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Error in objective_fusion_perform_fn (line 38)
[gvA,ghA]=sobel_fn(x{1});
function [gv gh]=sobel_fn(x)
%%% sobel_fn: Computes the vertical & horizontal edges of x using sobel operator.
%%%
%%% [gv gh]=sobel_fn(x)
%%%
%%% Author : B. K. SHREYAMSHA KUMAR
%%% Created on 28-10-2011.
%%% Updated on 28-10-2011.
vtemp=[-1 0 1;-2 0 2;-1 0 1]/8;
htemp=[-1 -2 -1;-0 0 0;1 2 1]/8;
[a b]=size(htemp);
x_ext=per_extn_im_fn(x,a);
[p,q]=size(x_ext);
for ii=2:p-1
for jj=2:q-1
gv(ii-1,jj-1)=sum(sum(x_ext(ii-1:ii+1,jj-1:jj+1).*vtemp));
gh(ii-1,jj-1)=sum(sum(x_ext(ii-1:ii+1,jj-1:jj+1).*htemp));
end
end
function [QABF,LABF,NABF,NABF1]=objective_fusion_perform_fn(xrcw,x)
%%% objective_fusion_perform_fn: Computes the Objective Fusion Performance Parameters proposed by Petrovic
%%% and modified Fusion Artifacts (NABF) measure proposed by B. K. Shreyamsha Kumar
%%%
%%% Inputs:
%%% xrcw -> fused image
%%% x -> source images, x{1}, x{2}
%%%
%%% Outputs:
%%% QABF -> Total information transferred from source images to fused image measure proposed by Petrovic
%%% LABF -> Total loss of information measure proposed by Petrovic
%%% NABF1 -> Fusion Artifacts measure proposed by Petrovic
%%% NABF -> Modified Fusion Artifacts measure proposed by B. K. Shreyamsha Kumar
%%%
%%% Author : B. K. SHREYAMSHA KUMAR
%%% Created on 28-10-2011.
%%% Updated on 08-11-2011.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Petrovic Metrics %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Parameters for Petrovic Metrics Computation.
Td=2;
wt_min=0.001;
P=1;
Lg=1.5;
Nrg=0.9999;
kg=19;
sigmag=0.5;
Nra=0.9995;
ka=22;
sigmaa=0.5;
%%% Edge Strength & Orientation.
[gvA,ghA]=sobel_fn(x{1});
gA=sqrt(ghA.^2+gvA.^2);
[gvB,ghB]=sobel_fn(x{2});
gB=sqrt(ghB.^2+gvB.^2);
[gvF,ghF]=sobel_fn(xrcw);
gF=sqrt(ghF.^2+gvF.^2);
%%% Relative Edge Strength & Orientation.
[p,q]=size(xrcw);
for ii=1:p
for jj=1:q
if(gA(ii,jj)==0 | gF(ii,jj)==0)
gAF(ii,jj)=0;
elseif(gA(ii,jj)>gF(ii,jj))
gAF(ii,jj)=gF(ii,jj)/gA(ii,jj);
else
gAF(ii,jj)=gA(ii,jj)/gF(ii,jj);
end
if(gB(ii,jj)==0 | gF(ii,jj)==0)
gBF(ii,jj)=0;
elseif(gB(ii,jj)>gF(ii,jj))
gBF(ii,jj)=gF(ii,jj)/gB(ii,jj);
else
gBF(ii,jj)=gB(ii,jj)/gF(ii,jj);
end
if(gvA(ii,jj)==0 & ghA(ii,jj)==0)
aA(ii,jj)=0;
else
aA(ii,jj)=atan(gvA(ii,jj)/ghA(ii,jj));
end
if(gvB(ii,jj)==0 & ghB(ii,jj)==0)
aB(ii,jj)=0;
else
aB(ii,jj)=atan(gvB(ii,jj)/ghB(ii,jj));
end
if(gvF(ii,jj)==0 & ghF(ii,jj)==0)
aF(ii,jj)=0;
else
aF(ii,jj)=atan(gvF(ii,jj)/ghF(ii,jj));
end
end
end
aAF=abs(abs(aA-aF)-pi/2)*2/pi;
aBF=abs(abs(aB-aF)-pi/2)*2/pi;
%%% Edge Preservation Coefficient.
