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Try doing some debugging by printing out the values of the variables that are used to see what the code is doing.
For example what is in diff for each x and y?

The BufferedImage class has methods that allow you to access the pixels in the image.

By common parts do you mean a pixel by pixel comparison of the two images from 0,0 (upper left) to width,length (lower right)and when the pixels match, that pixel is copied to image3? What value is...

What does a "logical operation" between images mean? Can you explain what you are talking about?

Do you have any more questions now?

Can you explain what "AND operation" means with images? It does not make sense to me.