{"id":10,"date":"2010-02-18T10:14:35","date_gmt":"2010-02-18T10:14:35","guid":{"rendered":"http:\/\/doc.gold.ac.uk\/soundvis\/?p=10"},"modified":"2010-02-18T10:14:35","modified_gmt":"2010-02-18T10:14:35","slug":"animated-apollonius-diagrams","status":"publish","type":"post","link":"http:\/\/doc.gold.ac.uk\/soundvis\/2010\/02\/animated-apollonius-diagrams\/","title":{"rendered":"Animated apollonius diagrams"},"content":{"rendered":"<p>An Apollonius diagram shows Voronoi edges between discs of varying sizes.  Here is an animation where the sites move and reduce in size from frame to frame.  By increasing the angle of direction the sites form a spiral.<\/p>\n<div><object width=\"220\" height=\"227\"><param name=\"movie\" value=\"http:\/\/www.dailymotion.com\/swf\/x2hm8s&#038;related=0\"><\/param><param name=\"allowFullScreen\" value=\"true\"><\/param><param name=\"allowScriptAccess\" value=\"always\"><\/param><\/object><br \/><b><a href=\"http:\/\/www.dailymotion.com\/video\/x2hm8s_apollonius-spiral_creation\">Apollonius spiral<\/a><\/b><\/div>\n<p>This animation is the same but the sites oscillating perpendicular to the direction of travel.<\/p>\n<div><object width=\"220\" height=\"227\"><param name=\"movie\" value=\"http:\/\/www.dailymotion.com\/swf\/x2hnlv&#038;related=0\"><\/param><param name=\"allowFullScreen\" value=\"true\"><\/param><param name=\"allowScriptAccess\" value=\"always\"><\/param><\/object><br \/><b><a href=\"http:\/\/www.dailymotion.com\/video\/x2hnlv_apollonius-spiral-animation-with-os_creation\">Apollonius spiral with oscillations<\/a><\/b><\/div>\n<p>In these two simple animations we have seen size (weighting), direction of travel and oscillation as properties of a Voronoi site that change over time.  We may think of several other properties, such as speed of travel and origin.  We may then map from properties of things from other domains, such as music.<\/p>\n<p>Here is a simple example where musical note value is mapped to direction of travel.  That is, as each note is triggered, a Voronoi site is created and animated according to the musical pitch of the note.<\/p>\n<div><object width=\"220\" height=\"227\"><param name=\"movie\" value=\"http:\/\/www.dailymotion.com\/swf\/x2hm6z&#038;related=0\"><\/param><param name=\"allowFullScreen\" value=\"true\"><\/param><param name=\"allowScriptAccess\" value=\"always\"><\/param><\/object><br \/><b><a href=\"http:\/\/www.dailymotion.com\/video\/x2hm6z_apollonius-showing-sites-triggered_tech\">Apollonius showing sites triggered by note values<\/a><\/b><\/p>\n","protected":false},"excerpt":{"rendered":"<p>An Apollonius diagram shows Voronoi edges between discs of varying sizes. Here is an animation where the sites move and reduce in size from frame to frame. By increasing the angle of direction the sites form a spiral. Apollonius spiral This animation is the same but the sites oscillating perpendicular to the direction of travel. &hellip; <\/p>\n<p class=\"link-more\"><a href=\"http:\/\/doc.gold.ac.uk\/soundvis\/2010\/02\/animated-apollonius-diagrams\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Animated apollonius diagrams&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[1],"tags":[],"jetpack_featured_media_url":"","jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p8oIYj-a","jetpack-related-posts":[{"id":6,"url":"http:\/\/doc.gold.ac.uk\/soundvis\/2010\/02\/apollonius-diagrams-and-the-representation-of-sounds-and-music\/","url_meta":{"origin":10,"position":0},"title":"Apollonius diagrams and the Representation of Sounds and Music","date":"02\/18\/2010","format":false,"excerpt":"The abstract from our paper submitted to ISVD07: \u00a0 We introduce the use of weighted medial graph structures to represent sounds and musical events. Such structures permit the building of hierarchical neighborhood relationships (symmetries) while mapping time to a weight (of a note, or event). This is useful to relate\u2026","rel":"","context":"Similar post","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"_links":{"self":[{"href":"http:\/\/doc.gold.ac.uk\/soundvis\/wp-json\/wp\/v2\/posts\/10"}],"collection":[{"href":"http:\/\/doc.gold.ac.uk\/soundvis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/doc.gold.ac.uk\/soundvis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/doc.gold.ac.uk\/soundvis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/doc.gold.ac.uk\/soundvis\/wp-json\/wp\/v2\/comments?post=10"}],"version-history":[{"count":1,"href":"http:\/\/doc.gold.ac.uk\/soundvis\/wp-json\/wp\/v2\/posts\/10\/revisions"}],"predecessor-version":[{"id":11,"href":"http:\/\/doc.gold.ac.uk\/soundvis\/wp-json\/wp\/v2\/posts\/10\/revisions\/11"}],"wp:attachment":[{"href":"http:\/\/doc.gold.ac.uk\/soundvis\/wp-json\/wp\/v2\/media?parent=10"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/doc.gold.ac.uk\/soundvis\/wp-json\/wp\/v2\/categories?post=10"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/doc.gold.ac.uk\/soundvis\/wp-json\/wp\/v2\/tags?post=10"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}