Granulometry in image processing

Hi - I am trying to interpret the 'first derivative of the object distribution' in an image as is mentioned in the Matlab tutorial of granulometry.
What is a good way to explain this in simple terms?
I am specifically trying to interpret what the plot tells us about the image. The explanation from the link is not very intuitive to me.
Thanks Nad

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Nad
2012-9-25

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