{"id":14914,"date":"2018-03-09T09:01:49","date_gmt":"2018-03-09T09:01:49","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/modelado-jerarquico-de-objetos-3d-con-superficies-de-subdivision\/"},"modified":"2018-03-09T09:01:49","modified_gmt":"2018-03-09T09:01:49","slug":"modelado-jerarquico-de-objetos-3d-con-superficies-de-subdivision","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/ciencias-tecnologicas\/modelado-jerarquico-de-objetos-3d-con-superficies-de-subdivision\/","title":{"rendered":"Modelado jer\u00e1rquico de objetos 3d con superficies de subdivisi\u00f3n"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Francisco Mor\u00e1n Burgos <\/strong><\/h2>\n<p>Las sss (superficies de subdivisi\u00f3n) con un potente paradigma de modelado de objetos 3d (tridimensionales) que establece un puente entre los dos enfoques tradicionales a la aproximaci\u00f3n de superficies, basados en mallas poligonales y de parches alabeados, que conllevan problemas uno y otro. los esquemas de subdivisi\u00f3n permiten definir una superficie suave (a tramos), como las m\u00e1s frecuentes en la pr\u00e1ctica, como el l\u00edmite de un proceso recursivo de refinamiento de una malla de control burda, que puede ser descrita muy compactamente. Adem\u00e1s, la recursividad inherente a las sss establece naturalmente una relaci\u00f3n de anidamiento piramidal entre las mallas \/nds (niveles de detalle) generadas\/os sucesivamente, por lo que las sss se prestan extraordinariamente al amor (an\u00e1lisis multiresoluci\u00f3n mediante ond\u00edculas) de superficies, que tiene aplicaciones pr\u00e1cticas inmediatas e interesant\u00edsimas, como la codificaci\u00f3n y la edici\u00f3n jer\u00e1rquicas de modelos 3d.  empezamos describiendo los v\u00ednculos entre las tres \u00e1reas que han servido de base a nuestro trabajo (sss, extracci\u00f3n autom\u00e1tica de nds y amor) para explicar c\u00f3mo encajan estas tres piezas de puzzle del modelado jer\u00e1rquico de objetos de 3d con sss. E1 amor consiste en descomponer una funci\u00f3n en una versi\u00f3n burda suya y un conjunto de refinamientos aditivos anidados jer\u00e1rquicamente llamados \u00ab\u00bbcoeficientes ondiculares\u00bb\u00bb. La teor\u00eda cl\u00e1sica de ond\u00edculas estudia las se\u00f1ales cl\u00e1sicas nd: las definidas sobre dominios param\u00e9tricos homeomorfos a r\u00bb\u00bb o [0,1]n, como el audio (n=1), las im\u00e1gnes (n=2) o el v\u00eddeo (n=3). En topolog\u00edas menos triviales, como las variedades 2d (superficies en el espacio 3d), el amor no es tan obvio, pero sigue siendo posible si se enfoca desde la perspectiva de las sss. Basta con partir de una malla burda que aproxime a un bajo nd la superficie considerada, subdividirla recursivamente y, al hacerlo, ir a\u00f1adiendo los coeficientes ondiculares, que son los<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Modelado jer\u00e1rquico de objetos 3d con superficies de subdivisi\u00f3n<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Modelado jer\u00e1rquico de objetos 3d con superficies de subdivisi\u00f3n <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Francisco Mor\u00e1n Burgos <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 20\/12\/2001<\/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>Narciso Garc\u00eda Santos<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: guillermo Cisneros perez <\/li>\n<li>carmen S\u00e1nchez avila (vocal)<\/li>\n<li>touradj Ebradhimi (vocal)<\/li>\n<li>Antonio Vald\u00e9s morales (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Francisco Mor\u00e1n Burgos Las sss (superficies de subdivisi\u00f3n) con un potente paradigma de modelado de objetos 3d [&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":[332,16008,2489,5052],"tags":[7712,47803,47802,42218,16330,47804],"class_list":["post-14914","post","type-post","status-publish","format-standard","hentry","category-ciencias-tecnologicas","category-politecnica-de-madrid","category-tecnologia-de-las-telecomunicaciones","category-television","tag-antonio-valdes-morales","tag-carmen-sanchez-avila","tag-francisco-moran-burgos","tag-guillermo-cisneros-perez","tag-narciso-garcia-santos","tag-touradj-ebradhimi"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/14914","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=14914"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/14914\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=14914"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=14914"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=14914"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}