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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 : where : 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
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