{"id":1232,"date":"2018-08-08T10:43:29","date_gmt":"2018-08-08T10:43:29","guid":{"rendered":"http:\/\/www.sofadeve.com\/?p=1232"},"modified":"2018-06-04T08:46:37","modified_gmt":"2018-06-04T08:46:37","slug":"voronoi-tessellation","status":"publish","type":"post","link":"https:\/\/sofadeve.com\/?p=1232","title":{"rendered":"Voronoi Tessellation"},"content":{"rendered":"<p>In mathematics, a Voronoi diagram is a way of dividing space into a number of regions. A set of points (called seeds, sites, or generators) is specified beforehand and for each seed there will be a corresponding region consisting of all points closer to that seed than to any other. The regions are called Voronoi cells. It is dual to the Delaunay triangulation.<br \/>\nIt is named after Georgy Voronoy, and is also called a Voronoi tessellation, a Voronoi decomposition, a Voronoi partition, or a Dirichlet tessellation (after Peter Gustav Lejeune Dirichlet). Voronoi diagrams can be found in a large number of fields in science and technology, even in art, and they have found numerous practical and theoretical applications.<\/p>\n<p><a href=\"http:\/\/en.wikipedia.org\/wiki\/Voronoi_diagram\" target=\"_blank\">>> Goto Source<\/a><\/p>\n<p>Follow the link below to see an animated Voronoi Tessellation &#8230; be the wandering point &#8230; <\/p>\n<p><a href=\"http:\/\/bl.ocks.org\/mbostock\/4060366\" target=\"_blank\">Voronoi Tessellation<\/a><\/p>\n<p>The Voronoi tessellation shows the closest point on the plane for a given set of points. This example updates the Voronoi diagram in response to mouse interaction! Colors by Cynthia Brewer; algorithm by Steven Fortune; implementation based on work by Nicolas Garcia Belmonte; interaction inspired by Raymond Hill.<\/p>\n<p>Also have a look on the base javascript library &#8230; <a href=\"http:\/\/d3js.org\/\" target=\"_blank\">d3js.org<\/a> <\/p>\n","protected":false},"excerpt":{"rendered":"<p>In mathematics, a Voronoi diagram is a way of dividing space into a number of regions. A set of points (called seeds, sites, or generators) is specified beforehand and for each seed there will be a corresponding region consisting of all points closer to that seed than to any other. The regions are called Voronoi [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1236,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[21,17,36,4],"tags":[],"class_list":["post-1232","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-creative","category-design","category-geometry","category-mathematics"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/sofadeve.com\/wp-content\/uploads\/2014\/08\/Euclidean_Voronoi_Diagram.png","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p5jq4Y-jS","_links":{"self":[{"href":"https:\/\/sofadeve.com\/index.php?rest_route=\/wp\/v2\/posts\/1232","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sofadeve.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sofadeve.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sofadeve.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sofadeve.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1232"}],"version-history":[{"count":3,"href":"https:\/\/sofadeve.com\/index.php?rest_route=\/wp\/v2\/posts\/1232\/revisions"}],"predecessor-version":[{"id":1235,"href":"https:\/\/sofadeve.com\/index.php?rest_route=\/wp\/v2\/posts\/1232\/revisions\/1235"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sofadeve.com\/index.php?rest_route=\/wp\/v2\/media\/1236"}],"wp:attachment":[{"href":"https:\/\/sofadeve.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1232"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sofadeve.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1232"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sofadeve.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1232"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}