline {subfigure}{\numberline {(f)}{\ignorespaces {Image I25 filtr\IeC {\'e}e par CBM3D, PSNR-HVS-M=31,09~dB.}}}{94}{figure.7.16}
 \addvspace {10\p@ }
 \contentsline {figure}{\numberline {8.1}{\ignorespaces Application de la s\IeC {\'e}lection de m\IeC {\'e}diane par oubli \IeC {\`a} une fen\IeC {\^e}tre de $3\times 3$ pixels. }}{103}{figure.8.1}
 \contentsline {figure}{\numberline {8.2}{\ignorespaces Premi\IeC {\`e}re \IeC {\'e}tape d'identification des extrema pour un filtre 5$\times $5, avec maximisation de l'ILP (Instruction Level Parallelism) pour l'identification des extrema.}}{103}{figure.8.2}
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diff --git a/THESE/these.lot b/THESE/these.lot
index 8475436..e98893e 100644
--- a/THESE/these.lot
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@@ -11,9 +11,9 @@
 \contentsline {table}{\numberline {6.3}{\ignorespaces Acc\IeC {\'e}l\IeC {\'e}ration constat\IeC {\'e}e, pour le calcul des images cumul\IeC {\'e}es, de l'impl\IeC {\'e}mentation GPU (C2070) par rapport \IeC {\`a} l'impl\IeC {\'e}mentation CPU de r\IeC {\'e}f\IeC {\'e}rence.}}{66}{table.6.3}
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-\contentsline {table}{\numberline {7.2}{\ignorespaces Comparaison image par image de la qualit\IeC {\'e} de d\IeC {\'e}bruitage des filtres PI-LD et PI-PD hybride propos\IeC {\'e} par rapport \IeC {\`a} BM3D pris comme r\IeC {\'e}f\IeC {\'e}rence de qualit\IeC {\'e} et \IeC {\`a} un moyenneur GPU 5$\times $5 pris comme r\IeC {\'e}f\IeC {\'e}rence de rapidit\IeC {\'e}. Les param\IeC {\`e}tres du PI-LD/PI-PD sont $n=5$, $l=25$, $T_{max}=1$ et $T2_{max}=2$. La colonne 'Bruit\IeC {\'e}e' donne les mesures relatives \IeC {\`a} l'image d'entr\IeC {\'e}e corrompue par un bruit gaussien de moyenne nulle et d'\IeC {\'e}cart type $\sigma =25$. PI-LD s'ex\IeC {\'e}cute en 35~ms, PI-PD en 7,3~ms et BM3D en 4,3~s.}}{96}{table.7.2}
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+\contentsline {table}{\numberline {7.3}{\ignorespaces Comparaison image par image de la qualit\IeC {\'e} de d\IeC {\'e}bruitage du filtre PI-PD RVB propos\IeC {\'e} par rapport \IeC {\`a} BM3D pris comme r\IeC {\'e}f\IeC {\'e}rence de qualit\IeC {\'e}. Les param\IeC {\`e}tres du PI-PD sont $n=4$, $l=48$, $T_{rvb-max}=5$. La colonne 'noisy' donne les mesures relatives \IeC {\`a} l'image d'entr\IeC {\'e}e corrompue par tirage de bruit gaussien sur chaque canal ( moyenne nulle, \IeC {\'e}cart type $\sigma =25$).}}{98}{table.7.3}
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 %%EOF
diff --git a/THESE/these.tex b/THESE/these.tex
index a358865..f336861 100644
--- a/THESE/these.tex
+++ b/THESE/these.tex
@@ -84,7 +84,7 @@ Through extremely fine-tuned management of the different memory types available
 %%--------------------   
 %% Set the English keywords. They only appear if
 %% there is an English abstract
-\thesiskeywords[english]{GPU, Filtering, Image, Segmentation}
+\thesiskeywords[english]{GPU, Filtering, Image, Segmentation, Parallel, Median, Convolution}
     
 %% --------------------
 %% Set the French abstract
@@ -97,7 +97,7 @@ Dans cette thèse, nous proposons des méthodes conduisant à des implémentatio
 %%--------------------
 %% Set the French keywords. They only appear if
 %% there is an French abstract
-\thesiskeywords[french]{GPU, Filtrage, Image, Segmentation}
+\thesiskeywords[french]{GPU, Filtrage, Image, Segmentation, Parallèle, Médian, Convolution}
  
