Prove that conditional scaling g(u)=b(u+a) with a=IIJJ,andb=JI correctly maps an image J into an image Jnew that has the mean and variance identical to those corresponding values of the image I used for normalization. In other words, the gray level u at pixel p in J is mapped onto the new value v=g(u) at the same pixel p in Jnew. Show that Jnew=I and Jnew=I