{"id":23,"date":"2016-04-19T02:09:40","date_gmt":"2016-04-19T02:09:40","guid":{"rendered":"http:\/\/www.eduardoroacg.com\/web\/?page_id=23"},"modified":"2018-05-11T00:08:34","modified_gmt":"2018-05-11T00:08:34","slug":"lectures","status":"publish","type":"page","link":"https:\/\/www.eduardoroacg.com\/web\/lectures\/","title":{"rendered":"Lectures"},"content":{"rendered":"<p><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-background-position:left center;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:20px;--awb-padding-right:30px;--awb-padding-bottom:5px;--awb-padding-left:30px;--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-first\" style=\"--awb-bg-size:cover;width:30.6666%; margin-right: 4%;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:40px;width:100%;\"><div class=\"fusion-separator-border sep-double sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;border-color:#e0dede;border-top-width:1px;border-bottom-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_1_3 1_3 fusion-one-third\" style=\"--awb-bg-position:left center;--awb-bg-size:cover;width:30.6666%; margin-right: 4%;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-1\"><h1 style=\"text-align: center;\">LECTURES<\/h1>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-2 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-last\" style=\"--awb-bg-size:cover;width:30.6666%;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:40px;width:100%;\"><div class=\"fusion-separator-border sep-double sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;border-color:#e0dede;border-top-width:1px;border-bottom-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-2 hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-background-position:left center;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:4px;--awb-padding-right:0px;--awb-padding-bottom:-4px;--awb-padding-left:0px;--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-3 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-first\" style=\"--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-image-element fusion-image-align-center in-legacy-container\" style=\"text-align:center;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><div class=\"imageframe-align-center\"><span class=\" fusion-imageframe imageframe-none imageframe-1 hover-type-none\"><img decoding=\"async\" src=\"http:\/\/www.eduardoroacg.com\/web\/wp-content\/uploads\/2016\/04\/expo_hrd01.jpg\" alt class=\"img-responsive\"\/><\/span><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-4 fusion_builder_column_1_3 1_3 fusion-one-third\" style=\"--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-image-element fusion-image-align-center in-legacy-container\" style=\"text-align:center;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><div class=\"imageframe-align-center\"><span class=\" fusion-imageframe imageframe-none imageframe-2 hover-type-none\"><img decoding=\"async\" src=\"http:\/\/www.eduardoroacg.com\/web\/wp-content\/uploads\/2016\/04\/expor_gi.jpg\" alt class=\"img-responsive\"\/><\/span><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-5 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-last\" style=\"--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-image-element fusion-image-align-center in-legacy-container\" style=\"text-align:center;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><div class=\"imageframe-align-center\"><span class=\" fusion-imageframe imageframe-none imageframe-3 hover-type-none\"><img decoding=\"async\" src=\"http:\/\/www.eduardoroacg.com\/web\/wp-content\/uploads\/2016\/04\/expor_shaders01.jpg\" alt class=\"img-responsive\"\/><\/span><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-3 hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-overflow:visible;--awb-padding-right:0px;--awb-padding-left:0px;--awb-margin-top:-22px;--awb-background-color:rgba(255,255,255,0);--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-6 fusion_builder_column_1_1 1_1 fusion-one-full fusion-column-first fusion-column-last fusion-column-no-min-height\" style=\"--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;width:100%;\"><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-4 hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-background-position:right center;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:0px;--awb-padding-right:0px;--awb-padding-bottom:0px;--awb-padding-left:0px;--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-7 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-first\" style=\"--awb-padding-top:30px;--awb-padding-right:30px;--awb-padding-bottom:30px;--awb-padding-left:30px;--awb-bg-color:#1f181a;--awb-bg-color-hover:#1f181a;--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-2\"><h4 style=\"text-align: center;\"><span style=\"color: #ffcc66;\">HDRI (High Dynamic Range Image)<\/span><\/h4>\n<\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:5px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;border-color:#e0dede;border-top-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-text fusion-text-3\"><p style=\"text-align: left; color: #ffffff;\"><strong>Location:<\/strong> UCV \u2013 Digital Image Processing.