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sudesh
Posts:
15
Registered:
11/2/11


Minimize a function
Posted:
Dec 28, 2012 2:33 PM


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 N1 and S2=Summation of(abs(u(i,j)u(m,n))^1.3) summation over all (m,n) belongs to some set N2
Given: 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=[i1 i+1 irow 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!!!!



