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In mathematical morphology, granulometry is an approach to compute a size distribution of grains in binary images, using a series of morphological opening operations. It was introduced by Georges Matheron in the 1960s, and is the basis for the characterization of the concept of ''size'' in mathematical morphology. == Granulometry generated by a structuring element == Let ''B'' be a structuring element in an Euclidean space or grid ''E'', and consider the family , , given by: :, , given by: :, where denotes the morphological opening. The ''granulometry function'' is the cardinality (i.e., area or volume, in continuous Euclidean space, or number of elements, in grids) of the image : :. The pattern spectrum or size distribution of ''X'' is the collection of sets , , given by: :. The parameter ''k'' is referred to as ''size'', and the component ''k'' of the pattern spectrum provides a rough estimate for the amount of grains of size ''k'' in the image ''X''. Peaks of indicate relatively large quantities of grains of the corresponding sizes. 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「Granulometry (morphology)」の詳細全文を読む スポンサード リンク
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