{"id":589,"date":"2015-09-08T09:59:46","date_gmt":"2015-09-08T09:59:46","guid":{"rendered":"http:\/\/halley.uis.edu.co\/clases\/lnunez\/?page_id=589"},"modified":"2015-09-08T11:00:51","modified_gmt":"2015-09-08T11:00:51","slug":"mat-avanzadas-trabajos","status":"publish","type":"page","link":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/?page_id=589","title":{"rendered":"Mat Avanzadas: Trabajos"},"content":{"rendered":"<h2>Trabajo 1: la utilidad de las representaciones de espacios vectoriales<\/h2>\n<p>Tal y como se ha insistido los espacios vectoriales nos sirven para representar un conjunto de objetos que hemos pensado como desconectados. A continuaci\u00f3n presentamos algunos temas para que grupos de a 2 puedan desarrollar. Los temas van acompa\u00f1ados de algunas referencias que sirven para ejemplificarlo y contextualizarlo.<\/p>\n<h3>Los temas<\/h3>\n<ul>\n<li><strong>Representaci\u00f3n de superficies en base a polinomios ortogonales<\/strong>\n<ul>\n<li>S.\u00a0Omachi y M. Omachi\u00a0Fast template matching with polynomials<i>\u00a0<\/i><i>IEEE Transactions on\u00a0Image Processing,\u00a0<\/i><b><i>8\u00a0<\/i><\/b>2139\u20132149 (2007)<\/li>\n<li>\u00a0<a href=\"http:\/\/www.cse.usf.edu\/~r1k\/MachineVisionBook\/MachineVision.pdf\">MACHINE VISION de\u00a0R. Jain, R. Kasturi, B. G. Schunck\u00a0McGraw-Hill, 1995<\/a>\u00a0Capt 13 13.7.1 en la cual se aproxima la superficie por un producto tensorial de polinomios c\u00fabicos.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Fundamentos de computaci\u00f3n gr\u00e1fica.<\/strong>\n<ul>\n<li>Gomes, J., &amp; Velho, L. (1995). Abstraction paradigms for computer graphics.\u00a0<i>The Visual Computer<\/i>,\u00a0<i>11<\/i>(5), 227-239.<\/li>\n<li>Goldman, R. (2002). On the algebraic and geometric foundations of computer graphics.\u00a0<i>ACM Transactions on Graphics (TOG)<\/i>,\u00a0<i>21<\/i>(1), 52-86.<\/li>\n<li>Alexa, M. (2002, July). Linear combination of transformations. In\u00a0<i>ACM Transactions on Graphics (TOG)<\/i>\u00a0(Vol. 21, No. 3, pp. 380-387). ACM.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Vectores abstractos que representan objetos y bases para reconocer patrones.<\/strong> Una de las formas de reconocimiento de patrones se fundamenta en generar una base de vectores abstractos (en este caso: se\u00f1ales, caras, orejas, por mencionar algunas) y expresar los otros posibles vectores abstractos, como combinaci\u00f3n lineal de esos objetos \u00ablinealmente independientes\u00bb. De esta forma encontramos:\n<ul>\n<li>\u00a0Autocaras (<em>Eingenfaces<\/em>):\n<ul>\n<li>Agarwal, M., Jain, N., Kumar, M. M., &amp; Agrawal, H. (2010). Face recognition using eigen faces and artificial neural network<em>.<\/em><strong><em>\u00a0<\/em><\/strong><em>International Journal of Computer Theory and Engineering<\/em><strong><em>,\u00a0<\/em>2<\/strong>(4), 1793-8201.<\/li>\n<li>Belhumeur, P. N., Hespanha, J. P., &amp; Kriegman, D. J. (1997). Eigenfaces vs. fisherfaces: Recognition using class specific linear projection.\u00a0<i>Pattern Analysis and Machine Intelligence, IEEE Transactions on<\/i>,\u00a0<i>19<\/i>(7), 711-720.<\/li>\n<li>Turk, M., &amp; Pentland, A. (1991). Eigenfaces for recognition.\u00a0<i>Journal of cognitive neuroscience<\/i>,\u00a0<i>3<\/i>(1), 71-86.<\/li>\n<li>Gong, S., Ong, E. J., &amp; McKenna, S. J. (1998). Learning to Associate Faces across Views in Vector Space of Similarities to Prototypes. In\u00a0<i>BMVC<\/i>\u00a0(pp. 1-10).<\/li>\n<\/ul>\n<\/li>\n<li>Autovoces (<em>Eigenvoices<\/em>)\n<ul>\n<li>Kuhn, R., Junqua, J. C., Nguyen, P., &amp; Niedzielski, N. (2000). Rapid speaker adaptation in eigenvoice space.\u00a0<i>Speech and Audio Processing, IEEE Transactions on<\/i>,\u00a0<i>8<\/i>(6), 695-707.<\/li>\n<li>Chu, S. M., Tang, H., &amp; Huang, T. S. (2009, April). Fishervoice and semi-supervised speaker clustering. In\u00a0<i>Acoustics, Speech and Signal Processing, 2009. ICASSP 2009. IEEE International Conference on<\/i>\u00a0(pp. 4089-4092). IEEE.<\/li>\n<\/ul>\n<\/li>\n<li>Autoorejas (<em>Eigenears<\/em>)\n<ul>\n<li>Yan, P., &amp; Bowyer, K. W. (2007). Biometric recognition using 3D ear shape.<i>Pattern Analysis and Machine Intelligence, IEEE Transactions on<\/i>,\u00a0<i>29<\/i>(8), 1297-1308.<\/li>\n<li>Yan, P. (2006).\u00a0<i>Ear biometrics in human identification<\/i>(Doctoral dissertation, University of Notre Dame).<\/li>\n<\/ul>\n<\/li>\n<li>Autose\u00f1ales\n<ul>\n<li>Behrens, R. T., &amp; Scharf, L. L. (1994). Signal processing applications of oblique projection operators.\u00a0<i>Signal Processing, IEEE Transactions on<\/i>,\u00a0<i>42<\/i>(6), 1413-1424.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li><strong>Problemas de Inversi\u00f3n lineal<\/strong>\n<ul>\n<li>Ribes, A., &amp; Schmitt, F. (2008). Linear inverse problems in imaging.\u00a0<i>Signal Processing Magazine, IEEE<\/i>,\u00a0<i>25<\/i>(4), 84-99.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Extensi\u00f3n a otros espacios vectoriales y su aplicaci\u00f3n en F\u00edsica<\/strong>\n<ul>\n<li>Hestenes, D. (1971). Vectors, spinors, and complex numbers in classical and quantum physics.\u00a0<i>Am. J. Phys<\/i>,\u00a0<i>39<\/i>(9), 1013-1027.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Trabajo 1: la utilidad de las representaciones de espacios vectoriales Tal y como se ha insistido los espacios vectoriales nos sirven para representar un conjunto de objetos que hemos pensado como desconectados. A continuaci\u00f3n presentamos algunos temas para que grupos &hellip; <a href=\"https:\/\/halley.uis.edu.co\/clases\/lnunez\/?page_id=589\">Sigue leyendo <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":549,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"class_list":["post-589","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=\/wp\/v2\/pages\/589","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=589"}],"version-history":[{"count":15,"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=\/wp\/v2\/pages\/589\/revisions"}],"predecessor-version":[{"id":605,"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=\/wp\/v2\/pages\/589\/revisions\/605"}],"up":[{"embeddable":true,"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=\/wp\/v2\/pages\/549"}],"wp:attachment":[{"href":"https:\/\/halley.uis.edu.co\/clases\/lnunez\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=589"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}