<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Language:<\/strong> Spanish<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Date:<\/strong> March\/2012<\/p>\n<p style=\"text-align: left; color: #ffcc66;\"><strong><a style=\"text-align: left; color: #ffcc66;\" href=\"https:\/\/www.eduardoroacg.com\/downloads\/lectures\/expoHDRI.pdf\" target=\"_blank\" rel=\"noopener\">Download (pdf)<\/a><\/strong><\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-8 fusion_builder_column_1_3 1_3 fusion-one-third\" style=\"--awb-padding-top:30px;--awb-padding-right:30px;--awb-padding-bottom:30px;--awb-padding-left:30px;--awb-bg-color:#292426;--awb-bg-color-hover:#292426;--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-4\"><h4 style=\"text-align: center;\"><span style=\"color: #ffcc66;\">Global Illumination Introduction<\/span><\/h4>\n<\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:5px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;border-color:#e0dede;border-top-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-text fusion-text-5\"><p style=\"text-align: left; color: #ffffff;\"><strong>Location:<\/strong> USB \u2013 Computer Dpto. Seminar<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Language:<\/strong> Spanish<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Date:<\/strong> Dic\/2012<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong><a style=\"text-align: left; color: #ffcc66;\" href=\"https:\/\/www.eduardoroacg.com\/downloads\/lectures\/expoIntroGI01.pdf\" target=\"_blank\" rel=\"noopener\">Download (pdf)<\/a><\/strong><\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-9 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-last\" style=\"--awb-padding-top:30px;--awb-padding-right:30px;--awb-padding-bottom:30px;--awb-padding-left:30px;--awb-bg-color:#312c2e;--awb-bg-color-hover:#312c2e;--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-6\"><h4 style=\"text-align: center;\"><span style=\"color: #ffcc66;\">Shaders Introduction<\/span><\/h4>\n<\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:5px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;border-color:#e0dede;border-top-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-text fusion-text-7\"><p style=\"text-align: left; color: #ffffff;\"><strong>Location:<\/strong> GameExpo 2012 \u2013 Caracas\/Venezuela.<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Language:<\/strong> Spanish<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Date:<\/strong> Dic\/2012<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong><a style=\"text-align: left; color: #ffcc66;\" href=\"https:\/\/www.eduardoroacg.com\/downloads\/lectures\/expoIntroShader01.pdf\" target=\"_blank\" rel=\"noopener\">Download (pdf)<\/a><\/strong><\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-5 hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-background-position:left center;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:4px;--awb-padding-right:0px;--awb-padding-bottom:-4px;--awb-padding-left:0px;--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-10 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-first\" style=\"--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-image-element fusion-image-align-center in-legacy-container\" style=\"text-align:center;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><div class=\"imageframe-align-center\"><span class=\" fusion-imageframe imageframe-none imageframe-4 hover-type-none\"><img decoding=\"async\" src=\"http:\/\/www.eduardoroacg.com\/web\/wp-content\/uploads\/2016\/04\/expor_animacion01.jpg\" alt class=\"img-responsive\"\/><\/span><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-11 fusion_builder_column_1_3 1_3 fusion-one-third\" style=\"--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-image-element fusion-image-align-center in-legacy-container\" style=\"text-align:center;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><div class=\"imageframe-align-center\"><span class=\" fusion-imageframe imageframe-none imageframe-5 hover-type-none\"><img decoding=\"async\" src=\"http:\/\/www.eduardoroacg.com\/web\/wp-content\/uploads\/2016\/04\/expo_algConforme01.jpg\" alt class=\"img-responsive\"\/><\/span><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-12 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-last\" style=\"--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-image-element fusion-image-align-center in-legacy-container\" style=\"text-align:center;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><div class=\"imageframe-align-center\"><span class=\" fusion-imageframe imageframe-none imageframe-6 hover-type-none\"><img decoding=\"async\" src=\"http:\/\/www.eduardoroacg.com\/web\/wp-content\/uploads\/2016\/04\/expo_iluminacion01.jpg\" alt class=\"img-responsive\"\/><\/span><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-6 hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-overflow:visible;--awb-padding-right:0px;--awb-padding-left:0px;--awb-margin-top:-22px;--awb-background-color:rgba(255,255,255,0);--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-13 fusion_builder_column_1_1 1_1 fusion-one-full fusion-column-first fusion-column-last fusion-column-no-min-height\" style=\"--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;width:100%;\"><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-7 hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-background-position:right center;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:0px;--awb-padding-right:0px;--awb-padding-bottom:0px;--awb-padding-left:0px;--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-14 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-first\" style=\"--awb-padding-top:30px;--awb-padding-right:30px;--awb-padding-bottom:30px;--awb-padding-left:30px;--awb-bg-color:#1f181a;--awb-bg-color-hover:#1f181a;--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-8\"><h4 style=\"text-align: center;\"><span style=\"color: #ffcc66;\">Principles Animation 3D<\/span><\/h4>\n<\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:5px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;border-color:#e0dede;border-top-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-text fusion-text-9\"><p style=\"text-align: left; color: #ffffff;\"><strong>Date:<\/strong> UCV \u2013 Invitado.