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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 Coons patch ： ウィキペディア英語版 Coons patch In mathematics, a Coons patch, is a type of manifold parametrization used in computer graphics to smoothly join other surfaces together, and in computational mechanics applications, particularly in finite element method and boundary element method, to mesh problem domains into elements. Coons patches are named after Steven Anson Coons. ==Bilinear blending== Given four space curves ''c''0(''s''), ''c''1(''s''), ''d''0(''t''), ''d''1(''t'') which meet at four corners ''c''0(0) = ''d''0(0), ''c''0(1) = ''d''1(0), ''c''1(0) = ''d''0(1), ''c''1(1) = ''d''1(1); linear interpolation can be used to interpolate between ''c''0 and ''c''1, that is :$L\_c(s,t)=(1-t)\; c\_0(s)+\; t\; c\_1(s)\; \backslash ,$ and between ''d''0, ''d''1 :$L\_d(s,t)=(1-s)\; d\_0(t)+\; s\; d\_1(t)\; \backslash ,$ producing two ruled surfaces defined on the unit square. The bilinear interpolation on the four corner points is another surface :$B(s,t)\; =\; c\_0(0)\; (1-s)(1-t)\; +\; c\_0(1)\; s(1-t)\; +\; c\_1(0)\; (1-s)t\; +\; c\_1(1)\; s\; t.\; \backslash ,$ A bilinearly blended Coons patch is the surface :$L\_c(s,t)+L\_d(s,t)-B(s,t).\; \backslash ,$ 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「Coons patch」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.