```Date: Dec 28, 2012 2:33 PM
Author: sudesh
Subject: Minimize a function

I need to minimize the following function for edge preservation in image restoration -F(u)=summation of (abs(u(i,j)-y(i,j)) + 5/2(S1+S2)) ..... summation over all (i,j) belongs to Noisy set N here S1=Summation of(2*abs(u(i,j)-u(m,n))^1.3)   summation over all (m,n) belongs to some set N1andS2=Summation of(abs(u(i,j)-u(m,n))^1.3)   summation over all (m,n) belongs to some set N2Given: y is noisy image, amy as image obtained by adaptive median filter is given.I have been trying to code this problem in following way, but not able to understand this correctly.----------------------------for i=1:numel(N)    V=[i-1 i+1 i-row i+row];    V(V<=0)=[];    NcV=intersect(V,Nc);    NV=intersect(V,N);    S1=0;S2=0;    for nm=1:numel(NcV)        S1=S1+(2*(abs(amy(N(i))-y(NcV(nm))))^1.3);    end        for nm=1:numel(NV)        S2=S2+(abs(amy(N(i))-y(NV(nm))))^1.3;    end        sum=sum+abs(amy(N(i))-y(N(i)))+(5/2)*(S1+S2);end-----------------------------I think I need to include some function from optimization toolbox but dont know how in this situation. Please suggest!!!!
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