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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 Signed distance function ： ウィキペディア英語版 Signed distance function In mathematics and applications, the signed distance function (or oriented distance function) of a set ''Ω'' in a metric space determines the distance of a given point ''x'' from the boundary of ''Ω'', with the sign determined by whether ''x'' is in ''Ω''. The function has positive values at points ''x'' inside ''Ω'', it decreases in value as ''x'' approaches the boundary of ''Ω'' where the signed distance function is zero, and it takes negative values outside of ''Ω''. ==Definition== If (''Ω'', ''d'') is a metric space, the ''signed distance function'' ''f'' is defined by :$f(x)\; =\; \backslash begin$ d(x, \Omega^c) & \mbox x\in\Omega \\ -d(x, \Omega)& \mbox x\in\Omega^c \end where : $d(x,\; \backslash Omega)\; =\; \backslash inf\_d(x,\; y)$ and ''inf'' denotes the infimum. 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「Signed distance function」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.