Problem 2: An image has the grey level probability density function (or histogram normalized by the number of pixels) p,(r) shown below left. P,(r) Pr(r) 2 1 (i) Find the pixel transformation y = g(r) such that after transformation the image has a flat PDF, i.e. which accomplishes histogram equalisation. Assume continuous variables r,y. (ii) It is desired to find a transformation z = f(r) such that the transformed image will have the %3D PDF of p,(r) shown above right. Assume continuous quantities and determine the transformation function z = f(r). 2.

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