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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 Transfinite interpolation ： ウィキペディア英語版 Transfinite interpolation In numerical analysis, transfinite interpolation is a means to construct functions over a planar domain in such a way that they match a given function on the boundary. This method is applied in geometric modelling and in the field of finite element method. The transfinite interpolation method, first introduced by William J. Gordon and Charles A. Hall,〔 receives its name due to how a function belonging to this class is able to match the primitive function at a nondenumerable number of points. In the authors' words: == Formula == With parametrized curves $\backslash vec\_1(u)$, $\backslash vec\_3(u)$ describing one pair of opposite sides of a domain, and $\backslash vec\_2(v)$, $\backslash vec\_4(v)$ describing the other pair. the position of point (u,v) in the domain is $$ \begin \vec(u,v)&=&(1-v)\vec_1(u)+v\vec_3(u)+(1-u)\vec_2(v)+u\vec_4(v)\\ && - \left() \end where, e.g., $\backslash vec\_$ is the point where curves $\backslash vec\_1$ and $\backslash vec\_2$ meet. 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「Transfinite interpolation」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.