<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Language:<\/strong> Spanish<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Date:<\/strong> January\/2010<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong><a style=\"text-align: left; color: #ffcc66;\" href=\"https:\/\/www.eduardoroacg.com\/downloads\/lectures\/expoAni01.pdf\" target=\"_blank\" rel=\"noopener\">Download (pdf)<\/a><\/strong><\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-15 fusion_builder_column_1_3 1_3 fusion-one-third\" style=\"--awb-padding-top:30px;--awb-padding-right:30px;--awb-padding-bottom:30px;--awb-padding-left:30px;--awb-bg-color:#292426;--awb-bg-color-hover:#292426;--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-10\"><h4 style=\"text-align: center;\"><span style=\"color: #ffcc66;\">Geometric Algebra Introduction<\/span><\/h4>\n<\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:5px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;border-color:#e0dede;border-top-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-text fusion-text-11\"><p style=\"text-align: left; color: #ffffff;\"><strong>Location:<\/strong> UCV \u2013 CGGA.<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Language:<\/strong> Spanish<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Date:<\/strong> Dic\/2009<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong><a style=\"text-align: left; color: #ffcc66;\" href=\"https:\/\/www.eduardoroacg.com\/downloads\/lectures\/expoAlgGeo01.pdf\" target=\"_blank\" rel=\"noopener\">Download (pdf)<\/a><\/strong><\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-16 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-last\" style=\"--awb-padding-top:30px;--awb-padding-right:30px;--awb-padding-bottom:30px;--awb-padding-left:30px;--awb-bg-color:#312c2e;--awb-bg-color-hover:#312c2e;--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-12\"><h4 style=\"text-align: center;\"><span style=\"color: #ffcc66;\">Lighting Basics<\/span><\/h4>\n<\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:5px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;border-color:#e0dede;border-top-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-text fusion-text-13\"><p style=\"text-align: left; color: #ffffff;\"><strong>Location:<\/strong> UCV Siggraph Student Chapter.<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Language:<\/strong> Spanish<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Date:<\/strong> November\/2009<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong><a style=\"text-align: left; color: #ffcc66;\" href=\"https:\/\/www.eduardoroacg.com\/downloads\/lectures\/expoLight01.pdf\" target=\"_blank\" rel=\"noopener\">Download (pdf)<\/a><\/strong><\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-8 hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-background-position:left center;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:20px;--awb-padding-right:30px;--awb-padding-bottom:5px;--awb-padding-left:30px;--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-17 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-first\" style=\"--awb-bg-size:cover;width:30.6666%; margin-right: 4%;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:40px;width:100%;\"><div class=\"fusion-separator-border sep-double sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;border-color:#e0dede;border-top-width:1px;border-bottom-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-18 fusion_builder_column_1_3 1_3 fusion-one-third\" style=\"--awb-bg-position:left center;--awb-bg-size:cover;width:30.6666%; margin-right: 4%;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-14\"><h1 style=\"text-align: center;\">Articles<\/h1>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-19 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-last\" style=\"--awb-bg-size:cover;width:30.6666%;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:40px;width:100%;\"><div class=\"fusion-separator-border sep-double sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;border-color:#e0dede;border-top-width:1px;border-bottom-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-9 hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-background-position:left center;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:4px;--awb-padding-right:0px;--awb-padding-bottom:-4px;--awb-padding-left:0px;--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-20 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-first\" style=\"--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-image-element fusion-image-align-center in-legacy-container\" style=\"text-align:center;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><div class=\"imageframe-align-center\"><span class=\" fusion-imageframe imageframe-none imageframe-7 hover-type-none\"><img decoding=\"async\" src=\"http:\/\/www.eduardoroacg.com\/web\/wp-content\/uploads\/2016\/04\/articulo_cimenis.jpg\" alt class=\"img-responsive\"\/><\/span><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-21 fusion_builder_column_1_3 1_3 fusion-one-third\" style=\"--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-image-element