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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 Morphological gradient ： ウィキペディア英語版 Morphological gradient In mathematical morphology and digital image processing, a morphological gradient is the difference between the dilation and the erosion of a given image. It is an image where each pixel value (typically non-negative) indicates the contrast intensity in the close neighborhood of that pixel. It is useful for edge detection and segmentation applications. ==Mathematical definition and types== Let $f:E\backslash mapsto\; R$ be a grayscale image, mapping points from a Euclidean space or discrete grid ''E'' (such as ''R''2 or ''Z''2) into the real line. Let $b(x)$ be a grayscale structuring element. Usually, ''b'' is symmetric and has short-support, e.g., :. Then, the morphological gradient of ''f'' is given by: :$G(f)=f\backslash oplus\; b-f\backslash ominus\; b$, where $\backslash oplus$ and $\backslash ominus$ denote the dilation and the erosion, respectively. An internal gradient is given by: :$G\_i(f)=f-f\backslash ominus\; b$, and an external gradient is given by: :$G\_e(f)=f\backslash oplus\; b-f$. The internal and external gradients are "thinner" than the gradient, but the gradient peaks are located ''on'' the edges, whereas the internal and external ones are located at each side of the edges. Notice that $G\_i+G\_e=G$. If $b(0)\backslash geq\; 0$, then all the three gradients have non-negative values at all pixels. 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「Morphological gradient」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.