{"id":713,"date":"2008-09-05T16:00:30","date_gmt":"2008-09-05T23:00:30","guid":{"rendered":"https:\/\/www.reenigne.org\/blog\/?p=713"},"modified":"2008-09-05T14:35:17","modified_gmt":"2008-09-05T21:35:17","slug":"reslicing","status":"publish","type":"post","link":"https:\/\/www.reenigne.org\/blog\/reslicing\/","title":{"rendered":"Reslicing"},"content":{"rendered":"<p>A movie can be thought of as a three-dimensional array of pixels - horizontal, vertical and time. If you have such a three-dimensional array of pixels, there are three different ways of turning it into a movie - three different dimensions that you can pick as \"time\". For movies of real things this probably isn't a very interesting thing to do, but for movies of mathematical objects like the one I made yesterday, there may be mathematical insights to be gained from \"reslicing\" a movie.<\/p>\n<p>So, here is yesterday's movie with the x and time coordinates swapped:<\/p>\n<p><object width=\"425\" height=\"350\"><param name=\"movie\" value=\"http:\/\/www.youtube.com\/v\/5i35iCJEmXs\"><\/param><embed src=\"http:\/\/www.youtube.com\/v\/5i35iCJEmXs\" type=\"application\/x-shockwave-flash\" width=\"425\" height=\"350\"><\/embed><\/object><\/p>\n<p><a href=\"http:\/\/www.reenigne.org\/misc\/reslice1.avi\">Higher resolution version<\/a> (8Mb 640x480 DivX).<\/p>\n<p>And here it is with the y and time coordinates swapped (and also rotated to landscape format):<\/p>\n<p><object width=\"425\" height=\"350\"><param name=\"movie\" value=\"http:\/\/www.youtube.com\/v\/ZgQN0oCqs44\"><\/param><embed src=\"http:\/\/www.youtube.com\/v\/ZgQN0oCqs44\" type=\"application\/x-shockwave-flash\" width=\"425\" height=\"350\"><\/embed><\/object><\/p>\n<p><a href=\"http:\/\/www.reenigne.org\/misc\/reslice2.avi\">Higher resolution version<\/a> (8Mb 640x480 DivX).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A movie can be thought of as a three-dimensional array of pixels - horizontal, vertical and time. If you have such a three-dimensional array of pixels, there are three different ways of turning it into a movie - three different dimensions that you can pick as \"time\". For movies of real things this probably isn't [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18],"tags":[],"class_list":["post-713","post","type-post","status-publish","format-standard","hentry","category-fractals"],"_links":{"self":[{"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/posts\/713","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/comments?post=713"}],"version-history":[{"count":3,"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/posts\/713\/revisions"}],"predecessor-version":[{"id":716,"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/posts\/713\/revisions\/716"}],"wp:attachment":[{"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/media?parent=713"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/categories?post=713"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/tags?post=713"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}