图像的数学形态学处理

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预备知识

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膨胀和腐蚀

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se = strel('diamond', 3)
B = getnhood(se)

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组合运算

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g = bwmorph(f, operation, n);

g1 = bwmorph(f, 'thin', 1);
g2 = bwmorph(f, 'thin', 2);
ginf = bwmorph(f, 'thin', Inf);

fs = bwmorph(f, 'skel', Inf);

fs = fs&~endpoints(fs)

标记连通分量

一个像素p的上下左右四个像素称为4邻接像素，上下左右再加上四个对角线像素称为8邻接像素。如果两个像素p1和pn之间存在一条路径p1,p2,...pn，其中每相邻两个之间都是4邻接的，则称p1和pn是4连通的；如果每相邻两个像素之间都是8邻接的，则称p1和pn是8连通的；如果不存在这样的路径，则称为p1和pn是不连通的。与p连通的所有像素的集合称为包含p的连通分量。

在matlab中，可以由bwlabel函数来找出连通分量，为不同的连通分量标上不同的标记。

[L num] = bwlabel(f, conn)

conn是4或者8，表示选择4连通或者8连通。

形态学重构

1. 由重构做开运算

2. 填充空洞

3. 清除边界对象