{"id":101,"date":"2010-11-17T17:18:00","date_gmt":"2010-11-17T17:18:00","guid":{"rendered":"https:\/\/www.root42.de\/blog\/?p=101"},"modified":"2010-11-17T17:18:00","modified_gmt":"2010-11-17T17:18:00","slug":"finally-rotations-of-real-spherical-harmonics-according-to-blanco-et-al","status":"publish","type":"post","link":"https:\/\/www.root42.de\/blog\/?p=101","title":{"rendered":"Finally: Rotations of real Spherical Harmonics according to Blanco et al."},"content":{"rendered":"<p>I finally managed to implement <a href=\"http:\/\/www.sciencedirect.com\/science?_ob=ArticleURL&amp;_udi=B6TGT-409W1GH-4&amp;_user=929460&amp;_coverDate=12%2F08%2F1997&amp;_rdoc=1&amp;_fmt=high&amp;_orig=search&amp;_origin=search&amp;_sort=d&amp;_docanchor=&amp;view=c&amp;_searchStrId=1544929287&amp;_rerunOrigin=scholar.google&amp;_acct=C000048339&amp;_version=1&amp;_urlVersion=0&amp;_userid=929460&amp;md5=c4ec6fb335484065bfd835aab6c112b6&amp;searchtype=a\">Blanco&#8217;s 1997 paper<\/a>. The formulas were quite tedious to implement correctly, with all the matrix indices going possibly wrong. But after lots of debugging, I now have a working implementation in my SH explorer. Have a look:<\/p>\n<div style=\"clear: both; text-align: center;\"><a href=\"http:\/\/1.bp.blogspot.com\/_Mc79Xvd2xvE\/TOQN_yArAyI\/AAAAAAAAAYU\/OrLTm2ZOoLE\/s1600\/Bildschirmfoto+2010-11-17+um+18.14.20.png\" style=\"margin-left: 1em; margin-right: 1em;\"><img loading=\"lazy\" border=\"0\" height=\"191\" src=\"http:\/\/1.bp.blogspot.com\/_Mc79Xvd2xvE\/TOQN_yArAyI\/AAAAAAAAAYU\/OrLTm2ZOoLE\/s400\/Bildschirmfoto+2010-11-17+um+18.14.20.png\" width=\"400\" \/><\/a><\/div>\n<p>This is an antenna pattern by <a href=\"http:\/\/www.ele.tut.fi\/~kellomat\/\">Tiiti<\/a>, which was rotated by 45, 90 and 45 degrees, in ZYZ angles. And it did not explode or deform badly. \ud83d\ude42<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I finally managed to implement Blanco&#8217;s 1997 paper. The formulas were quite tedious to implement correctly, with all the matrix indices going possibly wrong. But after lots of debugging, I now have a working implementation in my SH explorer. Have a look: This is an antenna pattern by Tiiti, which was rotated by 45, 90 &hellip; <a href=\"https:\/\/www.root42.de\/blog\/?p=101\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Finally: Rotations of real Spherical Harmonics according to Blanco et al.&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[15,77],"tags":[],"_links":{"self":[{"href":"https:\/\/www.root42.de\/blog\/index.php?rest_route=\/wp\/v2\/posts\/101"}],"collection":[{"href":"https:\/\/www.root42.de\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.root42.de\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.root42.de\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.root42.de\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=101"}],"version-history":[{"count":0,"href":"https:\/\/www.root42.de\/blog\/index.php?rest_route=\/wp\/v2\/posts\/101\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.root42.de\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=101"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.root42.de\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=101"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.root42.de\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=101"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}