{"id":145658,"date":"1993-01-01T00:00:00","date_gmt":"1993-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/regularizacion-estandar-y-adaptativa-via-pocs-en-problemas-modelados-por-una-ecuacion-de-fredholm-de-primera-especie-y-aplicaciones-a-deconvolucion\/"},"modified":"1993-01-01T00:00:00","modified_gmt":"1993-01-01T00:00:00","slug":"regularizacion-estandar-y-adaptativa-via-pocs-en-problemas-modelados-por-una-ecuacion-de-fredholm-de-primera-especie-y-aplicaciones-a-deconvolucion","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/regularizacion-estandar-y-adaptativa-via-pocs-en-problemas-modelados-por-una-ecuacion-de-fredholm-de-primera-especie-y-aplicaciones-a-deconvolucion\/","title":{"rendered":"Regularizacion estandar y adaptativa via pocs en problemas modelados por una ecuacion de fredholm de primera especie y aplicaciones a deconvolucion."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Carmen S\u00e1nchez Avila <\/strong><\/h2>\n<p>La ecuacion de fredholm de primera especie modela matematicamente un problema tradicional en el tratamiento digital de la se\u00f1al: la deconvolucion de se\u00f1ales. La resolucion de esta ecuacion es, generalmente, en espacios de hilbert un problema mal condicionado; se precisa por tanto una tecnica de regularizacion para su resolucion.  esta tesis:  1) formula, analiza, aplica y evalua diferentes algoritmos de regularizacion para la resolucion de esta ecuacion, basados en el metodo de operadores de proyeccion en conjuntos convexos (pocs) estandar; 2) introduce un nuevo metodo pocs adaptativo, mediante la definicion de nuevos operadores de proyeccion adaptativos; y, basados en el, formula, analiza, aplica y valora algoritmos pocs adaptativos de regularizacion -en el sentido de tikhonov-miller- para la resolucion de la ecuacion de fredholm de primera especie que modela este problema, estudiandose, a su vez, la convergencia de los nuevos metodos de regularizacion estandar y adaptativa via pocs.  los algoritmos formulados se aplican al problema concreto de la deconvolucion de secuencias dispersas con bordes y sinusoidales.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Regularizacion estandar y adaptativa via pocs en problemas modelados por una ecuacion de fredholm de primera especie y aplicaciones a deconvolucion.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Regularizacion estandar y adaptativa via pocs en problemas modelados por una ecuacion de fredholm de primera especie y aplicaciones a deconvolucion. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Carmen S\u00e1nchez Avila <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1993<\/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>Juan  Ram\u00f3n Vidal Roman\u00ed<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Carlos Vega Vicente <\/li>\n<li> Casar Corredera Jos\u00e9 R. (vocal)<\/li>\n<li>Domingo Docampo Amoedo (vocal)<\/li>\n<li> Sevilla De Lerma Miguel J. (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Carmen S\u00e1nchez Avila La ecuacion de fredholm de primera especie modela matematicamente un problema tradicional en el [&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":[1890,332,2528,126,16008,2489],"tags":[16170,47803,252179,30886,16164,50254],"class_list":["post-145658","post","type-post","status-publish","format-standard","hentry","category-ciencia-de-los-ordenadores","category-ciencias-tecnologicas","category-inteligencia-artificial","category-matematicas","category-politecnica-de-madrid","category-tecnologia-de-las-telecomunicaciones","tag-carlos-vega-vicente","tag-carmen-sanchez-avila","tag-casar-corredera-jose-r","tag-domingo-docampo-amoedo","tag-juan-ramon-vidal-romani","tag-sevilla-de-lerma-miguel-j"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/145658","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=145658"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/145658\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=145658"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=145658"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=145658"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}