Corrosion and expansion of java images

Corrosion: Ba is obtained after translating structural element B by a. If Ba is included in X, we record this point a. The set of all a points that meet the above conditions is called the result of Erosion of X by B. The formula is expressed as: E(X)={a|
Ba

X}=X

B, as shown in the figure

Expansion: It can be seen as the dual operation of corrosion. Its definition is: after translating structural element B by a, Ba is obtained. If Ba hits X, we record this point a. The set of all points a that satisfy the above conditions is called the result of X being expanded by B. The formula is expressed as: D(X)={a
| Ba↑X}=X

B, as shown in the figure.

For more details, please see Image Expansion, Erosion, and Refinement
Now that we understand the principle, here is the code to implement it:
Expansion:

public void Expand(int[][] mask){
		IterBinary();//二值化
		int mh = mask.length;
		int mw = mask[1].length;
		int sh = (mh+1)/2;
		int sw = (mw+1)/2;
		
		int[] d= new int[w*h];
		
		for(int i=(mh-1)/2+1;i<h-(mh-1)/2;i++){
			for(int j=(mw-1)/2+1;j<w-(mw-1)/2;j++){
			   int s = 0;
			   
		       for(int m=0; m<mh ; m++){
		    	   for(int n=0;n<mw;n++){
		    		   if(mask[m]
*this.data[j+n-sw +(i+m-sh)*w] == 255)
		    			   s = 255;
		    	   }
		       }
		       
		       d[j + i * w] = s;   
			}
		}
		
		this.data = d;
	}

Corrosion:

public void Erosion(int[][] mask){
		
		IterBinary();//二值化
		int mh = mask.length;
		int mw = mask[1].length;
		int sh = (mh+1)/2;
		int sw = (mw+1)/2;
		
		int[] d= new int[w*h];
		
		for(int i=(mh-1)/2+1;i<h-(mh-1)/2;i++){
			for(int j=(mw-1)/2+1;j<w-(mw-1)/2;j++){
			   int s = 0;
			   
		       for(int m=0; m<mh ; m++){
		    	   for(int n=0;n<mw;n++){
		    		   if(mask[m]
*255 == this.data[j+n-sw +(i+m-sh)*w])
		    			   s++;
		    	   }
		       }
		       
		       d[j + i * w] = (s==mh*mw)?255:0;   
			}
		}
		
		this.data = d;
	}

Among them, mask is the template, and we all take a 3*3 all-one matrix. Note that these two operations are performed on white text on a black background.

Original image and the result of expansion on the original image:

Then corrode based on the expansion (in the original image There will be no corrosion. .):

## If the dialogue is black on a white background, the results are just the opposite, and the result is as follows:

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