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Study of statistical properties of gray-scale compound morphological operators using the basis matrix

机译:基于基矩阵的灰度复合形态算子统计特性研究

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Abstract: In this paper, we expand the statistical properties of grayscale compound function processing (FP) morphological operators. This is achieved by utilizing the basis matrix representation which is an extension of the basis function theorem. It is shown that the basis matrix is skew symmetric and this fact is highly exploited in finding the output density functions of grayscale opening and closing. The proposed method is also applicable to function set processing operators since these operators are a special case of the FP operators. !12
机译:摘要:本文扩展了灰度复合函数处理(FP)形态学算子的统计性质。这是通过利用作为基本函数定理的扩展的基本矩阵表示来实现的。结果表明,基矩阵是倾斜对称的,这一事实在寻找灰度开闭的输出密度函数中得到了高度的利用。所提出的方法还适用于功能集处理运算符,因为这些运算符是FP运算符的特例。 !12

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