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[求助]
帮忙翻译一段数学形态学的概念性语句，谢谢
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| 数学形态学基本运算包括腐蚀、膨胀、开运算和闭运算。一般来说，腐蚀收缩图像，膨胀扩大图像。腐蚀运算可以减弱甚至消除小于结构元素的明亮区域，膨胀可填补空洞和填平图像上不平滑的凹陷部分。将腐蚀和膨胀进行组合，先腐蚀后膨胀为开运算，先膨胀后腐蚀为闭运算。开运算能平滑图像的轮廓，消除尺寸较小的亮细节；闭运算能融合窄的缺口和细长的弯口，消除尺寸较小的暗细节. 高帽变换是原始图像与图像的开运算结果之差，最初对这种变换命名缘于它使用上部平坦的圆柱形或平行六面体形(像一顶高帽)作为结构元素。低帽变换是图像的闭运算结果与原始图像之差。 |
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| The basic operators of mathematical morphology (MM) include erosion, dilation, opening and closing. Generally speaking, corrosion shrinks the images while dilation enlarges images. Corrosion can weaken or even eliminate the bright details smaller than structural elements. In contrast, dilation can fill the cavity as well as fix the unsmoothed portion of images. Opening and closing are the combination of erosion and dilation in different sequences, i.e., opening is obtained by erosion first followed by dilation while closing is obtained by dilation first followed by erosion. Opening can smooth contours of the images and eliminate smaller size bright details. In contrast, closing can integrate the narrow gaps and slender curved mouth as well as eliminate smaller size dark details. The top-hat transform is defined as the difference between the input (original) image and the results of opening. Top-hat transform was originally named because of its use of a flat upper part of a cylindrical parallelepiped shape. Bottom-cap transformation is defined as the difference between the results of closing and the input (original) images. |
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