{"id":81961,"date":"2018-03-10T00:05:55","date_gmt":"2018-03-10T00:05:55","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/lattice-points-enumeration-using-the-l1-norm\/"},"modified":"2018-03-10T00:05:55","modified_gmt":"2018-03-10T00:05:55","slug":"lattice-points-enumeration-using-the-l1-norm","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/lattice-points-enumeration-using-the-l1-norm\/","title":{"rendered":"Lattice points enumeration using the l1 norm."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Joan Serra Sagrista <\/strong><\/h2>\n<p>El uso de ret\u00edculos como cuantizadores vectoriales en sistemas de compresi\u00f3n de im\u00e1genes fijas y de v\u00eddeo ha crecido notablmente en los \u00faltimos a\u00f1os. para conseguir un compromiso entre una distorsi\u00f3n m\u00ednima y una baja taxa de transmisi\u00f3n, deben truncarse los ret\u00edculos de manera que los puntos de ret\u00edculo escogidos, que condicionan el tama\u00f1o del c\u00f3digo, est\u00e9n dentro de una frontera finita. La determinaci\u00f3n de esta frontera depende de la fuente.  las propiedades geom\u00e9tricas de una fuente laplaciana sin memoria son adecuadas para modelar las estad\u00edsticas de las im\u00e1genes transformadas. en tal caso, la norma 1 es preferible a la norma 1-2, hecho que implica que la cl\u00e1sica serie theta de los ret\u00edculos no deba ser utilizada.  las t\u00e9cnicas presentadas por otros autores para realizar el proceso de etiquetage de los puntos de ret\u00edculo tienen el inconveniente de, o bien no conseguir una eficiencia plena en t\u00e9rminos de la cantidad de bits necesarios, o bien, se se consigue dicha eficiencia, es a cargo de un escesivo tiempo de computaci\u00f3n o de una capacidad de memoria demasiado elevada.  en esta tesis definimos los puntos del contorno, que cuentan los puntos de ret\u00edculo que se encuentran a distancia m de un punto de ret\u00edculo fijado, es decir, ayudan a establecer la frontera del ret\u00edculo (el tama\u00f1o).  se dan tambi\u00e9n expresiones combinat\u00f3ricas expl\u00edcitas para calcular los puntos del contorno para el ret\u00edculo de los enteros, para el ret\u00edculo raiz a, para el ret\u00edculo raiz d, para su dual d\u00c2\u00ba, para el empaquetado d+, y para ret\u00edculos resultantes de una construcci\u00f3n a o b. Estas expresiones son f\u00e1cilmente implementables en cualquier lenguaje de programaci\u00f3n, y son \u00fatiles para los algoritmos de etiquetage eficientes.  por \u00faltimo, se prueban diversas equiValencias combinat\u00f3ricas entre propuestas presentadas pro diversos autores.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Lattice points enumeration using the l1 norm.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Lattice points enumeration using the l1 norm. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Joan Serra Sagrista <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 21\/12\/1999<\/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>M. Buhmann Joachim<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: josep Rifa coma <\/li>\n<li>Manuel Gra\u00f1a romay (vocal)<\/li>\n<li>paul Bourret (vocal)<\/li>\n<li>marc Noy serrano (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Joan Serra Sagrista El uso de ret\u00edculos como cuantizadores vectoriales en sistemas de compresi\u00f3n de im\u00e1genes fijas [&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":[2809,1890,12500,15966,126,32513],"tags":[118324,12503,174614,39900,30936,174615],"class_list":["post-81961","post","type-post","status-publish","format-standard","hentry","category-algebra","category-ciencia-de-los-ordenadores","category-codigo-y-sistemas-de-codificacion","category-computacion-digital","category-matematicas","category-reticulos","tag-joan-serra-sagrista","tag-josep-rifa-coma","tag-m-buhmann-joachim","tag-manuel-grana-romay","tag-marc-noy-serrano","tag-paul-bourret"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/81961","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=81961"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/81961\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=81961"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=81961"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=81961"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}