-\contentsline {subsection}{\numberline {2.6.3}K-means, mean-shift et apparent\IeC {\'e}s}{32}{subsection.2.6.3}
-\contentsline {subsection}{\numberline {2.6.4}Snakes et Level set}{34}{subsection.2.6.4}
-\contentsline {subsection}{\numberline {2.6.5}Algorithmes hybrides}{37}{subsection.2.6.5}
-\contentsline {chapter}{\numberline {3}La segmentation orient\IeC {\'e}e r\IeC {\'e}gions dans les images bruit\IeC {\'e}es}{39}{chapter.3}
-\contentsline {section}{\numberline {3.1}Pr\IeC {\'e}sentation - existant}{39}{section.3.1}
-\contentsline {section}{\numberline {3.2}La parall\IeC {\`e}lisation du snake polygonal}{39}{section.3.2}
-\contentsline {chapter}{\numberline {4}Le filtrage des images sur GPU}{41}{chapter.4}
-\contentsline {section}{\numberline {4.1}Algorithme de r\IeC {\'e}duction de bruit par recherche des lignes de niveaux}{41}{section.4.1}
-\contentsline {section}{\numberline {4.2}Filtre m\IeC {\'e}dian}{41}{section.4.2}
-\contentsline {section}{\numberline {4.3}Filtres de convolution}{41}{section.4.3}
-\contentsline {chapter}{\numberline {5}Conclusion g\IeC {\'e}n\IeC {\'e}rale}{43}{chapter.5}
+\contentsline {subsection}{\numberline {2.6.3}K-means, mean-shift et apparent\IeC {\'e}s}{33}{subsection.2.6.3}
+\contentsline {subsection}{\numberline {2.6.4}Snakes et Level set}{35}{subsection.2.6.4}
+\contentsline {subsection}{\numberline {2.6.5}Algorithmes hybrides}{38}{subsection.2.6.5}
+\contentsline {section}{\numberline {2.7}Conclusion}{39}{section.2.7}
+\contentsline {chapter}{\numberline {3}La segmentation par snake polygonal orient\IeC {\'e} r\IeC {\'e}gions}{41}{chapter.3}
+\contentsline {section}{\numberline {3.1}Pr\IeC {\'e}sentation de l'algorithme}{41}{section.3.1}
+\contentsline {subsection}{\numberline {3.1.1}Formulation}{41}{subsection.3.1.1}
+\contentsline {subsection}{\numberline {3.1.2}Optimisation des calculs}{42}{subsection.3.1.2}
+\contentsline {subsection}{\numberline {3.1.3}Impl\IeC {\'e}mentation s\IeC {\'e}quentielle}{44}{subsection.3.1.3}
+\contentsline {subsection}{\numberline {3.1.4}Performances}{45}{subsection.3.1.4}
+\contentsline {section}{\numberline {3.2}Impl\IeC {\'e}mentation parall\IeC {\`e}le GPU du snake polygonal}{48}{section.3.2}
+\contentsline {subsection}{\numberline {3.2.1}pr\IeC {\'e}-calculs des images cumul\IeC {\'e}es}{48}{subsection.3.2.1}
+\contentsline {subsection}{\numberline {3.2.2}Calcul des contribution des segments}{49}{subsection.3.2.2}
+\contentsline {subsubsection}{\numberline {3.2.2.1}Cas particulier des segments dont la pente $k$ v\IeC {\'e}rifie $|k|\leq 1$}{53}{subsubsection.3.2.2.1}
+\contentsline {chapter}{\numberline {4}Le filtrage des images sur GPU}{57}{chapter.4}
+\contentsline {section}{\numberline {4.1}Algorithme de r\IeC {\'e}duction de bruit par recherche des lignes de niveaux}{57}{section.4.1}
+\contentsline {section}{\numberline {4.2}Filtre m\IeC {\'e}dian}{57}{section.4.2}
+\contentsline {section}{\numberline {4.3}Filtres de convolution}{57}{section.4.3}
+\contentsline {chapter}{\numberline {5}Conclusion g\IeC {\'e}n\IeC {\'e}rale}{59}{chapter.5}