 %%--------------------
 %% Change the speciality of the PhD thesis
diff --git a/THESE/these.toc b/THESE/these.toc
index d038de9..7b6d33c 100644
--- a/THESE/these.toc
+++ b/THESE/these.toc
@@ -61,20 +61,20 @@
 \contentsline {subsection}{\numberline {6.3.5}Conclusion}{73}{subsection.6.3.5}
 \contentsline {chapter}{\numberline {7}R\IeC {\'e}duction de bruit par recherche des lignes de niveaux}{75}{chapter.7}
 \contentsline {section}{\numberline {7.1}Introduction}{75}{section.7.1}
-\contentsline {section}{\numberline {7.2}Pr\IeC {\'e}sentation de l'algorithme}{76}{section.7.2}
-\contentsline {subsection}{\numberline {7.2.1}Formulation}{76}{subsection.7.2.1}
-\contentsline {subsubsection}{\numberline {7.2.1.1}D\IeC {\'e}termination du premier segment}{76}{subsubsection.7.2.1.1}
-\contentsline {subsubsection}{\numberline {7.2.1.2}Isolines compos\IeC {\'e}es de plusieurs segments - crit\IeC {\`e}re d'allongement}{78}{subsubsection.7.2.1.2}
-\contentsline {section}{\numberline {7.3}Mod\IeC {\'e}lisation des isolines pour l'impl\IeC {\'e}mentation parall\IeC {\`e}le sur GPU}{79}{section.7.3}
-\contentsline {subsection}{\numberline {7.3.1}Isolines \IeC {\'e}valu\IeC {\'e}es semi-globalement}{80}{subsection.7.3.1}
-\contentsline {subsection}{\numberline {7.3.2}Isolines \IeC {\`a} segments pr\IeC {\'e}-\IeC {\'e}valu\IeC {\'e}s - mod\IeC {\`e}le PI-PD}{82}{subsection.7.3.2}
-\contentsline {subsection}{\numberline {7.3.3}Mod\IeC {\`e}le PI-PD hybride}{84}{subsection.7.3.3}
-\contentsline {subsubsection}{\numberline {7.3.3.1}Le d\IeC {\'e}tecteur de bords}{85}{subsubsection.7.3.3.1}
-\contentsline {section}{\numberline {7.4}R\IeC {\'e}sultats}{88}{section.7.4}
-\contentsline {section}{\numberline {7.5}Extension aux images couleurs}{90}{section.7.5}
-\contentsline {subsection}{\numberline {7.5.1}Expression du crit\IeC {\`e}re}{90}{subsection.7.5.1}
-\contentsline {subsection}{\numberline {7.5.2}R\IeC {\'e}sultats - analyse}{91}{subsection.7.5.2}
-\contentsline {section}{\numberline {7.6}Conclusion}{94}{section.7.6}
+\contentsline {section}{\numberline {7.2}Pr\IeC {\'e}sentation de l'algorithme}{77}{section.7.2}
+\contentsline {subsection}{\numberline {7.2.1}Formulation}{77}{subsection.7.2.1}
+\contentsline {subsubsection}{\numberline {7.2.1.1}D\IeC {\'e}termination du premier segment}{77}{subsubsection.7.2.1.1}
+\contentsline {subsubsection}{\numberline {7.2.1.2}Isolines compos\IeC {\'e}es de plusieurs segments - crit\IeC {\`e}re d'allongement}{79}{subsubsection.7.2.1.2}
+\contentsline {section}{\numberline {7.3}Mod\IeC {\'e}lisation des isolines pour l'impl\IeC {\'e}mentation parall\IeC {\`e}le sur GPU}{80}{section.7.3}
+\contentsline {subsection}{\numberline {7.3.1}Isolines \IeC {\'e}valu\IeC {\'e}es semi-globalement}{81}{subsection.7.3.1}
+\contentsline {subsection}{\numberline {7.3.2}Isolines \IeC {\`a} segments pr\IeC {\'e}-\IeC {\'e}valu\IeC {\'e}s - mod\IeC {\`e}le PI-PD}{83}{subsection.7.3.2}
+\contentsline {subsection}{\numberline {7.3.3}Mod\IeC {\`e}le PI-PD hybride}{85}{subsection.7.3.3}
+\contentsline {subsubsection}{\numberline {7.3.3.1}Le d\IeC {\'e}tecteur de bords}{86}{subsubsection.7.3.3.1}
+\contentsline {section}{\numberline {7.4}R\IeC {\'e}sultats}{89}{section.7.4}
+\contentsline {section}{\numberline {7.5}Extension aux images couleurs}{91}{section.7.5}
+\contentsline {subsection}{\numberline {7.5.1}Expression du crit\IeC {\`e}re}{91}{subsection.7.5.1}
+\contentsline {subsection}{\numberline {7.5.2}R\IeC {\'e}sultats - analyse}{92}{subsection.7.5.2}
+\contentsline {section}{\numberline {7.6}Conclusion}{95}{section.7.6}
 \contentsline {chapter}{\numberline {8}Le filtre m\IeC {\'e}dian sur GPU}{99}{chapter.8}
 \contentsline {section}{\numberline {8.1}Introduction}{99}{section.8.1}
 \contentsline {section}{\numberline {8.2}Les transferts de donn\IeC {\'e}es}{99}{section.8.2}
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diff --git "a/formulaire_these_2014 toute derni\303\250re version.odt" "b/formulaire_these_2014 toute derni\303\250re version.odt"
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literal 0
HcmV?d00001

-- 
2.39.5