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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 Variation diminishing property ： ウィキペディア英語版 Variation diminishing property In mathematics, the variation diminishing property of certain mathematical objects involves diminishing the number of changes in sign (positive to negative or vice versa). == Variation Diminishing Property for Bézier curves == The variation diminishing property of Bézier curves is that they are smoother than the polygon formed by their control points. If a line is drawn through the curve, the number of intersections with the curve will be less than or equal to the number of intersections with the control polygon. In other words, for a Bézier curve ''B'' defined by the control polygon P, the curve will have no more intersection with any plane as that plane has with P. This may be generalised into higher dimensions. This property was first studied by Isaac Jacob Schoenberg in his 1930 paper, ''Über variationsvermindernde lineare Transformationen''. He went on to derive it by a transformation of Descartes' rule of signs. 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「Variation diminishing property」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.