[{"command":"insert","method":null,"selector":".course-modal-ajax-placeholder-959613","data":"\u003Cdiv class=\u0022container content-rte\u0022\u003E\n  \u003Cdiv class=\u0022row\u0022\u003E\n    \u003Cdiv class=\u0022box col-md-6 bg-primary text-white\u0022\u003E\n      \u003Ch2 class=\u0022h1 text-left\u0022\u003E  Sub-pixel Image Processing\n\u003C\/h2\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EECTS :\n          5\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ESemester:\n          Semestre 1\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ED\u00e9tail du volume horaire\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                          \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003ELecture:\u003C\/span\u003E\n                                      \u003Cspan\u003E20\u003C\/span\u003E\n                      \u003C\/div\u003E\n                                \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                          \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003EPractical study :\u003C\/span\u003E\n                                      \u003Cspan\u003E16\u003C\/span\u003E\n                      \u003C\/div\u003E\n                                                                          \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ELangue d\u0026#039;enseignement\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EFran\u00e7ais\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EEnseignement \u00e0 distance\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003Enon\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n    \u003Cdiv class=\u0022box col-md-6\u0022\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EPr\u00e9requis\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EInt\u00e9gration et transformation de Fourier, espaces L^p et l^p.\nProbabilit\u00e9s (vecteur al\u00e9atoire, vecteur gaussien).\nNotions de base en calcul diff\u00e9rentiel et g\u00e9om\u00e9trie diff\u00e9rentielle plane.\u003C\/p\u003E\n\u003Cp\u003EDes notions sur les distributions ne sont pas indispensables mais sont un plus.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EProgramme \/ plan \/ contenus\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EPlan du cours :\u003C\/p\u003E\n\u003Col\u003E\n\u003Cli\u003EFormation et repr\u00e9sentation des images num\u00e9riques.\u003C\/li\u003E\n\u003C\/ol\u003E\n\u003Cul\u003E\n\u003Cli\u003EProjection perspective, diffraction, num\u00e9risation, \u00e9chantillonnage. Th\u00e9or\u00e8me de Shannon, aliasing.\u003C\/li\u003E\n\u003C\/ul\u003E\n\u003Col start=\u00222\u0022\u003E\n\u003Cli\u003EInterpolation et transformations g\u00e9om\u00e9triques.\u003C\/li\u003E\n\u003C\/ol\u003E\n\u003Cul\u003E\n\u003Cli\u003EInterpolation de Shannon et transform\u00e9e de Fourier discr\u00e8te, d\u00e9composition periodic+smooth.\u003C\/li\u003E\n\u003Cli\u003EInterpolations directes et indirectes, splines, interpr\u00e9tation spectrale.\u003C\/li\u003E\n\u003Cli\u003ETranslations sous-pixelliques, zoom, rotation, extrapolation de spectre.\u003C\/li\u003E\n\u003Cli\u003EAliasing et super-r\u00e9solution.\u003C\/li\u003E\n\u003C\/ul\u003E\n\u003Col start=\u00223\u0022\u003E\n\u003Cli\u003EInterpr\u00e9tation de la phase de la transform\u00e9e de Fourier.\u003C\/li\u003E\n\u003C\/ol\u003E\n\u003Cul\u003E\n\u003Cli\u003EImages \u00e0 phase al\u00e9atoire, champs gaussiens et synth\u00e8se de textures.\u003C\/li\u003E\n\u003Cli\u003ECoh\u00e9rence de phase et mesure de nettet\u00e9.\u003C\/li\u003E\n\u003Cli\u003EApplication \u00e0 la d\u00e9convolution aveugle.\u003C\/li\u003E\n\u003C\/ul\u003E\n\u003Col start=\u00224\u0022\u003E\n\u003Cli\u003EPixel infinit\u00e9simal et op\u00e9rateurs diff\u00e9rentiels.\u003C\/li\u003E\n\u003C\/ol\u003E\n\u003Cul\u003E\n\u003Cli\u003EConsistance des sch\u00e9mas aux diff\u00e9rences finies.\u003C\/li\u003E\n\u003Cli\u003EVariation totale de Shannon.\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EObjectifs d\u0026#039;apprentissage\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EL\u0027objectif du cours est de comprendre en d\u00e9tail, sous plusieurs angles diff\u00e9rents, le lien entre les images num\u00e9riques, par nature discr\u00e8tes, et la r\u00e9alit\u00e9 continue qu\u0027elles repr\u00e9sentent.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EOrganisation g\u00e9n\u00e9rale et modalit\u00e9s p\u00e9dagogiques\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E8 s\u00e9ances \u0022cours + TP\u0022.\nExamen\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n                        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EBibliographie\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EL. Moisan, \u0022Modeling and Image Processing\u0022 (available on the course web page).\nL. Moisan, \u0022Periodic plus smooth image decomposition\u0022, Journal of Mathematical Imaging and Vision, vol 39:2, pp. 161-179, 2011 (available on the course web page).\nR. Abergel, L. Moisan, \u003Ccode\u003EThe Shannon Total Variation\u0027\u0027, Journal of Mathematical Imaging and Vision, 2017. A. Leclaire, L. Moisan, \u003C\/code\u003ENo-reference image quality assessment and blind deblurring with sharpness metrics exploiting Fourier phase information\u0027\u0027, Journal of Mathematical Imaging and Vision, 2015.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ENature de l\u0026#039;\u00e9valuation\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EEvaluation Continue non Int\u00e9grale\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n  \u003C\/div\u003E\n\u003C\/div\u003E\n","settings":null}]