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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 Opening (morphology) ： ウィキペディア英語版 Opening (morphology) In mathematical morphology, opening is the dilation of the erosion of a set A by a structuring element B: :$A\backslash circ\; B\; =\; (A\backslash ominus\; B)\backslash oplus\; B,\; \backslash ,$ where $\backslash ominus$ and $\backslash oplus$ denote erosion and dilation, respectively. Together with closing, the opening serves in computer vision and image processing as a basic workhorse of morphological noise removal. Opening removes small objects from the foreground (usually taken as the dark pixels) of an image, placing them in the background, while closing removes small holes in the foreground, changing small islands of background into foreground. These techniques can also be used to find specific shapes in an image. Opening can be used to find things into which a specific structuring element can fit (edges, corners, ...). One can think of ''B'' sweeping around the inside of the boundary of ''A'', so that it does not extend beyond the boundary, and shaping the ''A'' boundary around the boundary of the element. ==Properties== * Opening is idempotent, that is, $(A\backslash circ\; B)\backslash circ\; B\; =\; A\backslash circ\; B$. * Opening is increasing, that is, if $A\backslash subseteq\; C$, then $A\backslash circ\; B\; \backslash subseteq\; C\backslash circ\; B$. * Opening is anti-extensive, i.e., $A\backslash circ\; B\backslash subseteq\; A$. * Opening is translation invariant. * Opening and closing satisfy the duality $A\; \backslash bullet\; B\; =\; (A^\; \backslash circ\; B^)^$, where $\backslash bullet$ denotes closing. 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「Opening (morphology)」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.