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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Euler–Rodrigues formula ： ウィキペディア英語版 Euler–Rodrigues formula In mathematics and mechanics, the Euler–Rodrigues formula describes the rotation of a vector in three dimensions. It is based on Rodrigues' rotation formula, but uses a different parametrization. The rotation is described by four Euler parameters due to Leonhard Euler. The Rodrigues formula (named after Olinde Rodrigues), a method of calculating the position of a rotated point, is used in some software applications, such as flight simulators and computer games. == Definition == A rotation about the origin is represented by four real numbers, a, b, c, d such that :$a^2\; +\; b^2\; +\; c^2\; +\; d^2\; =\; 1.$ When the rotation is applied, a point at position $\backslash vec\; x$ rotates to its new position : 2(bc+ad) & a^2+c^2-b^2-d^2 & 2(cd - ab) \\ 2(bd-ac) & 2(cd+ab) & a^2+d^2-b^2-c^2 \end\vec x. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Euler–Rodrigues formula」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.