{"id":54507,"date":"2006-11-09T00:00:00","date_gmt":"2006-11-09T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/procesado-de-geometria-en-cagd-mediante-s-series\/"},"modified":"2006-11-09T00:00:00","modified_gmt":"2006-11-09T00:00:00","slug":"procesado-de-geometria-en-cagd-mediante-s-series","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/diseno-con-ayuda-de-ordenador\/procesado-de-geometria-en-cagd-mediante-s-series\/","title":{"rendered":"Procesado de geometria en cagd mediante s-series"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Chac\u00f3n Mu\u00f1oz Jes\u00fas Miguel <\/strong><\/h2>\n<p>El dise\u00f1o geom\u00e9trico asistido por ordenador (cagd) se basa en la representaci\u00f3n de entidades geom\u00e9tricas en el est\u00e1ndar nurbs, por lo que se debe obtener una aproximaci\u00f3n polin\u00f3mica o racional de aquellas funciones trascendentes, entidades que no pueden ser expresadas en la base de bernstein. En principio se podr\u00eda pensar en una aproximaci\u00f3n mediante series de taylor truncadas. De esta forma se obtendr\u00eda una buena aproximaci\u00f3n alrededor de un punto, pero se precisar\u00edan grados muy elevados para errores peque\u00f1os y los programas de cad tienen limitado el grado m\u00e1ximo admisible. Una forma de evitar estos grados elevados ser\u00eda conectar varios desarrollos de taylor, pero en este caso aparecer\u00edan huecos en la uni\u00f3n de dos expansiones, algo inaceptable en una representaci\u00f3n para cad. en esta tesis se introduce la herramienta matem\u00e1tica b\u00e1sica empleada en este trabajo, las s-series. Estas series resultan de la base s-monomial, basada en expansiones de hermite en un intervalo unitario de la variable. Asimismo, se describen las estrategias para calcular de manera eficiente la aproximaci\u00f3n de una entidad mediante s-series. Seguidamente, se comparan las aproximaciones mediante s-series con las basadas en series de poisson. A continuaci\u00f3n, se aproxima la clotoide como ejemplo de aplicaci\u00f3n de las estrategias de aproximaci\u00f3n mediante s-series expuestas. Finalmente, se aplican las s-series a las t\u00e9cnicas de deformaci\u00f3n. El objetivo de este cap\u00edtulo consiste en conseguir una aproximaci\u00f3n polin\u00f3mica bernstein-b\u00e9zier de los objetos deformados.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Procesado de geometria en cagd mediante s-series<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Procesado de geometria en cagd mediante s-series <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Chac\u00f3n Mu\u00f1oz Jes\u00fas Miguel <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Castilla-la mancha<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 11\/09\/2006<\/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>reyes Fern\u00e1ndez S\u00e1nchez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: manuel Pe\u00f1a Juan <\/li>\n<li>gudrun Albrecht (vocal)<\/li>\n<li>Manuel P\u00e9rez victor (vocal)<\/li>\n<li>leonardo Fern\u00e1ndez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Chac\u00f3n Mu\u00f1oz Jes\u00fas Miguel El dise\u00f1o geom\u00e9trico asistido por ordenador (cagd) se basa en la representaci\u00f3n 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 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