数字图像处理中开闭的区别

打开和关闭是数字图像处理中用于恢复侵蚀图像的双重操作。开孔一般用于最大限度地还原或恢复原始图像。闭合通常用于使失真图像的轮廓更加平滑，并融合回狭窄的中断和细长的海湾。 Closing 也用于去除所获得图像的小孔。

Opening和Closing的组合通常用于在将图像用于数字分析之前清除分割图像中的伪影。

Opening 和 Closing 之间的一些区别是：

S.No.	Opening	Closing
1.	Opening is a process in which first erosion operation is performed and then dilation operation is performed.	Closing is a process in which first dilation operation is performed and then erosion operation is performed.
2.	Opening operation performed on X & Y is the union of all translations of Y that fit entirely within X.	Closing operation performed on X & Y is the complement of the union of all translations of Y that do not fit entirely within X.
3.	It eliminates the thin protrusions of the obtained image.	It eliminates the small holes from the obtained image.
4.	Opening operation performed on X & Y is represented by (AoB).	Closing operation performed on X & Y is represented by (A.B)
5.	Opening is used for removing internal noise of the obtained image.	Closing is used for smoothening of contour and fusing of narrow breaks.

开口表示为：

Properties of Opening are:
    1. XoY is a subset (subimage of X)
    2. If X is a subset of Z then XoY  is a subset of ZoY
    3.(XoY)oY = XoY

关闭表示为：

Properties of Closing are:
    1. X is a subset subimage of X.Y
    2. (X.Y).Y = X.Y