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There is no built-in function for this. I'm not very familiar with this area, so I'm not sure how easily it could be implemented.  I don't know what alpha, f(alpha), q, Dq.etc are and really. Can you possibly break the analysis down into parts and...
You have some programs in A. Dauphiné, Fractal Geography, Wiley, 2013 But multifractal is not used for binary image. It is necessary for gray image.