An image with intensities in the range [0,1] has the PDF pr(r) shown in the following diag...

An image with intensities in the range [0,1] has the PDF pr(r) shown in the following diagram. It is desired to transform the intensity levels of this image so that they will have the specified pz(z) shown. Assume continuous quantities and find the transformation (in terms of r and z) that will accomplish this.