{"id":75619,"date":"2005-11-07T00:00:00","date_gmt":"2005-11-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/numerical-simulation-of-shallow-water-equations-and-some-physical-models-in-image-processing\/"},"modified":"2005-11-07T00:00:00","modified_gmt":"2005-11-07T00:00:00","slug":"numerical-simulation-of-shallow-water-equations-and-some-physical-models-in-image-processing","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/numerical-simulation-of-shallow-water-equations-and-some-physical-models-in-image-processing\/","title":{"rendered":"Numerical simulation of shallow  water equations and some physical models in image processing"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Gl\u00f3ria Haro Ortega <\/strong><\/h2>\n<p>Los temas tratados en esta tesis son, por un lado, la simulaci\u00f3n num\u00e9rica de las ecuaciones de aguas someras (\u00abshallow waters\u00bb) y por otro, la resoluci\u00f3n de algunos problemas de procesamiento de im\u00e1genes.  la primera parte de la tesis se dedica a la resoluci\u00f3n num\u00e9rica de la ecuaciones de aguas someras. Proponemos un esquema combinado que usa la t\u00e9cnica de doble descomposici\u00f3n de flujos de marquina (extendida al caso no homog\u00e9neo) cuando los dos estados adyacentes no est\u00e1n pr\u00f3ximos y una \u00fanica descomposici\u00f3n en caso contrario. El esquema combinado verifica la propiedad c exacta. por otro lado, proponemos un tratamiento especial en los frentes seco\/mojado y en las situaciones de generaci\u00f3n de zona seca.  el segundo tema tratado es la simulaci\u00f3n digital de la noche americana (\u00abday for night\u00bb). El algoritmo propuesto simula una imagen nocturna a partir de una imagen diurna considerando varios aspectos de la percepci\u00f3n visual nocturna. Para simular la p\u00e9rdida de agudeza visual se propone una ecuaci\u00f3n en derivadas parciales que simula el principio de sumaci\u00f3n espacial de los fotoreceptores situados en la retina.  la restauraci\u00f3n de agujeros (\u00abinpainting\u00bb) en superficies es objeto de la tercera parte. Para ello se proponen varios enfoques geom\u00e9tricos basados en la curvatura media. Tambi\u00e9n se utilizan dos m\u00e9todos de interpolaci\u00f3n: la resoluci\u00f3n de la ecuaci\u00f3n de laplace y el m\u00e9todo amle (absolutely minimization lipschitz extension).  por \u00faltimo, dedicamos una parte a la restauraci\u00f3n de im\u00e1genes satelitales. proponemos un problema variacional basado en el modelo completo de adquisici\u00f3n de im\u00e1genes. Contiene, adem\u00e1s, un t\u00e9rmino basado en la variaci\u00f3n total de cara a regularizar la soluci\u00f3n. El m\u00e9todo de restauraci\u00f3n propuesto consigue obtener una colecci\u00f3n de muestras regulares a partir de un muestreo irregular, eliminando a la vez el ruido, deconvolucinando la imagen y haciendo un zoom.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Numerical simulation of shallow  water equations and some physical models in image processing<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Numerical simulation of shallow  water equations and some physical models in image processing <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Gl\u00f3ria Haro Ortega <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Pompeu fabra<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 11\/07\/2005<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Vicent Caselles Costa<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: josep Blat gimeno <\/li>\n<li>josep Mulet mestre (vocal)<\/li>\n<li>Carlos Par\u00e9s madro\u00f1al (vocal)<\/li>\n<li>pierre Kornprobst (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gl\u00f3ria Haro Ortega Los temas tratados en esta tesis son, por un lado, la simulaci\u00f3n num\u00e9rica de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[1191,3183,332,1526,3185,199,126,1525,18712,1193,93854,2489],"tags":[22832,163412,16755,163413,156762,27824],"class_list":["post-75619","post","type-post","status-publish","format-standard","hentry","category-analisis-numerico","category-analisis-y-analisis-funcional","category-ciencias-tecnologicas","category-colorimetria","category-ecuaciones-diferenciales-en-derivadas-parciales","category-fisica","category-matematicas","category-optica","category-pompeu-fabra","category-resolucion-de-ecuaciones-diferenciales-en-derivadas-parciales","category-tecnicas-cinematograficas","category-tecnologia-de-las-telecomunicaciones","tag-carlos-pares-madronal","tag-glaria-haro-ortega","tag-josep-blat-gimeno","tag-josep-mulet-mestre","tag-pierre-kornprobst","tag-vicent-caselles-costa"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/75619","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=75619"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/75619\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=75619"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=75619"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=75619"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}