{"id":143856,"date":"1993-01-01T00:00:00","date_gmt":"1993-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/nuevos-planteamientos-de-geometria-algebraica-real-en-robotica\/"},"modified":"1993-01-01T00:00:00","modified_gmt":"1993-01-01T00:00:00","slug":"nuevos-planteamientos-de-geometria-algebraica-real-en-robotica","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/nuevos-planteamientos-de-geometria-algebraica-real-en-robotica\/","title":{"rendered":"Nuevos planteamientos de geometria algebraica real en robotica."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Gonzalez Lopez M. Jose <\/strong><\/h2>\n<p>En la tesis, titulada \u00abnuevos planteamientos de geometria algebraica real en robotica\u00bb, se han abordado algunos problemas matematicos de caracter geometrico y computacional, cuya motivacion arranca del estudio de la cinematica de un sistema robotizado, utilizando para su resolucion metodos algoritmicos y herramientas teoricas propios de la geometria algebraica real. La tesis esta formada por siete capitulos, mas un capitulo o, que contiene una rese\u00f1a de los topicos que se utilizan de manera dispersa en diferentes capitulos de la memoria. En el primer capitulo, realizamos una clasificacion de las posiciones de un solido rigido modulo cambio de base directo. En el capitulo ii tratamos acerca de la \u00abrealidad\u00bb del ideal de la variedad algebraica de los movimientos de un solido rigido. En el tercer capitulo tratamos el problema fundamental en robotica de las parametrizaciones del conjunto de movimientos, desde el punto de vista mas amplio de las parametrizaciones de conjuntos semialgebraicos. El capitulo iv aborda el problema de la posibilidad de computar el diagrama de voronoi de una nube de puntos en el espacio de posiciones de un robot para una distancia riemaniana en la variedad diferenciable se (3). En el capitulo v se estudia la resolucion algebraica de la cinematica inversa del robot romin mediante tecnicas de evaluacion dinamica. En el capitulo vi estudiamos el problema de realizacion, de una trayectoria prefijada para la mano de un manipulador. En el capitulo vii, resolvemos un caso particular del problema de planificacion de tareas de robot.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Nuevos planteamientos de geometria algebraica real en robotica.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Nuevos planteamientos de geometria algebraica real en robotica. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Gonzalez Lopez M. Jose <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Cantabria<\/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>Tomas Recio Mu\u00f1iz<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jaime Puig-pey Echebeste <\/li>\n<li>Antonio Campillo L\u00f3pez (vocal)<\/li>\n<li>F. Canny John (vocal)<\/li>\n<li>Carme Torras Gen\u00eds (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gonzalez Lopez M. Jose En la tesis, titulada \u00abnuevos planteamientos de geometria algebraica real en robotica\u00bb, se [&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":[2809,10518,332,5301,126,7742,2535],"tags":[9617,30937,258598,45643,26354,3530],"class_list":["post-143856","post","type-post","status-publish","format-standard","hentry","category-algebra","category-cantabria","category-ciencias-tecnologicas","category-geometria-algebraica","category-matematicas","category-robotica","category-tecnologia-de-los-ordenadores","tag-antonio-campillo-lopez","tag-carme-torras-genis","tag-f-canny-john","tag-gonzalez-lopez-m-jose","tag-jaime-puig-pey-echebeste","tag-tomas-recio-muniz"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/143856","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=143856"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/143856\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=143856"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=143856"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=143856"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}