{"id":4017,"date":"1994-01-01T00:00:00","date_gmt":"1994-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1994\/01\/01\/filtrado-y-restauracion-de-imagenes-y-senales-unidimensionales-a-traves-de-ecuaciones-diferenciales\/"},"modified":"1994-01-01T00:00:00","modified_gmt":"1994-01-01T00:00:00","slug":"filtrado-y-restauracion-de-imagenes-y-senales-unidimensionales-a-traves-de-ecuaciones-diferenciales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/filtrado-y-restauracion-de-imagenes-y-senales-unidimensionales-a-traves-de-ecuaciones-diferenciales\/","title":{"rendered":"\u00abfiltrado y restauracion de imagenes y se\u00f1ales unidimensionales a traves de ecuaciones diferenciales\u00bb."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Mazorra Manrique De Lara Luis <\/strong><\/h2>\n<p>Utilizando diversas tecnicas matematicas se aportan nuevos criterios para aproximar el filtrado gaussiano a traves de su equiValencia con la ecuacion del calor, concluyendo que los nuevos criterios introducidos mejoran tanto en velocidad como en calidad de aproximacion a los criterios clasicos. Se aborda el problema de la restauracion de se\u00f1ales unidimensionales formulandose un nuevo modelo para su restauracion a traves de una ecuacion de tipo hiperbolico no lineal. Se realiza un estudio de esta ecuacion diferencial haciendo especial hincapie en su analisis numerico. El modelo restaura bien los saltos importantes presentes en la se\u00f1al y es muy estable respecto a la introduccion de ruido. A su vez, se estudia el problema de la restauracion de imagenes, en donde partiendo de dos principios locales y naturales se introduce un nuevo modelo para la restauracion que no utiliza ningun conocimiento a priori sobre el tipo de degradacion sufrida por la imagen. El aspecto mas original radica en la combinacion de estos dos principios y el dise\u00f1o de un operador diferencial que genera discontinuidades de una forma controlada y estable. Como se muestra en las experiencias numericas, puede usarse con buenos resultados sobre un gran abanico de imagenes distintas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>\u00abfiltrado y restauracion de imagenes y se\u00f1ales unidimensionales a traves de ecuaciones diferenciales\u00bb.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 \u00abfiltrado y restauracion de imagenes y se\u00f1ales unidimensionales a traves de ecuaciones diferenciales\u00bb. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Mazorra Manrique De Lara Luis <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Palmas de gran canaria<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1994<\/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>Luis \u00e1lvarez Le\u00f3n<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Roberto Moreno Diaz <\/li>\n<li>Michel Morel Jean (vocal)<\/li>\n<li>Stanley Osher (vocal)<\/li>\n<li>Josep Blat Gimeno (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Mazorra Manrique De Lara Luis Utilizando diversas tecnicas matematicas se aportan nuevos criterios para aproximar el filtrado [&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":[1890,2528,126,16629],"tags":[16755,16752,16732,16753,16647,16754],"class_list":["post-4017","post","type-post","status-publish","format-standard","hentry","category-ciencia-de-los-ordenadores","category-inteligencia-artificial","category-matematicas","category-palmas-de-gran-canaria","tag-josep-blat-gimeno","tag-luis-alvarez-leon","tag-mazorra-manrique-de-lara-luis","tag-michel-morel-jean","tag-roberto-moreno-diaz","tag-stanley-osher"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/4017","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=4017"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/4017\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=4017"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=4017"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=4017"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}