{"id":265,"date":"2015-11-20T15:07:45","date_gmt":"2015-11-20T22:07:45","guid":{"rendered":"https:\/\/blogs.ubc.ca\/advancedgis\/?page_id=265"},"modified":"2016-01-11T16:00:13","modified_gmt":"2016-01-11T23:00:13","slug":"convex-hull","status":"publish","type":"page","link":"https:\/\/blogs.ubc.ca\/advancedgis\/schedule\/slides\/spatial-analysis-2\/convex-hull\/","title":{"rendered":"Convex Hull"},"content":{"rendered":"<p><div id=\"attachment_267\" style=\"width: 210px\" class=\"wp-caption alignright\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-267\" class=\"wp-image-267 size-full\" src=\"https:\/\/blogs.ubc.ca\/advancedgis\/files\/2015\/11\/Convex_Hull.png\" alt=\"Convex_Hull\" width=\"200\" height=\"200\" srcset=\"https:\/\/blogs.ubc.ca\/advancedgis\/files\/2015\/11\/Convex_Hull.png 200w, https:\/\/blogs.ubc.ca\/advancedgis\/files\/2015\/11\/Convex_Hull-150x150.png 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><p id=\"caption-attachment-267\" class=\"wp-caption-text\">A convex polygon is one where no interior angle is greater than 180\u00b0<\/p><\/div>A convex hull of a set of points is the smallest convex polygon* that contains every one of the points. It is defined by a subset of all the points in the original set. One way to think about a convex hull is to imagine that each of the points is a peg sticking up out of a board. Take a rubber band and stretch it around all of the points. The polygon formed by the rubber band is a convex hull. When interpolating data one should avoid interpolating beyond the convex hull (i.e., extrapolation increases the uncertainty associated with any interpolation).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A convex hull of a set of points is the smallest convex polygon* that contains every one of the points. It is defined by a subset of all the points in the original set. One way to think about a convex hull is to imagine that each of the points is a peg sticking up [&hellip;]<\/p>\n","protected":false},"author":18620,"featured_media":0,"parent":109,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-265","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.ubc.ca\/advancedgis\/wp-json\/wp\/v2\/pages\/265","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ubc.ca\/advancedgis\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.ubc.ca\/advancedgis\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/advancedgis\/wp-json\/wp\/v2\/users\/18620"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/advancedgis\/wp-json\/wp\/v2\/comments?post=265"}],"version-history":[{"count":4,"href":"https:\/\/blogs.ubc.ca\/advancedgis\/wp-json\/wp\/v2\/pages\/265\/revisions"}],"predecessor-version":[{"id":271,"href":"https:\/\/blogs.ubc.ca\/advancedgis\/wp-json\/wp\/v2\/pages\/265\/revisions\/271"}],"up":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/advancedgis\/wp-json\/wp\/v2\/pages\/109"}],"wp:attachment":[{"href":"https:\/\/blogs.ubc.ca\/advancedgis\/wp-json\/wp\/v2\/media?parent=265"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}