{"id":57,"date":"2013-11-08T15:46:23","date_gmt":"2013-11-08T15:46:23","guid":{"rendered":"\/\/3dbym.ru\/2013\/11\/calculating-the-conjugate-of-a-quaternion\/"},"modified":"2013-11-08T15:46:23","modified_gmt":"2013-11-08T15:46:23","slug":"calculating-the-conjugate-of-a-quaternion","status":"publish","type":"post","link":"https:\/\/3dbym.ru\/2013\/11\/calculating-the-conjugate-of-a-quaternion\/","title":{"rendered":"Calculating the Conjugate of a Quaternion"},"content":{"rendered":"<p>The conjugate of a quaternion is used for operations such as rotation of a quaternion by another or rotation of a vector by a quaternion. This is especially useful when you are transforming lighting normals or other operations whereby translation is not needed.<\/p>\n<p>The conjugate is very easy to calculate, requiring only that you negate the vector component of the quaternion. Therefore, if you have the quaternion q = [ n, v], where n is a scalar and v is a vector, the conjugate of q (denoted by the symbol ~) would be ~q = [n, &#8212; v]. You will learn how to use the conjugate of a quaternion to rotate other quaternions and vectors in the next section.<\/p>\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The conjugate of a quaternion is used for operations such as rotation of a quaternion by another or rotation of a vector by a quaternion. This is especially useful when you are transforming lighting normals or other operations whereby translation is not needed. The conjugate is very easy to calculate, requiring only that you negate [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[7],"tags":[],"_links":{"self":[{"href":"https:\/\/3dbym.ru\/wp-json\/wp\/v2\/posts\/57"}],"collection":[{"href":"https:\/\/3dbym.ru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/3dbym.ru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/3dbym.ru\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/3dbym.ru\/wp-json\/wp\/v2\/comments?post=57"}],"version-history":[{"count":0,"href":"https:\/\/3dbym.ru\/wp-json\/wp\/v2\/posts\/57\/revisions"}],"wp:attachment":[{"href":"https:\/\/3dbym.ru\/wp-json\/wp\/v2\/media?parent=57"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/3dbym.ru\/wp-json\/wp\/v2\/categories?post=57"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/3dbym.ru\/wp-json\/wp\/v2\/tags?post=57"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}