fusion-image-align-center in-legacy-container\" style=\"text-align:center;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><div class=\"imageframe-align-center\"><span class=\" fusion-imageframe imageframe-none imageframe-8 hover-type-none\"><img decoding=\"async\" src=\"http:\/\/www.eduardoroacg.com\/web\/wp-content\/uploads\/2016\/04\/articulo_siag.jpg\" alt class=\"img-responsive\"\/><\/span><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-22 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-last\" style=\"--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-image-element fusion-image-align-center in-legacy-container\" style=\"text-align:center;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><div class=\"imageframe-align-center\"><span class=\" fusion-imageframe imageframe-none imageframe-9 hover-type-none\"><img decoding=\"async\" src=\"http:\/\/www.eduardoroacg.com\/web\/wp-content\/uploads\/2016\/04\/tesisMaestria01.jpg\" alt class=\"img-responsive\"\/><\/span><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-10 hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-overflow:visible;--awb-padding-right:0px;--awb-padding-left:0px;--awb-margin-top:-22px;--awb-background-color:rgba(255,255,255,0);--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-23 fusion_builder_column_1_1 1_1 fusion-one-full fusion-column-first fusion-column-last fusion-column-no-min-height\" style=\"--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;width:100%;\"><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-11 hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-background-position:right center;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:0px;--awb-padding-right:0px;--awb-padding-bottom:0px;--awb-padding-left:0px;--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-24 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-first\" style=\"--awb-padding-top:30px;--awb-padding-right:30px;--awb-padding-bottom:30px;--awb-padding-left:30px;--awb-bg-color:#1f181a;--awb-bg-color-hover:#1f181a;--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-15\"><h4 style=\"text-align: center;\"><span style=\"color: #ffcc66;\">Primitives Intersection with Conformal 5D Geometry<\/span><\/h4>\n<\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:5px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;border-color:#e0dede;border-top-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-text fusion-text-16\"><p style=\"text-align: left; color: #ffffff;\"><strong>Location:<\/strong> CIMENICS 2012 \/ Margarita, Venezuela.<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Language:<\/strong> English<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Date:<\/strong> March\/2012<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong><a style=\"text-align: left; color: #ffcc66;\" href=\"https:\/\/www.eduardoroacg.com\/downloads\/publications\/Cimenics2012_article.pdf\" target=\"_blank\" rel=\"noopener\">Download (pdf)<\/a><\/strong><\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-25 fusion_builder_column_1_3 1_3 fusion-one-third\" style=\"--awb-padding-top:30px;--awb-padding-right:30px;--awb-padding-bottom:30px;--awb-padding-left:30px;--awb-bg-color:#292426;--awb-bg-color-hover:#292426;--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-17\"><h4 style=\"text-align: center;\"><span style=\"color: #ffcc66;\">GPU Collision detection in conformal geometric space<\/span><\/h4>\n<\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:5px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;border-color:#e0dede;border-top-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-text fusion-text-18\"><p style=\"text-align: left; color: #ffffff;\"><strong>Location:<\/strong>SIACG 2011 \/ Algerve, Portugal.<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Language:<\/strong> English<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Date:<\/strong> June\/2011<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong><a style=\"text-align: left; color: #ffcc66;\" href=\"https:\/\/www.eduardoroacg.com\/downloads\/publications\/SIACG_article.pdf\" target=\"_blank\" rel=\"noopener\">Download (pdf)<\/a><\/strong><\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-26 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-last\" style=\"--awb-padding-top:30px;--awb-padding-right:30px;--awb-padding-bottom:30px;--awb-padding-left:30px;--awb-bg-color:#312c2e;--awb-bg-color-hover:#312c2e;--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-19\"><h4 style=\"text-align: center;\"><span style=\"color: #ffcc66;\">Computer Graphics Operations in the Conformal Geometric using GPU<\/span><\/h4>\n<\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:5px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;border-color:#e0dede;border-top-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-text fusion-text-20\"><p style=\"text-align: left; color: #ffffff;\"><strong>Location:<\/strong> USB &#8211; Sim\u00f3n Bol\u00edvar University<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Language:<\/strong> Spanish<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong>Date:<\/strong> May\/2011<\/p>\n<p style=\"text-align: left; color: #ffffff;\"><strong><a style=\"text-align: left; color: #ffcc66;\" href=\"https:\/\/www.eduardoroacg.com\/downloads\/publications\/ThesisMaster.pdf\" target=\"_blank\" rel=\"noopener\">Download (pdf)<\/a><\/strong><\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"100-width.php","meta":{"footnotes":""},"class_list":["post-23","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Lectures - Eduardo Roa Portfolio<\/title>\n<meta name=\"description\" content=\"Lectures \/ Slides \/ Articles\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.eduardoroacg.com\/web\/lectures\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Lectures - Eduardo Roa Portfolio\" \/>\n<meta property=\"og:description\" content=\"Lectures \/ Slides \/ Articles\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.eduardoroacg.com\/web\/lectures\/\" \/>\n<meta property=\"og:site_name\" content=\"Eduardo Roa Portfolio\" \/>\n<meta property=\"article:modified_time\" content=\"2018-05-11T00:08:34+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/www.eduardoroacg.com\/web\/wp-content\/uploads\/2016\/04\/expo_hrd01.