{"id":394,"date":"2009-10-09T13:30:45","date_gmt":"2009-10-09T13:30:45","guid":{"rendered":"https:\/\/blogs.mathworks.com\/videos\/2009\/10\/09\/finding-the-area-inside-a-convex-hull\/"},"modified":"2009-10-09T13:30:45","modified_gmt":"2009-10-09T13:30:45","slug":"finding-the-area-inside-a-convex-hull","status":"publish","type":"post","link":"https:\/\/blogs.mathworks.com\/videos\/2009\/10\/09\/finding-the-area-inside-a-convex-hull\/","title":{"rendered":"Finding the area inside a convex hull"},"content":{"rendered":"This quick video answers a question about finding the area of the smallest polygon that covers a set of points.  It is a chance to use a few commands in MATLAB to simplify a script.\r\n\r\nHere is the code that will be discussed.\r\n\r\n<code><pre>\r\n x1 = rand(1,10);\r\n y1 = rand(1,10);\r\n\r\n vi = convhull(x1,y1);\r\n polyarea(x1(vi),y1(vi))\r\n\r\n plot(x1,y1,'.')\r\n axis equal\r\n hold on\r\n fill ( x1(vi), y1(vi), 'r','facealpha', 0.5 ); \r\n hold off\r\n<\/pre><\/code>\r\n\r\n\r\n<div><div class=\"row\"><div class=\"col-xs-12 containing-block\"><div class=\"bc-outer-container add_margin_20\"><videoplayer><div class=\"video-js-container\"><video data-video-id=\"3877437979001\" data-video-category=\"blog\" data-autostart=\"false\" data-account=\"62009828001\" data-omniture-account=\"mathwgbl\" data-player=\"rJ9XCz2Sx\" data-embed=\"default\" id=\"mathworks-brightcove-player\" class=\"video-js\" controls><\/video><script src=\"\/\/players.brightcove.net\/62009828001\/rJ9XCz2Sx_default\/index.min.js\"><\/script><script>if (typeof(playerLoaded) === 'undefined') {var playerLoaded = false;}(function isVideojsDefined() {if (typeof(videojs) !== 'undefined') {videojs(\"mathworks-brightcove-player\").on('loadedmetadata', function() {playerLoaded = true;});} else {setTimeout(isVideojsDefined, 10);}})();<\/script><\/div><\/videoplayer><\/div><\/div><\/div>\r\n <\/div>\r\n","protected":false},"excerpt":{"rendered":"<div class=\"thumbnail thumbnail_asset asset_overlay video\"><a href=\"https:\/\/blogs.mathworks.com\/videos\/2009\/10\/09\/finding-the-area-inside-a-convex-hull\/?dir=autoplay\"><img decoding=\"async\" src=\"https:\/\/cf-images.us-east-1.prod.boltdns.net\/v1\/static\/62009828001\/f2ad1a37-442b-4ddc-9360-2500f7176b6d\/67d5e82e-3389-4058-a731-5e9cf55b6b92\/1280x720\/match\/image.jpg\" onError=\"this.style.display ='none';\"\/>\n      <div class=\"overlay_container\">\n      <span class=\"icon-video icon_color_null\"><time class=\"video_length\">2:44<\/time><\/span>\n      <\/div>\n      <\/a><\/div><p>This quick video answers a question about finding the area of the smallest polygon that covers a set of points.  It is a chance to use a few commands in MATLAB to simplify a script.\r\n\r\nHere is the&#8230; <a class=\"read-more\" href=\"https:\/\/blogs.mathworks.com\/videos\/2009\/10\/09\/finding-the-area-inside-a-convex-hull\/\">read more >><\/a><\/p>","protected":false},"author":68,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[4,17],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/posts\/394"}],"collection":[{"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/users\/68"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/comments?post=394"}],"version-history":[{"count":0,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/posts\/394\/revisions"}],"wp:attachment":[{"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/media?parent=394"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/categories?post=394"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/tags?post=394"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}