QgAF=Nrg./(1+exp(-kg*(gAF-sigmag)));
QaAF=Nra./(1+exp(-ka*(aAF-sigmaa)));
QAF=sqrt(QgAF.*QaAF);
QgBF=Nrg./(1+exp(-kg*(gBF-sigmag)));
QaBF=Nra./(1+exp(-ka*(aBF-sigmaa)));
QBF=sqrt(QgBF.*QaBF);
%%% Total Fusion Performance (QABF).
wtA=wt_min*ones(p,q);
wtB=wt_min*ones(p,q);
cA=ones(p,q); cB=ones(p,q);
for ii=1:p
for jj=1:q
if(gA(ii,jj)>=Td)
wtA(ii,jj)=cA(ii,jj)*gA(ii,jj)^Lg;
end
if(gB(ii,jj)>=Td)
wtB(ii,jj)=cB(ii,jj)*gB(ii,jj)^Lg;
end
end
end
wt_sum=sum(sum(wtA+wtB));
QAF_wtsum=sum(sum(QAF.*wtA))/wt_sum; %% Information Contributions of A.
QBF_wtsum=sum(sum(QBF.*wtB))/wt_sum; %% Information Contributions of B.
QABF=QAF_wtsum+QBF_wtsum %% QABF=sum(sum(QAF.*wtA+QBF.*wtB))/wt_sum -> Total Fusion Performance.
%%% Fusion Gain (QdeltaABF).
Qdelta=abs(QAF-QBF);
QCinfo=(QAF+QBF-Qdelta)/2;
QdeltaAF=QAF-QCinfo;
QdeltaBF=QBF-QCinfo;
QdeltaAF_wtsum=sum(sum(QdeltaAF.*wtA))/wt_sum;
QdeltaBF_wtsum=sum(sum(QdeltaBF.*wtB))/wt_sum;
QdeltaABF=QdeltaAF_wtsum+QdeltaBF_wtsum; %% Total Fusion Gain.
QCinfo_wtsum=sum(sum(QCinfo.*(wtA+wtB)))/wt_sum;
QABF11=QdeltaABF+QCinfo_wtsum; %% Total Fusion Performance.
%%% Fusion Loss (LABF).
rr=zeros(p,q);
for ii=1:p
for jj=1:q
if(gF(ii,jj)<=gA(ii,jj) | gF(ii,jj)<=gB(ii,jj))
rr(ii,jj)=1;
else
rr(ii,jj)=0;
end
end
end
LABF=sum(sum(rr.*((1-QAF).*wtA+(1-QBF).*wtB)))/wt_sum
%%% Fusion Artifacts (NABF) by Petrovic.
for ii=1:p
for jj=1:q
if(gF(ii,jj)>gA(ii,jj) & gF(ii,jj)>gB(ii,jj))
na1(ii,jj)=2-QAF(ii,jj)-QBF(ii,jj);
else
na1(ii,jj)=0;
end
end
end
NABF1=sum(sum(na1.*(wtA+wtB)))/wt_sum
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Fusion Artifacts (NABF) changed by B. K. Shreyamsha Kumar .
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
for ii=1:p
for jj=1:q
if(gF(ii,jj)>gA(ii,jj) & gF(ii,jj)>gB(ii,jj))
na(ii,jj)=1;
else
na(ii,jj)=0;
end
end
end
NABF=sum(sum(na.*((1-QAF).*wtA+(1-QBF).*wtB)))/wt_sum
QABF+LABF+NABF1
QABF+LABF+NABF
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