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"18 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/lectures\\\/\",\"url\":\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/lectures\\\/\",\"name\":\"Lectures - Eduardo Roa Portfolio\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/lectures\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/lectures\\\/#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/www.eduardoroacg.com\\\/web\\\/wp-content\\\/uploads\\\/2016\\\/04\\\/expo_hrd01.jpg\",\"datePublished\":\"2016-04-19T02:09:40+00:00\",\"dateModified\":\"2018-05-11T00:08:34+00:00\",\"description\":\"Lectures \\\/ Slides \\\/ Articles\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/lectures\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/lectures\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/lectures\\\/#primaryimage\",\"url\":\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/wp-content\\\/uploads\\\/2016\\\/04\\\/expo_hrd01.jpg\",\"contentUrl\":\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/wp-content\\\/uploads\\\/2016\\\/04\\\/expo_hrd01.jpg\",\"width\":400,\"height\":370},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/lectures\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Lectures\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/#website\",\"url\":\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/\",\"name\":\"Eduardo Roa Portfolio\",\"description\":\"Lighting Artist and Generalist 3D. M.Sc. Computer Science and Mathematician\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.eduardoroacg.com\\\/web\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Lectures - Eduardo Roa Portfolio","description":"Lectures \/ Slides \/ Articles","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.eduardoroacg.com\/web\/lectures\/","og_locale":"en_US","og_type":"article","og_title":"Lectures - Eduardo Roa Portfolio","og_description":"Lectures \/ Slides \/ Articles","og_url":"https:\/\/www.eduardoroacg.com\/web\/lectures\/","og_site_name":"Eduardo Roa Portfolio","article_modified_time":"2018-05-11T00:08:34+00:00","og_image":[{"url":"http:\/\/www.eduardoroacg.com\/web\/wp-content\/uploads\/2016\/04\/expo_hrd01.jpg","type":"","width":"","height":""}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"18 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.eduardoroacg.com\/web\/lectures\/","url":"https:\/\/www.eduardoroacg.com\/web\/lectures\/","name":"Lectures - Eduardo Roa Portfolio","isPartOf":{"@id":"https:\/\/www.eduardoroacg.com\/web\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.eduardoroacg.com\/web\/lectures\/#primaryimage"},"image":{"@id":"https:\/\/www.eduardoroacg.com\/web\/lectures\/#primaryimage"},"thumbnailUrl":"http:\/\/www.eduardoroacg.com\/web\/wp-content\/uploads\/2016\/04\/expo_hrd01.jpg","datePublished":"2016-04-19T02:09:40+00:00","dateModified":"2018-05-11T00:08:34+00:00","description":"Lectures \/ Slides \/ Articles","breadcrumb":{"@id":"https:\/\/www.eduardoroacg.com\/web\/lectures\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.eduardoroacg.com\/web\/lectures\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.eduardoroacg.com\/web\/lectures\/#primaryimage","url":"https:\/\/www.eduardoroacg.com\/web\/wp-content\/uploads\/2016\/04\/expo_hrd01.jpg","contentUrl":"https:\/\/www.eduardoroacg.com\/web\/wp-content\/uploads\/2016\/04\/expo_hrd01.jpg","width":400,"height":370},{"@type":"BreadcrumbList","@id":"https:\/\/www.eduardoroacg.com\/web\/lectures\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.eduardoroacg.com\/web\/"},{"@type":"ListItem","position":2,"name":"Lectures"}]},{"@type":"WebSite","@id":"https:\/\/www.eduardoroacg.com\/web\/#website","url":"https:\/\/www.eduardoroacg.com\/web\/","name":"Eduardo Roa Portfolio","description":"Lighting Artist and Generalist 3D. M.Sc. Computer Science and Mathematician","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.eduardoroacg.com\/web\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/www.eduardoroacg.com\/web\/wp-json\/wp\/v2\/pages\/23","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.eduardoroacg.com\/web\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.eduardoroacg.com\/web\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.eduardoroacg.com\/web\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.eduardoroacg.com\/web\/wp-json\/wp\/v2\/comments?post=23"}],"version-history":[{"count":6,"href":"https:\/\/www.eduardoroacg.com\/web\/wp-json\/wp\/v2\/pages\/23\/revisions"}],"predecessor-version":[{"id":722,"href":"https:\/\/www.eduardoroacg.com\/web\/wp-json\/wp\/v2\/pages\/23\/revisions\/722"}],"wp:attachment":[{"href":"https:\/\/www.eduardoroacg.com\/web\/wp-json\/wp\/v2\/media?parent=23"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}